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1 <HTML>
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2 <BODY BGCOLOR="white">
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3 <PRE>
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4 <FONT color="green">001</FONT> /*<a name="line.1"></a>
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5 <FONT color="green">002</FONT> * Licensed to the Apache Software Foundation (ASF) under one or more<a name="line.2"></a>
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6 <FONT color="green">003</FONT> * contributor license agreements. See the NOTICE file distributed with<a name="line.3"></a>
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7 <FONT color="green">004</FONT> * this work for additional information regarding copyright ownership.<a name="line.4"></a>
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8 <FONT color="green">005</FONT> * The ASF licenses this file to You under the Apache License, Version 2.0<a name="line.5"></a>
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9 <FONT color="green">006</FONT> * (the "License"); you may not use this file except in compliance with<a name="line.6"></a>
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10 <FONT color="green">007</FONT> * the License. You may obtain a copy of the License at<a name="line.7"></a>
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11 <FONT color="green">008</FONT> *<a name="line.8"></a>
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12 <FONT color="green">009</FONT> * http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a>
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13 <FONT color="green">010</FONT> *<a name="line.10"></a>
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14 <FONT color="green">011</FONT> * Unless required by applicable law or agreed to in writing, software<a name="line.11"></a>
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15 <FONT color="green">012</FONT> * distributed under the License is distributed on an "AS IS" BASIS,<a name="line.12"></a>
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16 <FONT color="green">013</FONT> * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.<a name="line.13"></a>
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17 <FONT color="green">014</FONT> * See the License for the specific language governing permissions and<a name="line.14"></a>
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18 <FONT color="green">015</FONT> * limitations under the License.<a name="line.15"></a>
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19 <FONT color="green">016</FONT> */<a name="line.16"></a>
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20 <FONT color="green">017</FONT> <a name="line.17"></a>
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21 <FONT color="green">018</FONT> package org.apache.commons.math.linear;<a name="line.18"></a>
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22 <FONT color="green">019</FONT> <a name="line.19"></a>
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23 <FONT color="green">020</FONT> <a name="line.20"></a>
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24 <FONT color="green">021</FONT> /**<a name="line.21"></a>
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25 <FONT color="green">022</FONT> * Interface defining a real-valued matrix with basic algebraic operations.<a name="line.22"></a>
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26 <FONT color="green">023</FONT> * <p><a name="line.23"></a>
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27 <FONT color="green">024</FONT> * Matrix element indexing is 0-based -- e.g., <code>getEntry(0, 0)</code><a name="line.24"></a>
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28 <FONT color="green">025</FONT> * returns the element in the first row, first column of the matrix.</p><a name="line.25"></a>
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29 <FONT color="green">026</FONT> *<a name="line.26"></a>
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30 <FONT color="green">027</FONT> * @version $Revision: 811786 $ $Date: 2009-09-06 05:36:08 -0400 (Sun, 06 Sep 2009) $<a name="line.27"></a>
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31 <FONT color="green">028</FONT> */<a name="line.28"></a>
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32 <FONT color="green">029</FONT> public interface RealMatrix extends AnyMatrix {<a name="line.29"></a>
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33 <FONT color="green">030</FONT> <a name="line.30"></a>
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34 <FONT color="green">031</FONT> /**<a name="line.31"></a>
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35 <FONT color="green">032</FONT> * Create a new RealMatrix of the same type as the instance with the supplied<a name="line.32"></a>
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36 <FONT color="green">033</FONT> * row and column dimensions.<a name="line.33"></a>
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37 <FONT color="green">034</FONT> *<a name="line.34"></a>
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38 <FONT color="green">035</FONT> * @param rowDimension the number of rows in the new matrix<a name="line.35"></a>
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39 <FONT color="green">036</FONT> * @param columnDimension the number of columns in the new matrix<a name="line.36"></a>
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40 <FONT color="green">037</FONT> * @return a new matrix of the same type as the instance<a name="line.37"></a>
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41 <FONT color="green">038</FONT> * @throws IllegalArgumentException if row or column dimension is not positive<a name="line.38"></a>
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42 <FONT color="green">039</FONT> * @since 2.0<a name="line.39"></a>
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43 <FONT color="green">040</FONT> */<a name="line.40"></a>
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44 <FONT color="green">041</FONT> RealMatrix createMatrix(final int rowDimension, final int columnDimension);<a name="line.41"></a>
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45 <FONT color="green">042</FONT> <a name="line.42"></a>
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46 <FONT color="green">043</FONT> /**<a name="line.43"></a>
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47 <FONT color="green">044</FONT> * Returns a (deep) copy of this.<a name="line.44"></a>
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48 <FONT color="green">045</FONT> *<a name="line.45"></a>
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49 <FONT color="green">046</FONT> * @return matrix copy<a name="line.46"></a>
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50 <FONT color="green">047</FONT> */<a name="line.47"></a>
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51 <FONT color="green">048</FONT> RealMatrix copy();<a name="line.48"></a>
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52 <FONT color="green">049</FONT> <a name="line.49"></a>
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53 <FONT color="green">050</FONT> /**<a name="line.50"></a>
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54 <FONT color="green">051</FONT> * Compute the sum of this and m.<a name="line.51"></a>
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55 <FONT color="green">052</FONT> *<a name="line.52"></a>
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56 <FONT color="green">053</FONT> * @param m matrix to be added<a name="line.53"></a>
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57 <FONT color="green">054</FONT> * @return this + m<a name="line.54"></a>
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58 <FONT color="green">055</FONT> * @throws IllegalArgumentException if m is not the same size as this<a name="line.55"></a>
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59 <FONT color="green">056</FONT> */<a name="line.56"></a>
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60 <FONT color="green">057</FONT> RealMatrix add(RealMatrix m) throws IllegalArgumentException;<a name="line.57"></a>
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61 <FONT color="green">058</FONT> <a name="line.58"></a>
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62 <FONT color="green">059</FONT> /**<a name="line.59"></a>
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63 <FONT color="green">060</FONT> * Compute this minus m.<a name="line.60"></a>
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64 <FONT color="green">061</FONT> *<a name="line.61"></a>
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65 <FONT color="green">062</FONT> * @param m matrix to be subtracted<a name="line.62"></a>
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66 <FONT color="green">063</FONT> * @return this - m<a name="line.63"></a>
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67 <FONT color="green">064</FONT> * @throws IllegalArgumentException if m is not the same size as this<a name="line.64"></a>
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68 <FONT color="green">065</FONT> */<a name="line.65"></a>
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69 <FONT color="green">066</FONT> RealMatrix subtract(RealMatrix m) throws IllegalArgumentException;<a name="line.66"></a>
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70 <FONT color="green">067</FONT> <a name="line.67"></a>
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71 <FONT color="green">068</FONT> /**<a name="line.68"></a>
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72 <FONT color="green">069</FONT> * Returns the result of adding d to each entry of this.<a name="line.69"></a>
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73 <FONT color="green">070</FONT> *<a name="line.70"></a>
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74 <FONT color="green">071</FONT> * @param d value to be added to each entry<a name="line.71"></a>
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75 <FONT color="green">072</FONT> * @return d + this<a name="line.72"></a>
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76 <FONT color="green">073</FONT> */<a name="line.73"></a>
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77 <FONT color="green">074</FONT> RealMatrix scalarAdd(double d);<a name="line.74"></a>
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78 <FONT color="green">075</FONT> <a name="line.75"></a>
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79 <FONT color="green">076</FONT> /**<a name="line.76"></a>
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80 <FONT color="green">077</FONT> * Returns the result multiplying each entry of this by d.<a name="line.77"></a>
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81 <FONT color="green">078</FONT> *<a name="line.78"></a>
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82 <FONT color="green">079</FONT> * @param d value to multiply all entries by<a name="line.79"></a>
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83 <FONT color="green">080</FONT> * @return d * this<a name="line.80"></a>
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84 <FONT color="green">081</FONT> */<a name="line.81"></a>
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85 <FONT color="green">082</FONT> RealMatrix scalarMultiply(double d);<a name="line.82"></a>
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86 <FONT color="green">083</FONT> <a name="line.83"></a>
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87 <FONT color="green">084</FONT> /**<a name="line.84"></a>
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88 <FONT color="green">085</FONT> * Returns the result of postmultiplying this by m.<a name="line.85"></a>
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89 <FONT color="green">086</FONT> *<a name="line.86"></a>
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90 <FONT color="green">087</FONT> * @param m matrix to postmultiply by<a name="line.87"></a>
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91 <FONT color="green">088</FONT> * @return this * m<a name="line.88"></a>
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92 <FONT color="green">089</FONT> * @throws IllegalArgumentException<a name="line.89"></a>
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93 <FONT color="green">090</FONT> * if columnDimension(this) != rowDimension(m)<a name="line.90"></a>
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94 <FONT color="green">091</FONT> */<a name="line.91"></a>
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95 <FONT color="green">092</FONT> RealMatrix multiply(RealMatrix m) throws IllegalArgumentException;<a name="line.92"></a>
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96 <FONT color="green">093</FONT> <a name="line.93"></a>
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97 <FONT color="green">094</FONT> /**<a name="line.94"></a>
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98 <FONT color="green">095</FONT> * Returns the result premultiplying this by <code>m</code>.<a name="line.95"></a>
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99 <FONT color="green">096</FONT> * @param m matrix to premultiply by<a name="line.96"></a>
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100 <FONT color="green">097</FONT> * @return m * this<a name="line.97"></a>
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101 <FONT color="green">098</FONT> * @throws IllegalArgumentException<a name="line.98"></a>
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102 <FONT color="green">099</FONT> * if rowDimension(this) != columnDimension(m)<a name="line.99"></a>
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103 <FONT color="green">100</FONT> */<a name="line.100"></a>
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104 <FONT color="green">101</FONT> RealMatrix preMultiply(RealMatrix m) throws IllegalArgumentException;<a name="line.101"></a>
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105 <FONT color="green">102</FONT> <a name="line.102"></a>
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106 <FONT color="green">103</FONT> /**<a name="line.103"></a>
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107 <FONT color="green">104</FONT> * Returns matrix entries as a two-dimensional array.<a name="line.104"></a>
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108 <FONT color="green">105</FONT> *<a name="line.105"></a>
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109 <FONT color="green">106</FONT> * @return 2-dimensional array of entries<a name="line.106"></a>
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110 <FONT color="green">107</FONT> */<a name="line.107"></a>
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111 <FONT color="green">108</FONT> double[][] getData();<a name="line.108"></a>
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112 <FONT color="green">109</FONT> <a name="line.109"></a>
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113 <FONT color="green">110</FONT> /**<a name="line.110"></a>
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114 <FONT color="green">111</FONT> * Returns the <a href="http://mathworld.wolfram.com/MaximumAbsoluteRowSumNorm.html"><a name="line.111"></a>
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115 <FONT color="green">112</FONT> * maximum absolute row sum norm</a> of the matrix.<a name="line.112"></a>
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116 <FONT color="green">113</FONT> *<a name="line.113"></a>
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117 <FONT color="green">114</FONT> * @return norm<a name="line.114"></a>
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118 <FONT color="green">115</FONT> */<a name="line.115"></a>
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119 <FONT color="green">116</FONT> double getNorm();<a name="line.116"></a>
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120 <FONT color="green">117</FONT> <a name="line.117"></a>
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121 <FONT color="green">118</FONT> /**<a name="line.118"></a>
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122 <FONT color="green">119</FONT> * Returns the <a href="http://mathworld.wolfram.com/FrobeniusNorm.html"><a name="line.119"></a>
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123 <FONT color="green">120</FONT> * Frobenius norm</a> of the matrix.<a name="line.120"></a>
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124 <FONT color="green">121</FONT> *<a name="line.121"></a>
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125 <FONT color="green">122</FONT> * @return norm<a name="line.122"></a>
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126 <FONT color="green">123</FONT> */<a name="line.123"></a>
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127 <FONT color="green">124</FONT> double getFrobeniusNorm();<a name="line.124"></a>
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128 <FONT color="green">125</FONT> <a name="line.125"></a>
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129 <FONT color="green">126</FONT> /**<a name="line.126"></a>
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130 <FONT color="green">127</FONT> * Gets a submatrix. Rows and columns are indicated<a name="line.127"></a>
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131 <FONT color="green">128</FONT> * counting from 0 to n-1.<a name="line.128"></a>
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132 <FONT color="green">129</FONT> *<a name="line.129"></a>
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133 <FONT color="green">130</FONT> * @param startRow Initial row index<a name="line.130"></a>
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134 <FONT color="green">131</FONT> * @param endRow Final row index (inclusive)<a name="line.131"></a>
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135 <FONT color="green">132</FONT> * @param startColumn Initial column index<a name="line.132"></a>
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136 <FONT color="green">133</FONT> * @param endColumn Final column index (inclusive)<a name="line.133"></a>
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137 <FONT color="green">134</FONT> * @return The subMatrix containing the data of the<a name="line.134"></a>
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138 <FONT color="green">135</FONT> * specified rows and columns<a name="line.135"></a>
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139 <FONT color="green">136</FONT> * @exception MatrixIndexException if the indices are not valid<a name="line.136"></a>
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140 <FONT color="green">137</FONT> */<a name="line.137"></a>
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141 <FONT color="green">138</FONT> RealMatrix getSubMatrix(int startRow, int endRow, int startColumn, int endColumn)<a name="line.138"></a>
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142 <FONT color="green">139</FONT> throws MatrixIndexException;<a name="line.139"></a>
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143 <FONT color="green">140</FONT> <a name="line.140"></a>
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144 <FONT color="green">141</FONT> /**<a name="line.141"></a>
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145 <FONT color="green">142</FONT> * Gets a submatrix. Rows and columns are indicated<a name="line.142"></a>
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146 <FONT color="green">143</FONT> * counting from 0 to n-1.<a name="line.143"></a>
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147 <FONT color="green">144</FONT> *<a name="line.144"></a>
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148 <FONT color="green">145</FONT> * @param selectedRows Array of row indices.<a name="line.145"></a>
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149 <FONT color="green">146</FONT> * @param selectedColumns Array of column indices.<a name="line.146"></a>
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150 <FONT color="green">147</FONT> * @return The subMatrix containing the data in the<a name="line.147"></a>
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151 <FONT color="green">148</FONT> * specified rows and columns<a name="line.148"></a>
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152 <FONT color="green">149</FONT> * @exception MatrixIndexException if row or column selections are not valid<a name="line.149"></a>
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153 <FONT color="green">150</FONT> */<a name="line.150"></a>
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154 <FONT color="green">151</FONT> RealMatrix getSubMatrix(int[] selectedRows, int[] selectedColumns)<a name="line.151"></a>
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155 <FONT color="green">152</FONT> throws MatrixIndexException;<a name="line.152"></a>
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156 <FONT color="green">153</FONT> <a name="line.153"></a>
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157 <FONT color="green">154</FONT> /**<a name="line.154"></a>
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158 <FONT color="green">155</FONT> * Copy a submatrix. Rows and columns are indicated<a name="line.155"></a>
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159 <FONT color="green">156</FONT> * counting from 0 to n-1.<a name="line.156"></a>
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160 <FONT color="green">157</FONT> *<a name="line.157"></a>
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161 <FONT color="green">158</FONT> * @param startRow Initial row index<a name="line.158"></a>
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162 <FONT color="green">159</FONT> * @param endRow Final row index (inclusive)<a name="line.159"></a>
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163 <FONT color="green">160</FONT> * @param startColumn Initial column index<a name="line.160"></a>
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164 <FONT color="green">161</FONT> * @param endColumn Final column index (inclusive)<a name="line.161"></a>
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165 <FONT color="green">162</FONT> * @param destination The arrays where the submatrix data should be copied<a name="line.162"></a>
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166 <FONT color="green">163</FONT> * (if larger than rows/columns counts, only the upper-left part will be used)<a name="line.163"></a>
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167 <FONT color="green">164</FONT> * @exception MatrixIndexException if the indices are not valid<a name="line.164"></a>
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168 <FONT color="green">165</FONT> * @exception IllegalArgumentException if the destination array is too small<a name="line.165"></a>
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169 <FONT color="green">166</FONT> */<a name="line.166"></a>
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170 <FONT color="green">167</FONT> void copySubMatrix(int startRow, int endRow, int startColumn, int endColumn,<a name="line.167"></a>
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171 <FONT color="green">168</FONT> double[][] destination)<a name="line.168"></a>
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172 <FONT color="green">169</FONT> throws MatrixIndexException, IllegalArgumentException;<a name="line.169"></a>
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173 <FONT color="green">170</FONT> <a name="line.170"></a>
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174 <FONT color="green">171</FONT> /**<a name="line.171"></a>
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175 <FONT color="green">172</FONT> * Copy a submatrix. Rows and columns are indicated<a name="line.172"></a>
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176 <FONT color="green">173</FONT> * counting from 0 to n-1.<a name="line.173"></a>
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177 <FONT color="green">174</FONT> *<a name="line.174"></a>
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178 <FONT color="green">175</FONT> * @param selectedRows Array of row indices.<a name="line.175"></a>
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179 <FONT color="green">176</FONT> * @param selectedColumns Array of column indices.<a name="line.176"></a>
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180 <FONT color="green">177</FONT> * @param destination The arrays where the submatrix data should be copied<a name="line.177"></a>
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181 <FONT color="green">178</FONT> * (if larger than rows/columns counts, only the upper-left part will be used)<a name="line.178"></a>
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182 <FONT color="green">179</FONT> * @exception MatrixIndexException if the indices are not valid<a name="line.179"></a>
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183 <FONT color="green">180</FONT> * @exception IllegalArgumentException if the destination array is too small<a name="line.180"></a>
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184 <FONT color="green">181</FONT> */<a name="line.181"></a>
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185 <FONT color="green">182</FONT> void copySubMatrix(int[] selectedRows, int[] selectedColumns, double[][] destination)<a name="line.182"></a>
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186 <FONT color="green">183</FONT> throws MatrixIndexException, IllegalArgumentException;<a name="line.183"></a>
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187 <FONT color="green">184</FONT> <a name="line.184"></a>
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188 <FONT color="green">185</FONT> /**<a name="line.185"></a>
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189 <FONT color="green">186</FONT> * Replace the submatrix starting at <code>row, column</code> using data in<a name="line.186"></a>
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190 <FONT color="green">187</FONT> * the input <code>subMatrix</code> array. Indexes are 0-based.<a name="line.187"></a>
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191 <FONT color="green">188</FONT> * <p><a name="line.188"></a>
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192 <FONT color="green">189</FONT> * Example:<br><a name="line.189"></a>
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193 <FONT color="green">190</FONT> * Starting with <pre><a name="line.190"></a>
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194 <FONT color="green">191</FONT> * 1 2 3 4<a name="line.191"></a>
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195 <FONT color="green">192</FONT> * 5 6 7 8<a name="line.192"></a>
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196 <FONT color="green">193</FONT> * 9 0 1 2<a name="line.193"></a>
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197 <FONT color="green">194</FONT> * </pre><a name="line.194"></a>
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198 <FONT color="green">195</FONT> * and <code>subMatrix = {{3, 4} {5,6}}</code>, invoking<a name="line.195"></a>
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199 <FONT color="green">196</FONT> * <code>setSubMatrix(subMatrix,1,1))</code> will result in <pre><a name="line.196"></a>
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200 <FONT color="green">197</FONT> * 1 2 3 4<a name="line.197"></a>
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201 <FONT color="green">198</FONT> * 5 3 4 8<a name="line.198"></a>
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202 <FONT color="green">199</FONT> * 9 5 6 2<a name="line.199"></a>
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203 <FONT color="green">200</FONT> * </pre></p><a name="line.200"></a>
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204 <FONT color="green">201</FONT> *<a name="line.201"></a>
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205 <FONT color="green">202</FONT> * @param subMatrix array containing the submatrix replacement data<a name="line.202"></a>
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206 <FONT color="green">203</FONT> * @param row row coordinate of the top, left element to be replaced<a name="line.203"></a>
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207 <FONT color="green">204</FONT> * @param column column coordinate of the top, left element to be replaced<a name="line.204"></a>
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208 <FONT color="green">205</FONT> * @throws MatrixIndexException if subMatrix does not fit into this<a name="line.205"></a>
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209 <FONT color="green">206</FONT> * matrix from element in (row, column)<a name="line.206"></a>
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210 <FONT color="green">207</FONT> * @throws IllegalArgumentException if <code>subMatrix</code> is not rectangular<a name="line.207"></a>
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211 <FONT color="green">208</FONT> * (not all rows have the same length) or empty<a name="line.208"></a>
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212 <FONT color="green">209</FONT> * @throws NullPointerException if <code>subMatrix</code> is null<a name="line.209"></a>
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213 <FONT color="green">210</FONT> * @since 2.0<a name="line.210"></a>
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214 <FONT color="green">211</FONT> */<a name="line.211"></a>
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215 <FONT color="green">212</FONT> void setSubMatrix(double[][] subMatrix, int row, int column)<a name="line.212"></a>
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216 <FONT color="green">213</FONT> throws MatrixIndexException;<a name="line.213"></a>
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217 <FONT color="green">214</FONT> <a name="line.214"></a>
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218 <FONT color="green">215</FONT> /**<a name="line.215"></a>
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219 <FONT color="green">216</FONT> * Returns the entries in row number <code>row</code><a name="line.216"></a>
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220 <FONT color="green">217</FONT> * as a row matrix. Row indices start at 0.<a name="line.217"></a>
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221 <FONT color="green">218</FONT> *<a name="line.218"></a>
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222 <FONT color="green">219</FONT> * @param row the row to be fetched<a name="line.219"></a>
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223 <FONT color="green">220</FONT> * @return row matrix<a name="line.220"></a>
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224 <FONT color="green">221</FONT> * @throws MatrixIndexException if the specified row index is invalid<a name="line.221"></a>
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225 <FONT color="green">222</FONT> */<a name="line.222"></a>
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226 <FONT color="green">223</FONT> RealMatrix getRowMatrix(int row) throws MatrixIndexException;<a name="line.223"></a>
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227 <FONT color="green">224</FONT> <a name="line.224"></a>
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228 <FONT color="green">225</FONT> /**<a name="line.225"></a>
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229 <FONT color="green">226</FONT> * Sets the entries in row number <code>row</code><a name="line.226"></a>
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230 <FONT color="green">227</FONT> * as a row matrix. Row indices start at 0.<a name="line.227"></a>
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231 <FONT color="green">228</FONT> *<a name="line.228"></a>
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232 <FONT color="green">229</FONT> * @param row the row to be set<a name="line.229"></a>
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233 <FONT color="green">230</FONT> * @param matrix row matrix (must have one row and the same number of columns<a name="line.230"></a>
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234 <FONT color="green">231</FONT> * as the instance)<a name="line.231"></a>
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235 <FONT color="green">232</FONT> * @throws MatrixIndexException if the specified row index is invalid<a name="line.232"></a>
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236 <FONT color="green">233</FONT> * @throws InvalidMatrixException if the matrix dimensions do not match one<a name="line.233"></a>
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237 <FONT color="green">234</FONT> * instance row<a name="line.234"></a>
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238 <FONT color="green">235</FONT> */<a name="line.235"></a>
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239 <FONT color="green">236</FONT> void setRowMatrix(int row, RealMatrix matrix)<a name="line.236"></a>
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240 <FONT color="green">237</FONT> throws MatrixIndexException, InvalidMatrixException;<a name="line.237"></a>
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241 <FONT color="green">238</FONT> <a name="line.238"></a>
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242 <FONT color="green">239</FONT> /**<a name="line.239"></a>
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243 <FONT color="green">240</FONT> * Returns the entries in column number <code>column</code><a name="line.240"></a>
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244 <FONT color="green">241</FONT> * as a column matrix. Column indices start at 0.<a name="line.241"></a>
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245 <FONT color="green">242</FONT> *<a name="line.242"></a>
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246 <FONT color="green">243</FONT> * @param column the column to be fetched<a name="line.243"></a>
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247 <FONT color="green">244</FONT> * @return column matrix<a name="line.244"></a>
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248 <FONT color="green">245</FONT> * @throws MatrixIndexException if the specified column index is invalid<a name="line.245"></a>
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249 <FONT color="green">246</FONT> */<a name="line.246"></a>
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250 <FONT color="green">247</FONT> RealMatrix getColumnMatrix(int column) throws MatrixIndexException;<a name="line.247"></a>
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251 <FONT color="green">248</FONT> <a name="line.248"></a>
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252 <FONT color="green">249</FONT> /**<a name="line.249"></a>
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253 <FONT color="green">250</FONT> * Sets the entries in column number <code>column</code><a name="line.250"></a>
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254 <FONT color="green">251</FONT> * as a column matrix. Column indices start at 0.<a name="line.251"></a>
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255 <FONT color="green">252</FONT> *<a name="line.252"></a>
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256 <FONT color="green">253</FONT> * @param column the column to be set<a name="line.253"></a>
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257 <FONT color="green">254</FONT> * @param matrix column matrix (must have one column and the same number of rows<a name="line.254"></a>
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258 <FONT color="green">255</FONT> * as the instance)<a name="line.255"></a>
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259 <FONT color="green">256</FONT> * @throws MatrixIndexException if the specified column index is invalid<a name="line.256"></a>
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260 <FONT color="green">257</FONT> * @throws InvalidMatrixException if the matrix dimensions do not match one<a name="line.257"></a>
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261 <FONT color="green">258</FONT> * instance column<a name="line.258"></a>
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262 <FONT color="green">259</FONT> */<a name="line.259"></a>
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263 <FONT color="green">260</FONT> void setColumnMatrix(int column, RealMatrix matrix)<a name="line.260"></a>
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264 <FONT color="green">261</FONT> throws MatrixIndexException, InvalidMatrixException;<a name="line.261"></a>
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265 <FONT color="green">262</FONT> <a name="line.262"></a>
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266 <FONT color="green">263</FONT> /**<a name="line.263"></a>
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267 <FONT color="green">264</FONT> * Returns the entries in row number <code>row</code><a name="line.264"></a>
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268 <FONT color="green">265</FONT> * as a vector. Row indices start at 0.<a name="line.265"></a>
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269 <FONT color="green">266</FONT> *<a name="line.266"></a>
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270 <FONT color="green">267</FONT> * @param row the row to be fetched<a name="line.267"></a>
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|
271 <FONT color="green">268</FONT> * @return row vector<a name="line.268"></a>
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272 <FONT color="green">269</FONT> * @throws MatrixIndexException if the specified row index is invalid<a name="line.269"></a>
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273 <FONT color="green">270</FONT> */<a name="line.270"></a>
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274 <FONT color="green">271</FONT> RealVector getRowVector(int row) throws MatrixIndexException;<a name="line.271"></a>
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275 <FONT color="green">272</FONT> <a name="line.272"></a>
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276 <FONT color="green">273</FONT> /**<a name="line.273"></a>
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277 <FONT color="green">274</FONT> * Sets the entries in row number <code>row</code><a name="line.274"></a>
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278 <FONT color="green">275</FONT> * as a vector. Row indices start at 0.<a name="line.275"></a>
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279 <FONT color="green">276</FONT> *<a name="line.276"></a>
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280 <FONT color="green">277</FONT> * @param row the row to be set<a name="line.277"></a>
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|
281 <FONT color="green">278</FONT> * @param vector row vector (must have the same number of columns<a name="line.278"></a>
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282 <FONT color="green">279</FONT> * as the instance)<a name="line.279"></a>
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|
283 <FONT color="green">280</FONT> * @throws MatrixIndexException if the specified row index is invalid<a name="line.280"></a>
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|
284 <FONT color="green">281</FONT> * @throws InvalidMatrixException if the vector dimension does not match one<a name="line.281"></a>
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285 <FONT color="green">282</FONT> * instance row<a name="line.282"></a>
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286 <FONT color="green">283</FONT> */<a name="line.283"></a>
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|
287 <FONT color="green">284</FONT> void setRowVector(int row, RealVector vector)<a name="line.284"></a>
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288 <FONT color="green">285</FONT> throws MatrixIndexException, InvalidMatrixException;<a name="line.285"></a>
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|
289 <FONT color="green">286</FONT> <a name="line.286"></a>
|
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|
290 <FONT color="green">287</FONT> /**<a name="line.287"></a>
|
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|
291 <FONT color="green">288</FONT> * Returns the entries in column number <code>column</code><a name="line.288"></a>
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|
292 <FONT color="green">289</FONT> * as a vector. Column indices start at 0.<a name="line.289"></a>
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|
293 <FONT color="green">290</FONT> *<a name="line.290"></a>
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|
294 <FONT color="green">291</FONT> * @param column the column to be fetched<a name="line.291"></a>
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|
295 <FONT color="green">292</FONT> * @return column vector<a name="line.292"></a>
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|
296 <FONT color="green">293</FONT> * @throws MatrixIndexException if the specified column index is invalid<a name="line.293"></a>
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|
297 <FONT color="green">294</FONT> */<a name="line.294"></a>
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|
298 <FONT color="green">295</FONT> RealVector getColumnVector(int column) throws MatrixIndexException;<a name="line.295"></a>
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|
299 <FONT color="green">296</FONT> <a name="line.296"></a>
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|
300 <FONT color="green">297</FONT> /**<a name="line.297"></a>
|
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|
301 <FONT color="green">298</FONT> * Sets the entries in column number <code>column</code><a name="line.298"></a>
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|
302 <FONT color="green">299</FONT> * as a vector. Column indices start at 0.<a name="line.299"></a>
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|
303 <FONT color="green">300</FONT> *<a name="line.300"></a>
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|
304 <FONT color="green">301</FONT> * @param column the column to be set<a name="line.301"></a>
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|
305 <FONT color="green">302</FONT> * @param vector column vector (must have the same number of rows as the instance)<a name="line.302"></a>
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|
306 <FONT color="green">303</FONT> * @throws MatrixIndexException if the specified column index is invalid<a name="line.303"></a>
|
|
|
307 <FONT color="green">304</FONT> * @throws InvalidMatrixException if the vector dimension does not match one<a name="line.304"></a>
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|
308 <FONT color="green">305</FONT> * instance column<a name="line.305"></a>
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|
309 <FONT color="green">306</FONT> */<a name="line.306"></a>
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|
310 <FONT color="green">307</FONT> void setColumnVector(int column, RealVector vector)<a name="line.307"></a>
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|
311 <FONT color="green">308</FONT> throws MatrixIndexException, InvalidMatrixException;<a name="line.308"></a>
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|
312 <FONT color="green">309</FONT> <a name="line.309"></a>
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|
313 <FONT color="green">310</FONT> /**<a name="line.310"></a>
|
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|
314 <FONT color="green">311</FONT> * Returns the entries in row number <code>row</code> as an array.<a name="line.311"></a>
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|
|
315 <FONT color="green">312</FONT> * <p><a name="line.312"></a>
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|
316 <FONT color="green">313</FONT> * Row indices start at 0. A <code>MatrixIndexException</code> is thrown<a name="line.313"></a>
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|
317 <FONT color="green">314</FONT> * unless <code>0 <= row < rowDimension.</code></p><a name="line.314"></a>
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|
318 <FONT color="green">315</FONT> *<a name="line.315"></a>
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|
319 <FONT color="green">316</FONT> * @param row the row to be fetched<a name="line.316"></a>
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|
320 <FONT color="green">317</FONT> * @return array of entries in the row<a name="line.317"></a>
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|
321 <FONT color="green">318</FONT> * @throws MatrixIndexException if the specified row index is not valid<a name="line.318"></a>
|
|
|
322 <FONT color="green">319</FONT> */<a name="line.319"></a>
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|
323 <FONT color="green">320</FONT> double[] getRow(int row) throws MatrixIndexException;<a name="line.320"></a>
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|
|
324 <FONT color="green">321</FONT> <a name="line.321"></a>
|
|
|
325 <FONT color="green">322</FONT> /**<a name="line.322"></a>
|
|
|
326 <FONT color="green">323</FONT> * Sets the entries in row number <code>row</code><a name="line.323"></a>
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|
|
327 <FONT color="green">324</FONT> * as a row matrix. Row indices start at 0.<a name="line.324"></a>
|
|
|
328 <FONT color="green">325</FONT> *<a name="line.325"></a>
|
|
|
329 <FONT color="green">326</FONT> * @param row the row to be set<a name="line.326"></a>
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|
|
330 <FONT color="green">327</FONT> * @param array row matrix (must have the same number of columns as the instance)<a name="line.327"></a>
|
|
|
331 <FONT color="green">328</FONT> * @throws MatrixIndexException if the specified row index is invalid<a name="line.328"></a>
|
|
|
332 <FONT color="green">329</FONT> * @throws InvalidMatrixException if the array size does not match one<a name="line.329"></a>
|
|
|
333 <FONT color="green">330</FONT> * instance row<a name="line.330"></a>
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|
|
334 <FONT color="green">331</FONT> */<a name="line.331"></a>
|
|
|
335 <FONT color="green">332</FONT> void setRow(int row, double[] array)<a name="line.332"></a>
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|
|
336 <FONT color="green">333</FONT> throws MatrixIndexException, InvalidMatrixException;<a name="line.333"></a>
|
|
|
337 <FONT color="green">334</FONT> <a name="line.334"></a>
|
|
|
338 <FONT color="green">335</FONT> /**<a name="line.335"></a>
|
|
|
339 <FONT color="green">336</FONT> * Returns the entries in column number <code>col</code> as an array.<a name="line.336"></a>
|
|
|
340 <FONT color="green">337</FONT> * <p><a name="line.337"></a>
|
|
|
341 <FONT color="green">338</FONT> * Column indices start at 0. A <code>MatrixIndexException</code> is thrown<a name="line.338"></a>
|
|
|
342 <FONT color="green">339</FONT> * unless <code>0 <= column < columnDimension.</code></p><a name="line.339"></a>
|
|
|
343 <FONT color="green">340</FONT> *<a name="line.340"></a>
|
|
|
344 <FONT color="green">341</FONT> * @param column the column to be fetched<a name="line.341"></a>
|
|
|
345 <FONT color="green">342</FONT> * @return array of entries in the column<a name="line.342"></a>
|
|
|
346 <FONT color="green">343</FONT> * @throws MatrixIndexException if the specified column index is not valid<a name="line.343"></a>
|
|
|
347 <FONT color="green">344</FONT> */<a name="line.344"></a>
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|
|
348 <FONT color="green">345</FONT> double[] getColumn(int column) throws MatrixIndexException;<a name="line.345"></a>
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|
|
349 <FONT color="green">346</FONT> <a name="line.346"></a>
|
|
|
350 <FONT color="green">347</FONT> /**<a name="line.347"></a>
|
|
|
351 <FONT color="green">348</FONT> * Sets the entries in column number <code>column</code><a name="line.348"></a>
|
|
|
352 <FONT color="green">349</FONT> * as a column matrix. Column indices start at 0.<a name="line.349"></a>
|
|
|
353 <FONT color="green">350</FONT> *<a name="line.350"></a>
|
|
|
354 <FONT color="green">351</FONT> * @param column the column to be set<a name="line.351"></a>
|
|
|
355 <FONT color="green">352</FONT> * @param array column array (must have the same number of rows as the instance)<a name="line.352"></a>
|
|
|
356 <FONT color="green">353</FONT> * @throws MatrixIndexException if the specified column index is invalid<a name="line.353"></a>
|
|
|
357 <FONT color="green">354</FONT> * @throws InvalidMatrixException if the array size does not match one<a name="line.354"></a>
|
|
|
358 <FONT color="green">355</FONT> * instance column<a name="line.355"></a>
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|
|
359 <FONT color="green">356</FONT> */<a name="line.356"></a>
|
|
|
360 <FONT color="green">357</FONT> void setColumn(int column, double[] array)<a name="line.357"></a>
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|
|
361 <FONT color="green">358</FONT> throws MatrixIndexException, InvalidMatrixException;<a name="line.358"></a>
|
|
|
362 <FONT color="green">359</FONT> <a name="line.359"></a>
|
|
|
363 <FONT color="green">360</FONT> /**<a name="line.360"></a>
|
|
|
364 <FONT color="green">361</FONT> * Returns the entry in the specified row and column.<a name="line.361"></a>
|
|
|
365 <FONT color="green">362</FONT> * <p><a name="line.362"></a>
|
|
|
366 <FONT color="green">363</FONT> * Row and column indices start at 0 and must satisfy<a name="line.363"></a>
|
|
|
367 <FONT color="green">364</FONT> * <ul><a name="line.364"></a>
|
|
|
368 <FONT color="green">365</FONT> * <li><code>0 <= row < rowDimension</code></li><a name="line.365"></a>
|
|
|
369 <FONT color="green">366</FONT> * <li><code> 0 <= column < columnDimension</code></li><a name="line.366"></a>
|
|
|
370 <FONT color="green">367</FONT> * </ul><a name="line.367"></a>
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|
|
371 <FONT color="green">368</FONT> * otherwise a <code>MatrixIndexException</code> is thrown.</p><a name="line.368"></a>
|
|
|
372 <FONT color="green">369</FONT> *<a name="line.369"></a>
|
|
|
373 <FONT color="green">370</FONT> * @param row row location of entry to be fetched<a name="line.370"></a>
|
|
|
374 <FONT color="green">371</FONT> * @param column column location of entry to be fetched<a name="line.371"></a>
|
|
|
375 <FONT color="green">372</FONT> * @return matrix entry in row,column<a name="line.372"></a>
|
|
|
376 <FONT color="green">373</FONT> * @throws MatrixIndexException if the row or column index is not valid<a name="line.373"></a>
|
|
|
377 <FONT color="green">374</FONT> */<a name="line.374"></a>
|
|
|
378 <FONT color="green">375</FONT> double getEntry(int row, int column) throws MatrixIndexException;<a name="line.375"></a>
|
|
|
379 <FONT color="green">376</FONT> <a name="line.376"></a>
|
|
|
380 <FONT color="green">377</FONT> /**<a name="line.377"></a>
|
|
|
381 <FONT color="green">378</FONT> * Set the entry in the specified row and column.<a name="line.378"></a>
|
|
|
382 <FONT color="green">379</FONT> * <p><a name="line.379"></a>
|
|
|
383 <FONT color="green">380</FONT> * Row and column indices start at 0 and must satisfy<a name="line.380"></a>
|
|
|
384 <FONT color="green">381</FONT> * <ul><a name="line.381"></a>
|
|
|
385 <FONT color="green">382</FONT> * <li><code>0 <= row < rowDimension</code></li><a name="line.382"></a>
|
|
|
386 <FONT color="green">383</FONT> * <li><code> 0 <= column < columnDimension</code></li><a name="line.383"></a>
|
|
|
387 <FONT color="green">384</FONT> * </ul><a name="line.384"></a>
|
|
|
388 <FONT color="green">385</FONT> * otherwise a <code>MatrixIndexException</code> is thrown.</p><a name="line.385"></a>
|
|
|
389 <FONT color="green">386</FONT> *<a name="line.386"></a>
|
|
|
390 <FONT color="green">387</FONT> * @param row row location of entry to be set<a name="line.387"></a>
|
|
|
391 <FONT color="green">388</FONT> * @param column column location of entry to be set<a name="line.388"></a>
|
|
|
392 <FONT color="green">389</FONT> * @param value matrix entry to be set in row,column<a name="line.389"></a>
|
|
|
393 <FONT color="green">390</FONT> * @throws MatrixIndexException if the row or column index is not valid<a name="line.390"></a>
|
|
|
394 <FONT color="green">391</FONT> * @since 2.0<a name="line.391"></a>
|
|
|
395 <FONT color="green">392</FONT> */<a name="line.392"></a>
|
|
|
396 <FONT color="green">393</FONT> void setEntry(int row, int column, double value) throws MatrixIndexException;<a name="line.393"></a>
|
|
|
397 <FONT color="green">394</FONT> <a name="line.394"></a>
|
|
|
398 <FONT color="green">395</FONT> /**<a name="line.395"></a>
|
|
|
399 <FONT color="green">396</FONT> * Change an entry in the specified row and column.<a name="line.396"></a>
|
|
|
400 <FONT color="green">397</FONT> * <p><a name="line.397"></a>
|
|
|
401 <FONT color="green">398</FONT> * Row and column indices start at 0 and must satisfy<a name="line.398"></a>
|
|
|
402 <FONT color="green">399</FONT> * <ul><a name="line.399"></a>
|
|
|
403 <FONT color="green">400</FONT> * <li><code>0 <= row < rowDimension</code></li><a name="line.400"></a>
|
|
|
404 <FONT color="green">401</FONT> * <li><code> 0 <= column < columnDimension</code></li><a name="line.401"></a>
|
|
|
405 <FONT color="green">402</FONT> * </ul><a name="line.402"></a>
|
|
|
406 <FONT color="green">403</FONT> * otherwise a <code>MatrixIndexException</code> is thrown.</p><a name="line.403"></a>
|
|
|
407 <FONT color="green">404</FONT> *<a name="line.404"></a>
|
|
|
408 <FONT color="green">405</FONT> * @param row row location of entry to be set<a name="line.405"></a>
|
|
|
409 <FONT color="green">406</FONT> * @param column column location of entry to be set<a name="line.406"></a>
|
|
|
410 <FONT color="green">407</FONT> * @param increment value to add to the current matrix entry in row,column<a name="line.407"></a>
|
|
|
411 <FONT color="green">408</FONT> * @throws MatrixIndexException if the row or column index is not valid<a name="line.408"></a>
|
|
|
412 <FONT color="green">409</FONT> * @since 2.0<a name="line.409"></a>
|
|
|
413 <FONT color="green">410</FONT> */<a name="line.410"></a>
|
|
|
414 <FONT color="green">411</FONT> void addToEntry(int row, int column, double increment) throws MatrixIndexException;<a name="line.411"></a>
|
|
|
415 <FONT color="green">412</FONT> <a name="line.412"></a>
|
|
|
416 <FONT color="green">413</FONT> /**<a name="line.413"></a>
|
|
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417 <FONT color="green">414</FONT> * Change an entry in the specified row and column.<a name="line.414"></a>
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418 <FONT color="green">415</FONT> * <p><a name="line.415"></a>
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|
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419 <FONT color="green">416</FONT> * Row and column indices start at 0 and must satisfy<a name="line.416"></a>
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420 <FONT color="green">417</FONT> * <ul><a name="line.417"></a>
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421 <FONT color="green">418</FONT> * <li><code>0 <= row < rowDimension</code></li><a name="line.418"></a>
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422 <FONT color="green">419</FONT> * <li><code> 0 <= column < columnDimension</code></li><a name="line.419"></a>
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423 <FONT color="green">420</FONT> * </ul><a name="line.420"></a>
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424 <FONT color="green">421</FONT> * otherwise a <code>MatrixIndexException</code> is thrown.</p><a name="line.421"></a>
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425 <FONT color="green">422</FONT> *<a name="line.422"></a>
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426 <FONT color="green">423</FONT> * @param row row location of entry to be set<a name="line.423"></a>
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427 <FONT color="green">424</FONT> * @param column column location of entry to be set<a name="line.424"></a>
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428 <FONT color="green">425</FONT> * @param factor multiplication factor for the current matrix entry in row,column<a name="line.425"></a>
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429 <FONT color="green">426</FONT> * @throws MatrixIndexException if the row or column index is not valid<a name="line.426"></a>
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430 <FONT color="green">427</FONT> * @since 2.0<a name="line.427"></a>
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431 <FONT color="green">428</FONT> */<a name="line.428"></a>
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432 <FONT color="green">429</FONT> void multiplyEntry(int row, int column, double factor) throws MatrixIndexException;<a name="line.429"></a>
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|
433 <FONT color="green">430</FONT> <a name="line.430"></a>
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434 <FONT color="green">431</FONT> /**<a name="line.431"></a>
|
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|
435 <FONT color="green">432</FONT> * Returns the transpose of this matrix.<a name="line.432"></a>
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436 <FONT color="green">433</FONT> *<a name="line.433"></a>
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437 <FONT color="green">434</FONT> * @return transpose matrix<a name="line.434"></a>
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438 <FONT color="green">435</FONT> */<a name="line.435"></a>
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439 <FONT color="green">436</FONT> RealMatrix transpose();<a name="line.436"></a>
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|
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440 <FONT color="green">437</FONT> <a name="line.437"></a>
|
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|
441 <FONT color="green">438</FONT> /**<a name="line.438"></a>
|
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442 <FONT color="green">439</FONT> * Returns the inverse of this matrix.<a name="line.439"></a>
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|
443 <FONT color="green">440</FONT> *<a name="line.440"></a>
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|
444 <FONT color="green">441</FONT> * @return inverse matrix<a name="line.441"></a>
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|
445 <FONT color="green">442</FONT> * @throws InvalidMatrixException if this is not invertible<a name="line.442"></a>
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446 <FONT color="green">443</FONT> * @deprecated as of release 2.0, replaced by <code><a name="line.443"></a>
|
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447 <FONT color="green">444</FONT> * {@link LUDecompositionImpl#LUDecompositionImpl(RealMatrix)<a name="line.444"></a>
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448 <FONT color="green">445</FONT> * new LUDecompositionImpl(m)}.{@link LUDecomposition#getSolver()<a name="line.445"></a>
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449 <FONT color="green">446</FONT> * getSolver()}.{@link DecompositionSolver#getInverse()<a name="line.446"></a>
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450 <FONT color="green">447</FONT> * getInverse()}</code><a name="line.447"></a>
|
|
|
451 <FONT color="green">448</FONT> */<a name="line.448"></a>
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452 <FONT color="green">449</FONT> @Deprecated<a name="line.449"></a>
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453 <FONT color="green">450</FONT> RealMatrix inverse() throws InvalidMatrixException;<a name="line.450"></a>
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|
454 <FONT color="green">451</FONT> <a name="line.451"></a>
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455 <FONT color="green">452</FONT> /**<a name="line.452"></a>
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|
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456 <FONT color="green">453</FONT> * Returns the determinant of this matrix.<a name="line.453"></a>
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457 <FONT color="green">454</FONT> *<a name="line.454"></a>
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|
458 <FONT color="green">455</FONT> * @return determinant<a name="line.455"></a>
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459 <FONT color="green">456</FONT> * @deprecated as of release 2.0, replaced by <code><a name="line.456"></a>
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|
460 <FONT color="green">457</FONT> * {@link LUDecompositionImpl#LUDecompositionImpl(RealMatrix)<a name="line.457"></a>
|
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|
461 <FONT color="green">458</FONT> * new LUDecompositionImpl(m)}.{@link LUDecomposition#getDeterminant()<a name="line.458"></a>
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462 <FONT color="green">459</FONT> * getDeterminant()}</code><a name="line.459"></a>
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463 <FONT color="green">460</FONT> */<a name="line.460"></a>
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464 <FONT color="green">461</FONT> @Deprecated<a name="line.461"></a>
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465 <FONT color="green">462</FONT> double getDeterminant();<a name="line.462"></a>
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466 <FONT color="green">463</FONT> <a name="line.463"></a>
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467 <FONT color="green">464</FONT> /**<a name="line.464"></a>
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468 <FONT color="green">465</FONT> * Is this a singular matrix?<a name="line.465"></a>
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|
469 <FONT color="green">466</FONT> * @return true if the matrix is singular<a name="line.466"></a>
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|
|
470 <FONT color="green">467</FONT> * @deprecated as of release 2.0, replaced by the boolean negation of<a name="line.467"></a>
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|
471 <FONT color="green">468</FONT> * <code>{@link LUDecompositionImpl#LUDecompositionImpl(RealMatrix)<a name="line.468"></a>
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|
472 <FONT color="green">469</FONT> * new LUDecompositionImpl(m)}.{@link LUDecomposition#getSolver()<a name="line.469"></a>
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|
473 <FONT color="green">470</FONT> * getSolver()}.{@link DecompositionSolver#isNonSingular()<a name="line.470"></a>
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|
474 <FONT color="green">471</FONT> * isNonSingular()}</code><a name="line.471"></a>
|
|
|
475 <FONT color="green">472</FONT> */<a name="line.472"></a>
|
|
|
476 <FONT color="green">473</FONT> @Deprecated<a name="line.473"></a>
|
|
|
477 <FONT color="green">474</FONT> boolean isSingular();<a name="line.474"></a>
|
|
|
478 <FONT color="green">475</FONT> <a name="line.475"></a>
|
|
|
479 <FONT color="green">476</FONT> /**<a name="line.476"></a>
|
|
|
480 <FONT color="green">477</FONT> * Returns the <a href="http://mathworld.wolfram.com/MatrixTrace.html"><a name="line.477"></a>
|
|
|
481 <FONT color="green">478</FONT> * trace</a> of the matrix (the sum of the elements on the main diagonal).<a name="line.478"></a>
|
|
|
482 <FONT color="green">479</FONT> *<a name="line.479"></a>
|
|
|
483 <FONT color="green">480</FONT> * @return trace<a name="line.480"></a>
|
|
|
484 <FONT color="green">481</FONT> * @throws NonSquareMatrixException if the matrix is not square<a name="line.481"></a>
|
|
|
485 <FONT color="green">482</FONT> */<a name="line.482"></a>
|
|
|
486 <FONT color="green">483</FONT> double getTrace() throws NonSquareMatrixException;<a name="line.483"></a>
|
|
|
487 <FONT color="green">484</FONT> <a name="line.484"></a>
|
|
|
488 <FONT color="green">485</FONT> /**<a name="line.485"></a>
|
|
|
489 <FONT color="green">486</FONT> * Returns the result of multiplying this by the vector <code>v</code>.<a name="line.486"></a>
|
|
|
490 <FONT color="green">487</FONT> *<a name="line.487"></a>
|
|
|
491 <FONT color="green">488</FONT> * @param v the vector to operate on<a name="line.488"></a>
|
|
|
492 <FONT color="green">489</FONT> * @return this*v<a name="line.489"></a>
|
|
|
493 <FONT color="green">490</FONT> * @throws IllegalArgumentException if columnDimension != v.size()<a name="line.490"></a>
|
|
|
494 <FONT color="green">491</FONT> */<a name="line.491"></a>
|
|
|
495 <FONT color="green">492</FONT> double[] operate(double[] v) throws IllegalArgumentException;<a name="line.492"></a>
|
|
|
496 <FONT color="green">493</FONT> <a name="line.493"></a>
|
|
|
497 <FONT color="green">494</FONT> /**<a name="line.494"></a>
|
|
|
498 <FONT color="green">495</FONT> * Returns the result of multiplying this by the vector <code>v</code>.<a name="line.495"></a>
|
|
|
499 <FONT color="green">496</FONT> *<a name="line.496"></a>
|
|
|
500 <FONT color="green">497</FONT> * @param v the vector to operate on<a name="line.497"></a>
|
|
|
501 <FONT color="green">498</FONT> * @return this*v<a name="line.498"></a>
|
|
|
502 <FONT color="green">499</FONT> * @throws IllegalArgumentException if columnDimension != v.size()<a name="line.499"></a>
|
|
|
503 <FONT color="green">500</FONT> */<a name="line.500"></a>
|
|
|
504 <FONT color="green">501</FONT> RealVector operate(RealVector v) throws IllegalArgumentException;<a name="line.501"></a>
|
|
|
505 <FONT color="green">502</FONT> <a name="line.502"></a>
|
|
|
506 <FONT color="green">503</FONT> /**<a name="line.503"></a>
|
|
|
507 <FONT color="green">504</FONT> * Returns the (row) vector result of premultiplying this by the vector <code>v</code>.<a name="line.504"></a>
|
|
|
508 <FONT color="green">505</FONT> *<a name="line.505"></a>
|
|
|
509 <FONT color="green">506</FONT> * @param v the row vector to premultiply by<a name="line.506"></a>
|
|
|
510 <FONT color="green">507</FONT> * @return v*this<a name="line.507"></a>
|
|
|
511 <FONT color="green">508</FONT> * @throws IllegalArgumentException if rowDimension != v.size()<a name="line.508"></a>
|
|
|
512 <FONT color="green">509</FONT> */<a name="line.509"></a>
|
|
|
513 <FONT color="green">510</FONT> double[] preMultiply(double[] v) throws IllegalArgumentException;<a name="line.510"></a>
|
|
|
514 <FONT color="green">511</FONT> <a name="line.511"></a>
|
|
|
515 <FONT color="green">512</FONT> /**<a name="line.512"></a>
|
|
|
516 <FONT color="green">513</FONT> * Returns the (row) vector result of premultiplying this by the vector <code>v</code>.<a name="line.513"></a>
|
|
|
517 <FONT color="green">514</FONT> *<a name="line.514"></a>
|
|
|
518 <FONT color="green">515</FONT> * @param v the row vector to premultiply by<a name="line.515"></a>
|
|
|
519 <FONT color="green">516</FONT> * @return v*this<a name="line.516"></a>
|
|
|
520 <FONT color="green">517</FONT> * @throws IllegalArgumentException if rowDimension != v.size()<a name="line.517"></a>
|
|
|
521 <FONT color="green">518</FONT> */<a name="line.518"></a>
|
|
|
522 <FONT color="green">519</FONT> RealVector preMultiply(RealVector v) throws IllegalArgumentException;<a name="line.519"></a>
|
|
|
523 <FONT color="green">520</FONT> <a name="line.520"></a>
|
|
|
524 <FONT color="green">521</FONT> /**<a name="line.521"></a>
|
|
|
525 <FONT color="green">522</FONT> * Visit (and possibly change) all matrix entries in row order.<a name="line.522"></a>
|
|
|
526 <FONT color="green">523</FONT> * <p>Row order starts at upper left and iterating through all elements<a name="line.523"></a>
|
|
|
527 <FONT color="green">524</FONT> * of a row from left to right before going to the leftmost element<a name="line.524"></a>
|
|
|
528 <FONT color="green">525</FONT> * of the next row.</p><a name="line.525"></a>
|
|
|
529 <FONT color="green">526</FONT> * @param visitor visitor used to process all matrix entries<a name="line.526"></a>
|
|
|
530 <FONT color="green">527</FONT> * @exception MatrixVisitorException if the visitor cannot process an entry<a name="line.527"></a>
|
|
|
531 <FONT color="green">528</FONT> * @see #walkInRowOrder(RealMatrixPreservingVisitor)<a name="line.528"></a>
|
|
|
532 <FONT color="green">529</FONT> * @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.529"></a>
|
|
|
533 <FONT color="green">530</FONT> * @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.530"></a>
|
|
|
534 <FONT color="green">531</FONT> * @see #walkInColumnOrder(RealMatrixChangingVisitor)<a name="line.531"></a>
|
|
|
535 <FONT color="green">532</FONT> * @see #walkInColumnOrder(RealMatrixPreservingVisitor)<a name="line.532"></a>
|
|
|
536 <FONT color="green">533</FONT> * @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.533"></a>
|
|
|
537 <FONT color="green">534</FONT> * @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.534"></a>
|
|
|
538 <FONT color="green">535</FONT> * @see #walkInOptimizedOrder(RealMatrixChangingVisitor)<a name="line.535"></a>
|
|
|
539 <FONT color="green">536</FONT> * @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)<a name="line.536"></a>
|
|
|
540 <FONT color="green">537</FONT> * @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.537"></a>
|
|
|
541 <FONT color="green">538</FONT> * @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.538"></a>
|
|
|
542 <FONT color="green">539</FONT> * @return the value returned by {@link RealMatrixChangingVisitor#end()} at the end<a name="line.539"></a>
|
|
|
543 <FONT color="green">540</FONT> * of the walk<a name="line.540"></a>
|
|
|
544 <FONT color="green">541</FONT> */<a name="line.541"></a>
|
|
|
545 <FONT color="green">542</FONT> double walkInRowOrder(RealMatrixChangingVisitor visitor)<a name="line.542"></a>
|
|
|
546 <FONT color="green">543</FONT> throws MatrixVisitorException;<a name="line.543"></a>
|
|
|
547 <FONT color="green">544</FONT> <a name="line.544"></a>
|
|
|
548 <FONT color="green">545</FONT> /**<a name="line.545"></a>
|
|
|
549 <FONT color="green">546</FONT> * Visit (but don't change) all matrix entries in row order.<a name="line.546"></a>
|
|
|
550 <FONT color="green">547</FONT> * <p>Row order starts at upper left and iterating through all elements<a name="line.547"></a>
|
|
|
551 <FONT color="green">548</FONT> * of a row from left to right before going to the leftmost element<a name="line.548"></a>
|
|
|
552 <FONT color="green">549</FONT> * of the next row.</p><a name="line.549"></a>
|
|
|
553 <FONT color="green">550</FONT> * @param visitor visitor used to process all matrix entries<a name="line.550"></a>
|
|
|
554 <FONT color="green">551</FONT> * @exception MatrixVisitorException if the visitor cannot process an entry<a name="line.551"></a>
|
|
|
555 <FONT color="green">552</FONT> * @see #walkInRowOrder(RealMatrixChangingVisitor)<a name="line.552"></a>
|
|
|
556 <FONT color="green">553</FONT> * @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.553"></a>
|
|
|
557 <FONT color="green">554</FONT> * @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.554"></a>
|
|
|
558 <FONT color="green">555</FONT> * @see #walkInColumnOrder(RealMatrixChangingVisitor)<a name="line.555"></a>
|
|
|
559 <FONT color="green">556</FONT> * @see #walkInColumnOrder(RealMatrixPreservingVisitor)<a name="line.556"></a>
|
|
|
560 <FONT color="green">557</FONT> * @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.557"></a>
|
|
|
561 <FONT color="green">558</FONT> * @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.558"></a>
|
|
|
562 <FONT color="green">559</FONT> * @see #walkInOptimizedOrder(RealMatrixChangingVisitor)<a name="line.559"></a>
|
|
|
563 <FONT color="green">560</FONT> * @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)<a name="line.560"></a>
|
|
|
564 <FONT color="green">561</FONT> * @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.561"></a>
|
|
|
565 <FONT color="green">562</FONT> * @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.562"></a>
|
|
|
566 <FONT color="green">563</FONT> * @return the value returned by {@link RealMatrixPreservingVisitor#end()} at the end<a name="line.563"></a>
|
|
|
567 <FONT color="green">564</FONT> * of the walk<a name="line.564"></a>
|
|
|
568 <FONT color="green">565</FONT> */<a name="line.565"></a>
|
|
|
569 <FONT color="green">566</FONT> double walkInRowOrder(RealMatrixPreservingVisitor visitor)<a name="line.566"></a>
|
|
|
570 <FONT color="green">567</FONT> throws MatrixVisitorException;<a name="line.567"></a>
|
|
|
571 <FONT color="green">568</FONT> <a name="line.568"></a>
|
|
|
572 <FONT color="green">569</FONT> /**<a name="line.569"></a>
|
|
|
573 <FONT color="green">570</FONT> * Visit (and possibly change) some matrix entries in row order.<a name="line.570"></a>
|
|
|
574 <FONT color="green">571</FONT> * <p>Row order starts at upper left and iterating through all elements<a name="line.571"></a>
|
|
|
575 <FONT color="green">572</FONT> * of a row from left to right before going to the leftmost element<a name="line.572"></a>
|
|
|
576 <FONT color="green">573</FONT> * of the next row.</p><a name="line.573"></a>
|
|
|
577 <FONT color="green">574</FONT> * @param visitor visitor used to process all matrix entries<a name="line.574"></a>
|
|
|
578 <FONT color="green">575</FONT> * @param startRow Initial row index<a name="line.575"></a>
|
|
|
579 <FONT color="green">576</FONT> * @param endRow Final row index (inclusive)<a name="line.576"></a>
|
|
|
580 <FONT color="green">577</FONT> * @param startColumn Initial column index<a name="line.577"></a>
|
|
|
581 <FONT color="green">578</FONT> * @param endColumn Final column index<a name="line.578"></a>
|
|
|
582 <FONT color="green">579</FONT> * @exception MatrixVisitorException if the visitor cannot process an entry<a name="line.579"></a>
|
|
|
583 <FONT color="green">580</FONT> * @exception MatrixIndexException if the indices are not valid<a name="line.580"></a>
|
|
|
584 <FONT color="green">581</FONT> * @see #walkInRowOrder(RealMatrixChangingVisitor)<a name="line.581"></a>
|
|
|
585 <FONT color="green">582</FONT> * @see #walkInRowOrder(RealMatrixPreservingVisitor)<a name="line.582"></a>
|
|
|
586 <FONT color="green">583</FONT> * @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.583"></a>
|
|
|
587 <FONT color="green">584</FONT> * @see #walkInColumnOrder(RealMatrixChangingVisitor)<a name="line.584"></a>
|
|
|
588 <FONT color="green">585</FONT> * @see #walkInColumnOrder(RealMatrixPreservingVisitor)<a name="line.585"></a>
|
|
|
589 <FONT color="green">586</FONT> * @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.586"></a>
|
|
|
590 <FONT color="green">587</FONT> * @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.587"></a>
|
|
|
591 <FONT color="green">588</FONT> * @see #walkInOptimizedOrder(RealMatrixChangingVisitor)<a name="line.588"></a>
|
|
|
592 <FONT color="green">589</FONT> * @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)<a name="line.589"></a>
|
|
|
593 <FONT color="green">590</FONT> * @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.590"></a>
|
|
|
594 <FONT color="green">591</FONT> * @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.591"></a>
|
|
|
595 <FONT color="green">592</FONT> * @return the value returned by {@link RealMatrixChangingVisitor#end()} at the end<a name="line.592"></a>
|
|
|
596 <FONT color="green">593</FONT> * of the walk<a name="line.593"></a>
|
|
|
597 <FONT color="green">594</FONT> */<a name="line.594"></a>
|
|
|
598 <FONT color="green">595</FONT> double walkInRowOrder(RealMatrixChangingVisitor visitor,<a name="line.595"></a>
|
|
|
599 <FONT color="green">596</FONT> int startRow, int endRow, int startColumn, int endColumn)<a name="line.596"></a>
|
|
|
600 <FONT color="green">597</FONT> throws MatrixIndexException, MatrixVisitorException;<a name="line.597"></a>
|
|
|
601 <FONT color="green">598</FONT> <a name="line.598"></a>
|
|
|
602 <FONT color="green">599</FONT> /**<a name="line.599"></a>
|
|
|
603 <FONT color="green">600</FONT> * Visit (but don't change) some matrix entries in row order.<a name="line.600"></a>
|
|
|
604 <FONT color="green">601</FONT> * <p>Row order starts at upper left and iterating through all elements<a name="line.601"></a>
|
|
|
605 <FONT color="green">602</FONT> * of a row from left to right before going to the leftmost element<a name="line.602"></a>
|
|
|
606 <FONT color="green">603</FONT> * of the next row.</p><a name="line.603"></a>
|
|
|
607 <FONT color="green">604</FONT> * @param visitor visitor used to process all matrix entries<a name="line.604"></a>
|
|
|
608 <FONT color="green">605</FONT> * @param startRow Initial row index<a name="line.605"></a>
|
|
|
609 <FONT color="green">606</FONT> * @param endRow Final row index (inclusive)<a name="line.606"></a>
|
|
|
610 <FONT color="green">607</FONT> * @param startColumn Initial column index<a name="line.607"></a>
|
|
|
611 <FONT color="green">608</FONT> * @param endColumn Final column index<a name="line.608"></a>
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612 <FONT color="green">609</FONT> * @exception MatrixVisitorException if the visitor cannot process an entry<a name="line.609"></a>
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613 <FONT color="green">610</FONT> * @exception MatrixIndexException if the indices are not valid<a name="line.610"></a>
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614 <FONT color="green">611</FONT> * @see #walkInRowOrder(RealMatrixChangingVisitor)<a name="line.611"></a>
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615 <FONT color="green">612</FONT> * @see #walkInRowOrder(RealMatrixPreservingVisitor)<a name="line.612"></a>
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616 <FONT color="green">613</FONT> * @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.613"></a>
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617 <FONT color="green">614</FONT> * @see #walkInColumnOrder(RealMatrixChangingVisitor)<a name="line.614"></a>
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618 <FONT color="green">615</FONT> * @see #walkInColumnOrder(RealMatrixPreservingVisitor)<a name="line.615"></a>
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619 <FONT color="green">616</FONT> * @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.616"></a>
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620 <FONT color="green">617</FONT> * @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.617"></a>
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621 <FONT color="green">618</FONT> * @see #walkInOptimizedOrder(RealMatrixChangingVisitor)<a name="line.618"></a>
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622 <FONT color="green">619</FONT> * @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)<a name="line.619"></a>
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623 <FONT color="green">620</FONT> * @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.620"></a>
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624 <FONT color="green">621</FONT> * @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.621"></a>
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625 <FONT color="green">622</FONT> * @return the value returned by {@link RealMatrixPreservingVisitor#end()} at the end<a name="line.622"></a>
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626 <FONT color="green">623</FONT> * of the walk<a name="line.623"></a>
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627 <FONT color="green">624</FONT> */<a name="line.624"></a>
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628 <FONT color="green">625</FONT> double walkInRowOrder(RealMatrixPreservingVisitor visitor,<a name="line.625"></a>
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629 <FONT color="green">626</FONT> int startRow, int endRow, int startColumn, int endColumn)<a name="line.626"></a>
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630 <FONT color="green">627</FONT> throws MatrixIndexException, MatrixVisitorException;<a name="line.627"></a>
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631 <FONT color="green">628</FONT> <a name="line.628"></a>
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632 <FONT color="green">629</FONT> /**<a name="line.629"></a>
|
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633 <FONT color="green">630</FONT> * Visit (and possibly change) all matrix entries in column order.<a name="line.630"></a>
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634 <FONT color="green">631</FONT> * <p>Column order starts at upper left and iterating through all elements<a name="line.631"></a>
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635 <FONT color="green">632</FONT> * of a column from top to bottom before going to the topmost element<a name="line.632"></a>
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636 <FONT color="green">633</FONT> * of the next column.</p><a name="line.633"></a>
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|
637 <FONT color="green">634</FONT> * @param visitor visitor used to process all matrix entries<a name="line.634"></a>
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|
638 <FONT color="green">635</FONT> * @exception MatrixVisitorException if the visitor cannot process an entry<a name="line.635"></a>
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639 <FONT color="green">636</FONT> * @see #walkInRowOrder(RealMatrixChangingVisitor)<a name="line.636"></a>
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640 <FONT color="green">637</FONT> * @see #walkInRowOrder(RealMatrixPreservingVisitor)<a name="line.637"></a>
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641 <FONT color="green">638</FONT> * @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.638"></a>
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642 <FONT color="green">639</FONT> * @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.639"></a>
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643 <FONT color="green">640</FONT> * @see #walkInColumnOrder(RealMatrixPreservingVisitor)<a name="line.640"></a>
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|
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644 <FONT color="green">641</FONT> * @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.641"></a>
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|
645 <FONT color="green">642</FONT> * @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.642"></a>
|
|
|
646 <FONT color="green">643</FONT> * @see #walkInOptimizedOrder(RealMatrixChangingVisitor)<a name="line.643"></a>
|
|
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647 <FONT color="green">644</FONT> * @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)<a name="line.644"></a>
|
|
|
648 <FONT color="green">645</FONT> * @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.645"></a>
|
|
|
649 <FONT color="green">646</FONT> * @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.646"></a>
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|
650 <FONT color="green">647</FONT> * @return the value returned by {@link RealMatrixChangingVisitor#end()} at the end<a name="line.647"></a>
|
|
|
651 <FONT color="green">648</FONT> * of the walk<a name="line.648"></a>
|
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652 <FONT color="green">649</FONT> */<a name="line.649"></a>
|
|
|
653 <FONT color="green">650</FONT> double walkInColumnOrder(RealMatrixChangingVisitor visitor)<a name="line.650"></a>
|
|
|
654 <FONT color="green">651</FONT> throws MatrixVisitorException;<a name="line.651"></a>
|
|
|
655 <FONT color="green">652</FONT> <a name="line.652"></a>
|
|
|
656 <FONT color="green">653</FONT> /**<a name="line.653"></a>
|
|
|
657 <FONT color="green">654</FONT> * Visit (but don't change) all matrix entries in column order.<a name="line.654"></a>
|
|
|
658 <FONT color="green">655</FONT> * <p>Column order starts at upper left and iterating through all elements<a name="line.655"></a>
|
|
|
659 <FONT color="green">656</FONT> * of a column from top to bottom before going to the topmost element<a name="line.656"></a>
|
|
|
660 <FONT color="green">657</FONT> * of the next column.</p><a name="line.657"></a>
|
|
|
661 <FONT color="green">658</FONT> * @param visitor visitor used to process all matrix entries<a name="line.658"></a>
|
|
|
662 <FONT color="green">659</FONT> * @exception MatrixVisitorException if the visitor cannot process an entry<a name="line.659"></a>
|
|
|
663 <FONT color="green">660</FONT> * @see #walkInRowOrder(RealMatrixChangingVisitor)<a name="line.660"></a>
|
|
|
664 <FONT color="green">661</FONT> * @see #walkInRowOrder(RealMatrixPreservingVisitor)<a name="line.661"></a>
|
|
|
665 <FONT color="green">662</FONT> * @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.662"></a>
|
|
|
666 <FONT color="green">663</FONT> * @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.663"></a>
|
|
|
667 <FONT color="green">664</FONT> * @see #walkInColumnOrder(RealMatrixChangingVisitor)<a name="line.664"></a>
|
|
|
668 <FONT color="green">665</FONT> * @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.665"></a>
|
|
|
669 <FONT color="green">666</FONT> * @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.666"></a>
|
|
|
670 <FONT color="green">667</FONT> * @see #walkInOptimizedOrder(RealMatrixChangingVisitor)<a name="line.667"></a>
|
|
|
671 <FONT color="green">668</FONT> * @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)<a name="line.668"></a>
|
|
|
672 <FONT color="green">669</FONT> * @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.669"></a>
|
|
|
673 <FONT color="green">670</FONT> * @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.670"></a>
|
|
|
674 <FONT color="green">671</FONT> * @return the value returned by {@link RealMatrixPreservingVisitor#end()} at the end<a name="line.671"></a>
|
|
|
675 <FONT color="green">672</FONT> * of the walk<a name="line.672"></a>
|
|
|
676 <FONT color="green">673</FONT> */<a name="line.673"></a>
|
|
|
677 <FONT color="green">674</FONT> double walkInColumnOrder(RealMatrixPreservingVisitor visitor)<a name="line.674"></a>
|
|
|
678 <FONT color="green">675</FONT> throws MatrixVisitorException;<a name="line.675"></a>
|
|
|
679 <FONT color="green">676</FONT> <a name="line.676"></a>
|
|
|
680 <FONT color="green">677</FONT> /**<a name="line.677"></a>
|
|
|
681 <FONT color="green">678</FONT> * Visit (and possibly change) some matrix entries in column order.<a name="line.678"></a>
|
|
|
682 <FONT color="green">679</FONT> * <p>Column order starts at upper left and iterating through all elements<a name="line.679"></a>
|
|
|
683 <FONT color="green">680</FONT> * of a column from top to bottom before going to the topmost element<a name="line.680"></a>
|
|
|
684 <FONT color="green">681</FONT> * of the next column.</p><a name="line.681"></a>
|
|
|
685 <FONT color="green">682</FONT> * @param visitor visitor used to process all matrix entries<a name="line.682"></a>
|
|
|
686 <FONT color="green">683</FONT> * @param startRow Initial row index<a name="line.683"></a>
|
|
|
687 <FONT color="green">684</FONT> * @param endRow Final row index (inclusive)<a name="line.684"></a>
|
|
|
688 <FONT color="green">685</FONT> * @param startColumn Initial column index<a name="line.685"></a>
|
|
|
689 <FONT color="green">686</FONT> * @param endColumn Final column index<a name="line.686"></a>
|
|
|
690 <FONT color="green">687</FONT> * @exception MatrixVisitorException if the visitor cannot process an entry<a name="line.687"></a>
|
|
|
691 <FONT color="green">688</FONT> * @exception MatrixIndexException if the indices are not valid<a name="line.688"></a>
|
|
|
692 <FONT color="green">689</FONT> * @see #walkInRowOrder(RealMatrixChangingVisitor)<a name="line.689"></a>
|
|
|
693 <FONT color="green">690</FONT> * @see #walkInRowOrder(RealMatrixPreservingVisitor)<a name="line.690"></a>
|
|
|
694 <FONT color="green">691</FONT> * @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.691"></a>
|
|
|
695 <FONT color="green">692</FONT> * @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.692"></a>
|
|
|
696 <FONT color="green">693</FONT> * @see #walkInColumnOrder(RealMatrixChangingVisitor)<a name="line.693"></a>
|
|
|
697 <FONT color="green">694</FONT> * @see #walkInColumnOrder(RealMatrixPreservingVisitor)<a name="line.694"></a>
|
|
|
698 <FONT color="green">695</FONT> * @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.695"></a>
|
|
|
699 <FONT color="green">696</FONT> * @see #walkInOptimizedOrder(RealMatrixChangingVisitor)<a name="line.696"></a>
|
|
|
700 <FONT color="green">697</FONT> * @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)<a name="line.697"></a>
|
|
|
701 <FONT color="green">698</FONT> * @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.698"></a>
|
|
|
702 <FONT color="green">699</FONT> * @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.699"></a>
|
|
|
703 <FONT color="green">700</FONT> * @return the value returned by {@link RealMatrixChangingVisitor#end()} at the end<a name="line.700"></a>
|
|
|
704 <FONT color="green">701</FONT> * of the walk<a name="line.701"></a>
|
|
|
705 <FONT color="green">702</FONT> */<a name="line.702"></a>
|
|
|
706 <FONT color="green">703</FONT> double walkInColumnOrder(RealMatrixChangingVisitor visitor,<a name="line.703"></a>
|
|
|
707 <FONT color="green">704</FONT> int startRow, int endRow, int startColumn, int endColumn)<a name="line.704"></a>
|
|
|
708 <FONT color="green">705</FONT> throws MatrixIndexException, MatrixVisitorException;<a name="line.705"></a>
|
|
|
709 <FONT color="green">706</FONT> <a name="line.706"></a>
|
|
|
710 <FONT color="green">707</FONT> /**<a name="line.707"></a>
|
|
|
711 <FONT color="green">708</FONT> * Visit (but don't change) some matrix entries in column order.<a name="line.708"></a>
|
|
|
712 <FONT color="green">709</FONT> * <p>Column order starts at upper left and iterating through all elements<a name="line.709"></a>
|
|
|
713 <FONT color="green">710</FONT> * of a column from top to bottom before going to the topmost element<a name="line.710"></a>
|
|
|
714 <FONT color="green">711</FONT> * of the next column.</p><a name="line.711"></a>
|
|
|
715 <FONT color="green">712</FONT> * @param visitor visitor used to process all matrix entries<a name="line.712"></a>
|
|
|
716 <FONT color="green">713</FONT> * @param startRow Initial row index<a name="line.713"></a>
|
|
|
717 <FONT color="green">714</FONT> * @param endRow Final row index (inclusive)<a name="line.714"></a>
|
|
|
718 <FONT color="green">715</FONT> * @param startColumn Initial column index<a name="line.715"></a>
|
|
|
719 <FONT color="green">716</FONT> * @param endColumn Final column index<a name="line.716"></a>
|
|
|
720 <FONT color="green">717</FONT> * @exception MatrixVisitorException if the visitor cannot process an entry<a name="line.717"></a>
|
|
|
721 <FONT color="green">718</FONT> * @exception MatrixIndexException if the indices are not valid<a name="line.718"></a>
|
|
|
722 <FONT color="green">719</FONT> * @see #walkInRowOrder(RealMatrixChangingVisitor)<a name="line.719"></a>
|
|
|
723 <FONT color="green">720</FONT> * @see #walkInRowOrder(RealMatrixPreservingVisitor)<a name="line.720"></a>
|
|
|
724 <FONT color="green">721</FONT> * @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.721"></a>
|
|
|
725 <FONT color="green">722</FONT> * @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.722"></a>
|
|
|
726 <FONT color="green">723</FONT> * @see #walkInColumnOrder(RealMatrixChangingVisitor)<a name="line.723"></a>
|
|
|
727 <FONT color="green">724</FONT> * @see #walkInColumnOrder(RealMatrixPreservingVisitor)<a name="line.724"></a>
|
|
|
728 <FONT color="green">725</FONT> * @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.725"></a>
|
|
|
729 <FONT color="green">726</FONT> * @see #walkInOptimizedOrder(RealMatrixChangingVisitor)<a name="line.726"></a>
|
|
|
730 <FONT color="green">727</FONT> * @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)<a name="line.727"></a>
|
|
|
731 <FONT color="green">728</FONT> * @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.728"></a>
|
|
|
732 <FONT color="green">729</FONT> * @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.729"></a>
|
|
|
733 <FONT color="green">730</FONT> * @return the value returned by {@link RealMatrixPreservingVisitor#end()} at the end<a name="line.730"></a>
|
|
|
734 <FONT color="green">731</FONT> * of the walk<a name="line.731"></a>
|
|
|
735 <FONT color="green">732</FONT> */<a name="line.732"></a>
|
|
|
736 <FONT color="green">733</FONT> double walkInColumnOrder(RealMatrixPreservingVisitor visitor,<a name="line.733"></a>
|
|
|
737 <FONT color="green">734</FONT> int startRow, int endRow, int startColumn, int endColumn)<a name="line.734"></a>
|
|
|
738 <FONT color="green">735</FONT> throws MatrixIndexException, MatrixVisitorException;<a name="line.735"></a>
|
|
|
739 <FONT color="green">736</FONT> <a name="line.736"></a>
|
|
|
740 <FONT color="green">737</FONT> /**<a name="line.737"></a>
|
|
|
741 <FONT color="green">738</FONT> * Visit (and possibly change) all matrix entries using the fastest possible order.<a name="line.738"></a>
|
|
|
742 <FONT color="green">739</FONT> * <p>The fastest walking order depends on the exact matrix class. It may be<a name="line.739"></a>
|
|
|
743 <FONT color="green">740</FONT> * different from traditional row or column orders.</p><a name="line.740"></a>
|
|
|
744 <FONT color="green">741</FONT> * @param visitor visitor used to process all matrix entries<a name="line.741"></a>
|
|
|
745 <FONT color="green">742</FONT> * @exception MatrixVisitorException if the visitor cannot process an entry<a name="line.742"></a>
|
|
|
746 <FONT color="green">743</FONT> * @see #walkInRowOrder(RealMatrixChangingVisitor)<a name="line.743"></a>
|
|
|
747 <FONT color="green">744</FONT> * @see #walkInRowOrder(RealMatrixPreservingVisitor)<a name="line.744"></a>
|
|
|
748 <FONT color="green">745</FONT> * @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.745"></a>
|
|
|
749 <FONT color="green">746</FONT> * @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.746"></a>
|
|
|
750 <FONT color="green">747</FONT> * @see #walkInColumnOrder(RealMatrixChangingVisitor)<a name="line.747"></a>
|
|
|
751 <FONT color="green">748</FONT> * @see #walkInColumnOrder(RealMatrixPreservingVisitor)<a name="line.748"></a>
|
|
|
752 <FONT color="green">749</FONT> * @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.749"></a>
|
|
|
753 <FONT color="green">750</FONT> * @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.750"></a>
|
|
|
754 <FONT color="green">751</FONT> * @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)<a name="line.751"></a>
|
|
|
755 <FONT color="green">752</FONT> * @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.752"></a>
|
|
|
756 <FONT color="green">753</FONT> * @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.753"></a>
|
|
|
757 <FONT color="green">754</FONT> * @return the value returned by {@link RealMatrixChangingVisitor#end()} at the end<a name="line.754"></a>
|
|
|
758 <FONT color="green">755</FONT> * of the walk<a name="line.755"></a>
|
|
|
759 <FONT color="green">756</FONT> */<a name="line.756"></a>
|
|
|
760 <FONT color="green">757</FONT> double walkInOptimizedOrder(RealMatrixChangingVisitor visitor)<a name="line.757"></a>
|
|
|
761 <FONT color="green">758</FONT> throws MatrixVisitorException;<a name="line.758"></a>
|
|
|
762 <FONT color="green">759</FONT> <a name="line.759"></a>
|
|
|
763 <FONT color="green">760</FONT> /**<a name="line.760"></a>
|
|
|
764 <FONT color="green">761</FONT> * Visit (but don't change) all matrix entries using the fastest possible order.<a name="line.761"></a>
|
|
|
765 <FONT color="green">762</FONT> * <p>The fastest walking order depends on the exact matrix class. It may be<a name="line.762"></a>
|
|
|
766 <FONT color="green">763</FONT> * different from traditional row or column orders.</p><a name="line.763"></a>
|
|
|
767 <FONT color="green">764</FONT> * @param visitor visitor used to process all matrix entries<a name="line.764"></a>
|
|
|
768 <FONT color="green">765</FONT> * @exception MatrixVisitorException if the visitor cannot process an entry<a name="line.765"></a>
|
|
|
769 <FONT color="green">766</FONT> * @see #walkInRowOrder(RealMatrixChangingVisitor)<a name="line.766"></a>
|
|
|
770 <FONT color="green">767</FONT> * @see #walkInRowOrder(RealMatrixPreservingVisitor)<a name="line.767"></a>
|
|
|
771 <FONT color="green">768</FONT> * @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.768"></a>
|
|
|
772 <FONT color="green">769</FONT> * @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.769"></a>
|
|
|
773 <FONT color="green">770</FONT> * @see #walkInColumnOrder(RealMatrixChangingVisitor)<a name="line.770"></a>
|
|
|
774 <FONT color="green">771</FONT> * @see #walkInColumnOrder(RealMatrixPreservingVisitor)<a name="line.771"></a>
|
|
|
775 <FONT color="green">772</FONT> * @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.772"></a>
|
|
|
776 <FONT color="green">773</FONT> * @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.773"></a>
|
|
|
777 <FONT color="green">774</FONT> * @see #walkInOptimizedOrder(RealMatrixChangingVisitor)<a name="line.774"></a>
|
|
|
778 <FONT color="green">775</FONT> * @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.775"></a>
|
|
|
779 <FONT color="green">776</FONT> * @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.776"></a>
|
|
|
780 <FONT color="green">777</FONT> * @return the value returned by {@link RealMatrixPreservingVisitor#end()} at the end<a name="line.777"></a>
|
|
|
781 <FONT color="green">778</FONT> * of the walk<a name="line.778"></a>
|
|
|
782 <FONT color="green">779</FONT> */<a name="line.779"></a>
|
|
|
783 <FONT color="green">780</FONT> double walkInOptimizedOrder(RealMatrixPreservingVisitor visitor)<a name="line.780"></a>
|
|
|
784 <FONT color="green">781</FONT> throws MatrixVisitorException;<a name="line.781"></a>
|
|
|
785 <FONT color="green">782</FONT> <a name="line.782"></a>
|
|
|
786 <FONT color="green">783</FONT> /**<a name="line.783"></a>
|
|
|
787 <FONT color="green">784</FONT> * Visit (and possibly change) some matrix entries using the fastest possible order.<a name="line.784"></a>
|
|
|
788 <FONT color="green">785</FONT> * <p>The fastest walking order depends on the exact matrix class. It may be<a name="line.785"></a>
|
|
|
789 <FONT color="green">786</FONT> * different from traditional row or column orders.</p><a name="line.786"></a>
|
|
|
790 <FONT color="green">787</FONT> * @param visitor visitor used to process all matrix entries<a name="line.787"></a>
|
|
|
791 <FONT color="green">788</FONT> * @param startRow Initial row index<a name="line.788"></a>
|
|
|
792 <FONT color="green">789</FONT> * @param endRow Final row index (inclusive)<a name="line.789"></a>
|
|
|
793 <FONT color="green">790</FONT> * @param startColumn Initial column index<a name="line.790"></a>
|
|
|
794 <FONT color="green">791</FONT> * @param endColumn Final column index (inclusive)<a name="line.791"></a>
|
|
|
795 <FONT color="green">792</FONT> * @exception MatrixVisitorException if the visitor cannot process an entry<a name="line.792"></a>
|
|
|
796 <FONT color="green">793</FONT> * @exception MatrixIndexException if the indices are not valid<a name="line.793"></a>
|
|
|
797 <FONT color="green">794</FONT> * @see #walkInRowOrder(RealMatrixChangingVisitor)<a name="line.794"></a>
|
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|
798 <FONT color="green">795</FONT> * @see #walkInRowOrder(RealMatrixPreservingVisitor)<a name="line.795"></a>
|
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799 <FONT color="green">796</FONT> * @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.796"></a>
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|
800 <FONT color="green">797</FONT> * @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.797"></a>
|
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|
801 <FONT color="green">798</FONT> * @see #walkInColumnOrder(RealMatrixChangingVisitor)<a name="line.798"></a>
|
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|
802 <FONT color="green">799</FONT> * @see #walkInColumnOrder(RealMatrixPreservingVisitor)<a name="line.799"></a>
|
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|
803 <FONT color="green">800</FONT> * @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.800"></a>
|
|
|
804 <FONT color="green">801</FONT> * @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.801"></a>
|
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|
805 <FONT color="green">802</FONT> * @see #walkInOptimizedOrder(RealMatrixChangingVisitor)<a name="line.802"></a>
|
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806 <FONT color="green">803</FONT> * @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)<a name="line.803"></a>
|
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807 <FONT color="green">804</FONT> * @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.804"></a>
|
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808 <FONT color="green">805</FONT> * @return the value returned by {@link RealMatrixChangingVisitor#end()} at the end<a name="line.805"></a>
|
|
|
809 <FONT color="green">806</FONT> * of the walk<a name="line.806"></a>
|
|
|
810 <FONT color="green">807</FONT> */<a name="line.807"></a>
|
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|
811 <FONT color="green">808</FONT> double walkInOptimizedOrder(RealMatrixChangingVisitor visitor,<a name="line.808"></a>
|
|
|
812 <FONT color="green">809</FONT> int startRow, int endRow, int startColumn, int endColumn)<a name="line.809"></a>
|
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|
813 <FONT color="green">810</FONT> throws MatrixIndexException, MatrixVisitorException;<a name="line.810"></a>
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|
814 <FONT color="green">811</FONT> <a name="line.811"></a>
|
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|
815 <FONT color="green">812</FONT> /**<a name="line.812"></a>
|
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|
816 <FONT color="green">813</FONT> * Visit (but don't change) some matrix entries using the fastest possible order.<a name="line.813"></a>
|
|
|
817 <FONT color="green">814</FONT> * <p>The fastest walking order depends on the exact matrix class. It may be<a name="line.814"></a>
|
|
|
818 <FONT color="green">815</FONT> * different from traditional row or column orders.</p><a name="line.815"></a>
|
|
|
819 <FONT color="green">816</FONT> * @param visitor visitor used to process all matrix entries<a name="line.816"></a>
|
|
|
820 <FONT color="green">817</FONT> * @param startRow Initial row index<a name="line.817"></a>
|
|
|
821 <FONT color="green">818</FONT> * @param endRow Final row index (inclusive)<a name="line.818"></a>
|
|
|
822 <FONT color="green">819</FONT> * @param startColumn Initial column index<a name="line.819"></a>
|
|
|
823 <FONT color="green">820</FONT> * @param endColumn Final column index (inclusive)<a name="line.820"></a>
|
|
|
824 <FONT color="green">821</FONT> * @exception MatrixVisitorException if the visitor cannot process an entry<a name="line.821"></a>
|
|
|
825 <FONT color="green">822</FONT> * @exception MatrixIndexException if the indices are not valid<a name="line.822"></a>
|
|
|
826 <FONT color="green">823</FONT> * @see #walkInRowOrder(RealMatrixChangingVisitor)<a name="line.823"></a>
|
|
|
827 <FONT color="green">824</FONT> * @see #walkInRowOrder(RealMatrixPreservingVisitor)<a name="line.824"></a>
|
|
|
828 <FONT color="green">825</FONT> * @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.825"></a>
|
|
|
829 <FONT color="green">826</FONT> * @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.826"></a>
|
|
|
830 <FONT color="green">827</FONT> * @see #walkInColumnOrder(RealMatrixChangingVisitor)<a name="line.827"></a>
|
|
|
831 <FONT color="green">828</FONT> * @see #walkInColumnOrder(RealMatrixPreservingVisitor)<a name="line.828"></a>
|
|
|
832 <FONT color="green">829</FONT> * @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.829"></a>
|
|
|
833 <FONT color="green">830</FONT> * @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)<a name="line.830"></a>
|
|
|
834 <FONT color="green">831</FONT> * @see #walkInOptimizedOrder(RealMatrixChangingVisitor)<a name="line.831"></a>
|
|
|
835 <FONT color="green">832</FONT> * @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)<a name="line.832"></a>
|
|
|
836 <FONT color="green">833</FONT> * @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)<a name="line.833"></a>
|
|
|
837 <FONT color="green">834</FONT> * @return the value returned by {@link RealMatrixPreservingVisitor#end()} at the end<a name="line.834"></a>
|
|
|
838 <FONT color="green">835</FONT> * of the walk<a name="line.835"></a>
|
|
|
839 <FONT color="green">836</FONT> */<a name="line.836"></a>
|
|
|
840 <FONT color="green">837</FONT> double walkInOptimizedOrder(RealMatrixPreservingVisitor visitor,<a name="line.837"></a>
|
|
|
841 <FONT color="green">838</FONT> int startRow, int endRow, int startColumn, int endColumn)<a name="line.838"></a>
|
|
|
842 <FONT color="green">839</FONT> throws MatrixIndexException, MatrixVisitorException;<a name="line.839"></a>
|
|
|
843 <FONT color="green">840</FONT> <a name="line.840"></a>
|
|
|
844 <FONT color="green">841</FONT> /**<a name="line.841"></a>
|
|
|
845 <FONT color="green">842</FONT> * Returns the solution vector for a linear system with coefficient<a name="line.842"></a>
|
|
|
846 <FONT color="green">843</FONT> * matrix = this and constant vector = <code>b</code>.<a name="line.843"></a>
|
|
|
847 <FONT color="green">844</FONT> *<a name="line.844"></a>
|
|
|
848 <FONT color="green">845</FONT> * @param b constant vector<a name="line.845"></a>
|
|
|
849 <FONT color="green">846</FONT> * @return vector of solution values to AX = b, where A is *this<a name="line.846"></a>
|
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|
850 <FONT color="green">847</FONT> * @throws IllegalArgumentException if this.rowDimension != b.length<a name="line.847"></a>
|
|
|
851 <FONT color="green">848</FONT> * @throws InvalidMatrixException if this matrix is not square or is singular<a name="line.848"></a>
|
|
|
852 <FONT color="green">849</FONT> * @deprecated as of release 2.0, replaced by {@link DecompositionSolver#solve(double[])}<a name="line.849"></a>
|
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|
853 <FONT color="green">850</FONT> */<a name="line.850"></a>
|
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|
854 <FONT color="green">851</FONT> @Deprecated<a name="line.851"></a>
|
|
|
855 <FONT color="green">852</FONT> double[] solve(double[] b) throws IllegalArgumentException, InvalidMatrixException;<a name="line.852"></a>
|
|
|
856 <FONT color="green">853</FONT> <a name="line.853"></a>
|
|
|
857 <FONT color="green">854</FONT> /**<a name="line.854"></a>
|
|
|
858 <FONT color="green">855</FONT> * Returns a matrix of (column) solution vectors for linear systems with<a name="line.855"></a>
|
|
|
859 <FONT color="green">856</FONT> * coefficient matrix = this and constant vectors = columns of<a name="line.856"></a>
|
|
|
860 <FONT color="green">857</FONT> * <code>b</code>.<a name="line.857"></a>
|
|
|
861 <FONT color="green">858</FONT> *<a name="line.858"></a>
|
|
|
862 <FONT color="green">859</FONT> * @param b matrix of constant vectors forming RHS of linear systems to<a name="line.859"></a>
|
|
|
863 <FONT color="green">860</FONT> * to solve<a name="line.860"></a>
|
|
|
864 <FONT color="green">861</FONT> * @return matrix of solution vectors<a name="line.861"></a>
|
|
|
865 <FONT color="green">862</FONT> * @throws IllegalArgumentException if this.rowDimension != row dimension<a name="line.862"></a>
|
|
|
866 <FONT color="green">863</FONT> * @throws InvalidMatrixException if this matrix is not square or is singular<a name="line.863"></a>
|
|
|
867 <FONT color="green">864</FONT> * @deprecated as of release 2.0, replaced by {@link DecompositionSolver#solve(RealMatrix)}<a name="line.864"></a>
|
|
|
868 <FONT color="green">865</FONT> */<a name="line.865"></a>
|
|
|
869 <FONT color="green">866</FONT> @Deprecated<a name="line.866"></a>
|
|
|
870 <FONT color="green">867</FONT> RealMatrix solve(RealMatrix b) throws IllegalArgumentException, InvalidMatrixException;<a name="line.867"></a>
|
|
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871 <FONT color="green">868</FONT> <a name="line.868"></a>
|
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872 <FONT color="green">869</FONT> }<a name="line.869"></a>
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873
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874
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875
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876
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877
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878
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879
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880
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881
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882
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883
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884
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885
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886
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887
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888
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889
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890
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891
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892
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893
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894
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895
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896
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897
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898
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899
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900
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901
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902
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903
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904
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905
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906
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907
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908
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909
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910
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911
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912
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913
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914
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915
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916
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917
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918
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919
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920
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921
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922
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923
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924
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925
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926
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927
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928
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929
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930
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931
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932
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933 </PRE>
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934 </BODY>
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935 </HTML>
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