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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> * An interface to classes that implement an algorithm to calculate the<a name="line.22"></a>
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26 <FONT color="green">023</FONT> * LU-decomposition of a real matrix.<a name="line.23"></a>
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27 <FONT color="green">024</FONT> * <p>The LU-decomposition of matrix A is a set of three matrices: P, L and U<a name="line.24"></a>
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28 <FONT color="green">025</FONT> * such that P&times;A = L&times;U. P is a rows permutation matrix that is used<a name="line.25"></a>
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29 <FONT color="green">026</FONT> * to rearrange the rows of A before so that it can be decomposed. L is a lower<a name="line.26"></a>
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30 <FONT color="green">027</FONT> * triangular matrix with unit diagonal terms and U is an upper triangular matrix.</p><a name="line.27"></a>
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31 <FONT color="green">028</FONT> * <p>This interface is based on the class with similar name from the<a name="line.28"></a>
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32 <FONT color="green">029</FONT> * <a href="http://math.nist.gov/javanumerics/jama/">JAMA</a> library.</p><a name="line.29"></a>
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33 <FONT color="green">030</FONT> * <ul><a name="line.30"></a>
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34 <FONT color="green">031</FONT> * <li>a {@link #getP() getP} method has been added,</li><a name="line.31"></a>
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35 <FONT color="green">032</FONT> * <li>the <code>det</code> method has been renamed as {@link #getDeterminant()<a name="line.32"></a>
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36 <FONT color="green">033</FONT> * getDeterminant},</li><a name="line.33"></a>
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37 <FONT color="green">034</FONT> * <li>the <code>getDoublePivot</code> method has been removed (but the int based<a name="line.34"></a>
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38 <FONT color="green">035</FONT> * {@link #getPivot() getPivot} method has been kept),</li><a name="line.35"></a>
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39 <FONT color="green">036</FONT> * <li>the <code>solve</code> and <code>isNonSingular</code> methods have been replaced<a name="line.36"></a>
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40 <FONT color="green">037</FONT> * by a {@link #getSolver() getSolver} method and the equivalent methods provided by<a name="line.37"></a>
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41 <FONT color="green">038</FONT> * the returned {@link DecompositionSolver}.</li><a name="line.38"></a>
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42 <FONT color="green">039</FONT> * </ul><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> * @see <a href="http://mathworld.wolfram.com/LUDecomposition.html">MathWorld</a><a name="line.41"></a>
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45 <FONT color="green">042</FONT> * @see <a href="http://en.wikipedia.org/wiki/LU_decomposition">Wikipedia</a><a name="line.42"></a>
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46 <FONT color="green">043</FONT> * @version $Revision: 826627 $ $Date: 2009-10-19 06:27:47 -0400 (Mon, 19 Oct 2009) $<a name="line.43"></a>
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47 <FONT color="green">044</FONT> * @since 2.0<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> public interface LUDecomposition {<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> /**<a name="line.48"></a>
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52 <FONT color="green">049</FONT> * Returns the matrix L of the decomposition.<a name="line.49"></a>
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53 <FONT color="green">050</FONT> * <p>L is an lower-triangular matrix</p><a name="line.50"></a>
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54 <FONT color="green">051</FONT> * @return the L matrix (or null if decomposed matrix is singular)<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> RealMatrix getL();<a name="line.53"></a>
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57 <FONT color="green">054</FONT> <a name="line.54"></a>
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58 <FONT color="green">055</FONT> /**<a name="line.55"></a>
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59 <FONT color="green">056</FONT> * Returns the matrix U of the decomposition.<a name="line.56"></a>
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60 <FONT color="green">057</FONT> * <p>U is an upper-triangular matrix</p><a name="line.57"></a>
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61 <FONT color="green">058</FONT> * @return the U matrix (or null if decomposed matrix is singular)<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> RealMatrix getU();<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> /**<a name="line.62"></a>
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66 <FONT color="green">063</FONT> * Returns the P rows permutation matrix.<a name="line.63"></a>
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67 <FONT color="green">064</FONT> * <p>P is a sparse matrix with exactly one element set to 1.0 in<a name="line.64"></a>
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68 <FONT color="green">065</FONT> * each row and each column, all other elements being set to 0.0.</p><a name="line.65"></a>
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69 <FONT color="green">066</FONT> * <p>The positions of the 1 elements are given by the {@link #getPivot()<a name="line.66"></a>
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70 <FONT color="green">067</FONT> * pivot permutation vector}.</p><a name="line.67"></a>
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71 <FONT color="green">068</FONT> * @return the P rows permutation matrix (or null if decomposed matrix is singular)<a name="line.68"></a>
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72 <FONT color="green">069</FONT> * @see #getPivot()<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> RealMatrix getP();<a name="line.71"></a>
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75 <FONT color="green">072</FONT> <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> * Returns the pivot permutation vector.<a name="line.74"></a>
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78 <FONT color="green">075</FONT> * @return the pivot permutation vector<a name="line.75"></a>
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79 <FONT color="green">076</FONT> * @see #getP()<a name="line.76"></a>
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80 <FONT color="green">077</FONT> */<a name="line.77"></a>
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81 <FONT color="green">078</FONT> int[] getPivot();<a name="line.78"></a>
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82 <FONT color="green">079</FONT> <a name="line.79"></a>
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83 <FONT color="green">080</FONT> /**<a name="line.80"></a>
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84 <FONT color="green">081</FONT> * Return the determinant of the matrix<a name="line.81"></a>
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85 <FONT color="green">082</FONT> * @return determinant of the matrix<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> double getDeterminant();<a name="line.84"></a>
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88 <FONT color="green">085</FONT> <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> * Get a solver for finding the A &times; X = B solution in exact linear sense.<a name="line.87"></a>
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91 <FONT color="green">088</FONT> * @return a solver<a name="line.88"></a>
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92 <FONT color="green">089</FONT> */<a name="line.89"></a>
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93 <FONT color="green">090</FONT> DecompositionSolver getSolver();<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> }<a name="line.92"></a>
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156 </PRE>
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157 </BODY>
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158 </HTML>
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