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8 CholeskyDecompositionImpl (Commons Math 2.1 API)
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88 <HR>
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89 <!-- ======== START OF CLASS DATA ======== -->
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90 <H2>
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91 <FONT SIZE="-1">
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92 org.apache.commons.math.linear</FONT>
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93 <BR>
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94 Class CholeskyDecompositionImpl</H2>
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95 <PRE>
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96 <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</A>
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97 <IMG SRC="../../../../../resources/inherit.gif" ALT="extended by "><B>org.apache.commons.math.linear.CholeskyDecompositionImpl</B>
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98 </PRE>
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99 <DL>
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100 <DT><B>All Implemented Interfaces:</B> <DD><A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecomposition.html" title="interface in org.apache.commons.math.linear">CholeskyDecomposition</A></DD>
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101 </DL>
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102 <HR>
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103 <DL>
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104 <DT><PRE>public class <A HREF="../../../../../src-html/org/apache/commons/math/linear/CholeskyDecompositionImpl.html#line.34"><B>CholeskyDecompositionImpl</B></A><DT>extends <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A><DT>implements <A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecomposition.html" title="interface in org.apache.commons.math.linear">CholeskyDecomposition</A></DL>
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105 </PRE>
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106
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107 <P>
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108 Calculates the Cholesky decomposition of a matrix.
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109 <p>The Cholesky decomposition of a real symmetric positive-definite
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110 matrix A consists of a lower triangular matrix L with same size that
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111 satisfy: A = LL<sup>T</sup>Q = I). In a sense, this is the square root of A.</p>
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112 <P>
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113
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114 <P>
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115 <DL>
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116 <DT><B>Since:</B></DT>
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117 <DD>2.0</DD>
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118 <DT><B>Version:</B></DT>
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119 <DD>$Revision: 811685 $ $Date: 2009-09-05 13:36:48 -0400 (Sat, 05 Sep 2009) $</DD>
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120 <DT><B>See Also:</B><DD><a href="http://mathworld.wolfram.com/CholeskyDecomposition.html">MathWorld</a>,
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121 <a href="http://en.wikipedia.org/wiki/Cholesky_decomposition">Wikipedia</a></DL>
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122 <HR>
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123
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124 <P>
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125 <!-- =========== FIELD SUMMARY =========== -->
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126
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127 <A NAME="field_summary"><!-- --></A>
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128 <TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
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129 <TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor">
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130 <TH ALIGN="left" COLSPAN="2"><FONT SIZE="+2">
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131 <B>Field Summary</B></FONT></TH>
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132 </TR>
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134 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
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135 <CODE>static&nbsp;double</CODE></FONT></TD>
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136 <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecompositionImpl.html#DEFAULT_ABSOLUTE_POSITIVITY_THRESHOLD">DEFAULT_ABSOLUTE_POSITIVITY_THRESHOLD</A></B></CODE>
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137
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138 <BR>
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139 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Default threshold below which diagonal elements are considered null
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140 and matrix not positive definite.</TD>
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141 </TR>
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142 <TR BGCOLOR="white" CLASS="TableRowColor">
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143 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
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144 <CODE>static&nbsp;double</CODE></FONT></TD>
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145 <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecompositionImpl.html#DEFAULT_RELATIVE_SYMMETRY_THRESHOLD">DEFAULT_RELATIVE_SYMMETRY_THRESHOLD</A></B></CODE>
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146
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147 <BR>
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148 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Default threshold above which off-diagonal elements are considered too different
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149 and matrix not symmetric.</TD>
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150 </TR>
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151 </TABLE>
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152 &nbsp;
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153 <!-- ======== CONSTRUCTOR SUMMARY ======== -->
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154
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155 <A NAME="constructor_summary"><!-- --></A>
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156 <TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
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157 <TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor">
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158 <TH ALIGN="left" COLSPAN="2"><FONT SIZE="+2">
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159 <B>Constructor Summary</B></FONT></TH>
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160 </TR>
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161 <TR BGCOLOR="white" CLASS="TableRowColor">
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162 <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecompositionImpl.html#CholeskyDecompositionImpl(org.apache.commons.math.linear.RealMatrix)">CholeskyDecompositionImpl</A></B>(<A HREF="../../../../../org/apache/commons/math/linear/RealMatrix.html" title="interface in org.apache.commons.math.linear">RealMatrix</A>&nbsp;matrix)</CODE>
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163
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164 <BR>
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165 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Calculates the Cholesky decomposition of the given matrix.</TD>
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166 </TR>
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167 <TR BGCOLOR="white" CLASS="TableRowColor">
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168 <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecompositionImpl.html#CholeskyDecompositionImpl(org.apache.commons.math.linear.RealMatrix, double, double)">CholeskyDecompositionImpl</A></B>(<A HREF="../../../../../org/apache/commons/math/linear/RealMatrix.html" title="interface in org.apache.commons.math.linear">RealMatrix</A>&nbsp;matrix,
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169 double&nbsp;relativeSymmetryThreshold,
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170 double&nbsp;absolutePositivityThreshold)</CODE>
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171
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172 <BR>
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173 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Calculates the Cholesky decomposition of the given matrix.</TD>
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174 </TR>
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175 </TABLE>
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176 &nbsp;
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177 <!-- ========== METHOD SUMMARY =========== -->
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178
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179 <A NAME="method_summary"><!-- --></A>
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180 <TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
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181 <TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor">
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182 <TH ALIGN="left" COLSPAN="2"><FONT SIZE="+2">
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183 <B>Method Summary</B></FONT></TH>
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184 </TR>
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185 <TR BGCOLOR="white" CLASS="TableRowColor">
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186 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
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187 <CODE>&nbsp;double</CODE></FONT></TD>
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188 <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecompositionImpl.html#getDeterminant()">getDeterminant</A></B>()</CODE>
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189
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190 <BR>
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191 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Return the determinant of the matrix</TD>
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192 </TR>
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193 <TR BGCOLOR="white" CLASS="TableRowColor">
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194 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
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195 <CODE>&nbsp;<A HREF="../../../../../org/apache/commons/math/linear/RealMatrix.html" title="interface in org.apache.commons.math.linear">RealMatrix</A></CODE></FONT></TD>
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196 <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecompositionImpl.html#getL()">getL</A></B>()</CODE>
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197
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198 <BR>
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199 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the matrix L of the decomposition.</TD>
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200 </TR>
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201 <TR BGCOLOR="white" CLASS="TableRowColor">
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202 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
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203 <CODE>&nbsp;<A HREF="../../../../../org/apache/commons/math/linear/RealMatrix.html" title="interface in org.apache.commons.math.linear">RealMatrix</A></CODE></FONT></TD>
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204 <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecompositionImpl.html#getLT()">getLT</A></B>()</CODE>
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205
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206 <BR>
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207 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the transpose of the matrix L of the decomposition.</TD>
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208 </TR>
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209 <TR BGCOLOR="white" CLASS="TableRowColor">
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210 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
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211 <CODE>&nbsp;<A HREF="../../../../../org/apache/commons/math/linear/DecompositionSolver.html" title="interface in org.apache.commons.math.linear">DecompositionSolver</A></CODE></FONT></TD>
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212 <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecompositionImpl.html#getSolver()">getSolver</A></B>()</CODE>
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213
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214 <BR>
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215 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Get a solver for finding the A &times; X = B solution in least square sense.</TD>
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216 </TR>
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217 </TABLE>
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218 &nbsp;<A NAME="methods_inherited_from_class_java.lang.Object"><!-- --></A>
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219 <TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
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220 <TR BGCOLOR="#EEEEFF" CLASS="TableSubHeadingColor">
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221 <TH ALIGN="left"><B>Methods inherited from class java.lang.<A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A></B></TH>
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222 </TR>
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223 <TR BGCOLOR="white" CLASS="TableRowColor">
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224 <TD><CODE><A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait(long, int)" title="class or interface in java.lang">wait</A></CODE></TD>
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225 </TR>
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226 </TABLE>
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227 &nbsp;
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228 <P>
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229
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230 <!-- ============ FIELD DETAIL =========== -->
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231
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232 <A NAME="field_detail"><!-- --></A>
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233 <TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
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234 <TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor">
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235 <TH ALIGN="left" COLSPAN="1"><FONT SIZE="+2">
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236 <B>Field Detail</B></FONT></TH>
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237 </TR>
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238 </TABLE>
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239
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240 <A NAME="DEFAULT_RELATIVE_SYMMETRY_THRESHOLD"><!-- --></A><H3>
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241 DEFAULT_RELATIVE_SYMMETRY_THRESHOLD</H3>
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242 <PRE>
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243 public static final double <A HREF="../../../../../src-html/org/apache/commons/math/linear/CholeskyDecompositionImpl.html#line.38"><B>DEFAULT_RELATIVE_SYMMETRY_THRESHOLD</B></A></PRE>
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244 <DL>
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245 <DD>Default threshold above which off-diagonal elements are considered too different
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246 and matrix not symmetric.
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247 <P>
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248 <DL>
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249 <DT><B>See Also:</B><DD><A HREF="../../../../../constant-values.html#org.apache.commons.math.linear.CholeskyDecompositionImpl.DEFAULT_RELATIVE_SYMMETRY_THRESHOLD">Constant Field Values</A></DL>
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250 </DL>
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251 <HR>
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252
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253 <A NAME="DEFAULT_ABSOLUTE_POSITIVITY_THRESHOLD"><!-- --></A><H3>
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254 DEFAULT_ABSOLUTE_POSITIVITY_THRESHOLD</H3>
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255 <PRE>
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256 public static final double <A HREF="../../../../../src-html/org/apache/commons/math/linear/CholeskyDecompositionImpl.html#line.42"><B>DEFAULT_ABSOLUTE_POSITIVITY_THRESHOLD</B></A></PRE>
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257 <DL>
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258 <DD>Default threshold below which diagonal elements are considered null
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259 and matrix not positive definite.
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260 <P>
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261 <DL>
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262 <DT><B>See Also:</B><DD><A HREF="../../../../../constant-values.html#org.apache.commons.math.linear.CholeskyDecompositionImpl.DEFAULT_ABSOLUTE_POSITIVITY_THRESHOLD">Constant Field Values</A></DL>
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263 </DL>
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264
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265 <!-- ========= CONSTRUCTOR DETAIL ======== -->
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266
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267 <A NAME="constructor_detail"><!-- --></A>
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268 <TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
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269 <TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor">
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270 <TH ALIGN="left" COLSPAN="1"><FONT SIZE="+2">
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271 <B>Constructor Detail</B></FONT></TH>
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272 </TR>
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273 </TABLE>
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274
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275 <A NAME="CholeskyDecompositionImpl(org.apache.commons.math.linear.RealMatrix)"><!-- --></A><H3>
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276 CholeskyDecompositionImpl</H3>
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277 <PRE>
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278 public <A HREF="../../../../../src-html/org/apache/commons/math/linear/CholeskyDecompositionImpl.html#line.71"><B>CholeskyDecompositionImpl</B></A>(<A HREF="../../../../../org/apache/commons/math/linear/RealMatrix.html" title="interface in org.apache.commons.math.linear">RealMatrix</A>&nbsp;matrix)
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279 throws <A HREF="../../../../../org/apache/commons/math/linear/NonSquareMatrixException.html" title="class in org.apache.commons.math.linear">NonSquareMatrixException</A>,
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280 <A HREF="../../../../../org/apache/commons/math/linear/NotSymmetricMatrixException.html" title="class in org.apache.commons.math.linear">NotSymmetricMatrixException</A>,
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281 <A HREF="../../../../../org/apache/commons/math/linear/NotPositiveDefiniteMatrixException.html" title="class in org.apache.commons.math.linear">NotPositiveDefiniteMatrixException</A></PRE>
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282 <DL>
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283 <DD>Calculates the Cholesky decomposition of the given matrix.
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284 <p>
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285 Calling this constructor is equivalent to call <A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecompositionImpl.html#CholeskyDecompositionImpl(org.apache.commons.math.linear.RealMatrix, double, double)"><CODE>CholeskyDecompositionImpl(RealMatrix, double, double)</CODE></A> with the
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286 thresholds set to the default values <A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecompositionImpl.html#DEFAULT_RELATIVE_SYMMETRY_THRESHOLD"><CODE>DEFAULT_RELATIVE_SYMMETRY_THRESHOLD</CODE></A> and <A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecompositionImpl.html#DEFAULT_ABSOLUTE_POSITIVITY_THRESHOLD"><CODE>DEFAULT_ABSOLUTE_POSITIVITY_THRESHOLD</CODE></A>
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287 </p>
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288 <P>
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289 <DL>
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290 <DT><B>Parameters:</B><DD><CODE>matrix</CODE> - the matrix to decompose
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291 <DT><B>Throws:</B>
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292 <DD><CODE><A HREF="../../../../../org/apache/commons/math/linear/NonSquareMatrixException.html" title="class in org.apache.commons.math.linear">NonSquareMatrixException</A></CODE> - if matrix is not square
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293 <DD><CODE><A HREF="../../../../../org/apache/commons/math/linear/NotSymmetricMatrixException.html" title="class in org.apache.commons.math.linear">NotSymmetricMatrixException</A></CODE> - if matrix is not symmetric
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294 <DD><CODE><A HREF="../../../../../org/apache/commons/math/linear/NotPositiveDefiniteMatrixException.html" title="class in org.apache.commons.math.linear">NotPositiveDefiniteMatrixException</A></CODE> - if the matrix is not
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295 strictly positive definite<DT><B>See Also:</B><DD><A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecompositionImpl.html#CholeskyDecompositionImpl(org.apache.commons.math.linear.RealMatrix, double, double)"><CODE>CholeskyDecompositionImpl(RealMatrix, double, double)</CODE></A>,
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296 <A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecompositionImpl.html#DEFAULT_RELATIVE_SYMMETRY_THRESHOLD"><CODE>DEFAULT_RELATIVE_SYMMETRY_THRESHOLD</CODE></A>,
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297 <A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecompositionImpl.html#DEFAULT_ABSOLUTE_POSITIVITY_THRESHOLD"><CODE>DEFAULT_ABSOLUTE_POSITIVITY_THRESHOLD</CODE></A></DL>
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298 </DL>
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299 <HR>
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300
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301 <A NAME="CholeskyDecompositionImpl(org.apache.commons.math.linear.RealMatrix, double, double)"><!-- --></A><H3>
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302 CholeskyDecompositionImpl</H3>
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303 <PRE>
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304 public <A HREF="../../../../../src-html/org/apache/commons/math/linear/CholeskyDecompositionImpl.html#line.93"><B>CholeskyDecompositionImpl</B></A>(<A HREF="../../../../../org/apache/commons/math/linear/RealMatrix.html" title="interface in org.apache.commons.math.linear">RealMatrix</A>&nbsp;matrix,
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305 double&nbsp;relativeSymmetryThreshold,
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306 double&nbsp;absolutePositivityThreshold)
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307 throws <A HREF="../../../../../org/apache/commons/math/linear/NonSquareMatrixException.html" title="class in org.apache.commons.math.linear">NonSquareMatrixException</A>,
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308 <A HREF="../../../../../org/apache/commons/math/linear/NotSymmetricMatrixException.html" title="class in org.apache.commons.math.linear">NotSymmetricMatrixException</A>,
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309 <A HREF="../../../../../org/apache/commons/math/linear/NotPositiveDefiniteMatrixException.html" title="class in org.apache.commons.math.linear">NotPositiveDefiniteMatrixException</A></PRE>
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310 <DL>
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311 <DD>Calculates the Cholesky decomposition of the given matrix.
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312 <P>
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313 <DL>
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314 <DT><B>Parameters:</B><DD><CODE>matrix</CODE> - the matrix to decompose<DD><CODE>relativeSymmetryThreshold</CODE> - threshold above which off-diagonal
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315 elements are considered too different and matrix not symmetric<DD><CODE>absolutePositivityThreshold</CODE> - threshold below which diagonal
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317 <DT><B>Throws:</B>
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318 <DD><CODE><A HREF="../../../../../org/apache/commons/math/linear/NonSquareMatrixException.html" title="class in org.apache.commons.math.linear">NonSquareMatrixException</A></CODE> - if matrix is not square
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319 <DD><CODE><A HREF="../../../../../org/apache/commons/math/linear/NotSymmetricMatrixException.html" title="class in org.apache.commons.math.linear">NotSymmetricMatrixException</A></CODE> - if matrix is not symmetric
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320 <DD><CODE><A HREF="../../../../../org/apache/commons/math/linear/NotPositiveDefiniteMatrixException.html" title="class in org.apache.commons.math.linear">NotPositiveDefiniteMatrixException</A></CODE> - if the matrix is not
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321 strictly positive definite<DT><B>See Also:</B><DD><A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecompositionImpl.html#CholeskyDecompositionImpl(org.apache.commons.math.linear.RealMatrix)"><CODE>CholeskyDecompositionImpl(RealMatrix)</CODE></A>,
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322 <A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecompositionImpl.html#DEFAULT_RELATIVE_SYMMETRY_THRESHOLD"><CODE>DEFAULT_RELATIVE_SYMMETRY_THRESHOLD</CODE></A>,
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323 <A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecompositionImpl.html#DEFAULT_ABSOLUTE_POSITIVITY_THRESHOLD"><CODE>DEFAULT_ABSOLUTE_POSITIVITY_THRESHOLD</CODE></A></DL>
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324 </DL>
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325
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326 <!-- ============ METHOD DETAIL ========== -->
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327
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328 <A NAME="method_detail"><!-- --></A>
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329 <TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
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330 <TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor">
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331 <TH ALIGN="left" COLSPAN="1"><FONT SIZE="+2">
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332 <B>Method Detail</B></FONT></TH>
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333 </TR>
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334 </TABLE>
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335
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336 <A NAME="getL()"><!-- --></A><H3>
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337 getL</H3>
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338 <PRE>
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339 public <A HREF="../../../../../org/apache/commons/math/linear/RealMatrix.html" title="interface in org.apache.commons.math.linear">RealMatrix</A> <A HREF="../../../../../src-html/org/apache/commons/math/linear/CholeskyDecompositionImpl.html#line.154"><B>getL</B></A>()</PRE>
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340 <DL>
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341 <DD>Returns the matrix L of the decomposition.
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342 <p>L is an lower-triangular matrix</p>
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343 <P>
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344 <DD><DL>
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345 <DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecomposition.html#getL()">getL</A></CODE> in interface <CODE><A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecomposition.html" title="interface in org.apache.commons.math.linear">CholeskyDecomposition</A></CODE></DL>
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346 </DD>
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347 <DD><DL>
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348
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349 <DT><B>Returns:</B><DD>the L matrix</DL>
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350 </DD>
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351 </DL>
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352 <HR>
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353
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354 <A NAME="getLT()"><!-- --></A><H3>
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355 getLT</H3>
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356 <PRE>
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357 public <A HREF="../../../../../org/apache/commons/math/linear/RealMatrix.html" title="interface in org.apache.commons.math.linear">RealMatrix</A> <A HREF="../../../../../src-html/org/apache/commons/math/linear/CholeskyDecompositionImpl.html#line.162"><B>getLT</B></A>()</PRE>
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358 <DL>
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359 <DD>Returns the transpose of the matrix L of the decomposition.
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360 <p>L<sup>T</sup> is an upper-triangular matrix</p>
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361 <P>
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362 <DD><DL>
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363 <DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecomposition.html#getLT()">getLT</A></CODE> in interface <CODE><A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecomposition.html" title="interface in org.apache.commons.math.linear">CholeskyDecomposition</A></CODE></DL>
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364 </DD>
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365 <DD><DL>
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366
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367 <DT><B>Returns:</B><DD>the transpose of the matrix L of the decomposition</DL>
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368 </DD>
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369 </DL>
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370 <HR>
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371
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372 <A NAME="getDeterminant()"><!-- --></A><H3>
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373 getDeterminant</H3>
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374 <PRE>
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375 public double <A HREF="../../../../../src-html/org/apache/commons/math/linear/CholeskyDecompositionImpl.html#line.174"><B>getDeterminant</B></A>()</PRE>
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376 <DL>
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377 <DD>Return the determinant of the matrix
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378 <P>
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379 <DD><DL>
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380 <DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecomposition.html#getDeterminant()">getDeterminant</A></CODE> in interface <CODE><A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecomposition.html" title="interface in org.apache.commons.math.linear">CholeskyDecomposition</A></CODE></DL>
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381 </DD>
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382 <DD><DL>
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383
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384 <DT><B>Returns:</B><DD>determinant of the matrix</DL>
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385 </DD>
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386 </DL>
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387 <HR>
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388
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389 <A NAME="getSolver()"><!-- --></A><H3>
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390 getSolver</H3>
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391 <PRE>
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392 public <A HREF="../../../../../org/apache/commons/math/linear/DecompositionSolver.html" title="interface in org.apache.commons.math.linear">DecompositionSolver</A> <A HREF="../../../../../src-html/org/apache/commons/math/linear/CholeskyDecompositionImpl.html#line.184"><B>getSolver</B></A>()</PRE>
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393 <DL>
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394 <DD>Get a solver for finding the A &times; X = B solution in least square sense.
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395 <P>
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396 <DD><DL>
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397 <DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecomposition.html#getSolver()">getSolver</A></CODE> in interface <CODE><A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecomposition.html" title="interface in org.apache.commons.math.linear">CholeskyDecomposition</A></CODE></DL>
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398 </DD>
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399 <DD><DL>
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400
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401 <DT><B>Returns:</B><DD>a solver</DL>
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402 </DD>
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403 </DL>
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404 <!-- ========= END OF CLASS DATA ========= -->
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405 <HR>
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406
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407
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408 <!-- ======= START OF BOTTOM NAVBAR ====== -->
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409 <A NAME="navbar_bottom"><!-- --></A>
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410 <A HREF="#skip-navbar_bottom" title="Skip navigation links"></A>
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411 <TABLE BORDER="0" WIDTH="100%" CELLPADDING="1" CELLSPACING="0" SUMMARY="">
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412 <TR>
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413 <TD COLSPAN=2 BGCOLOR="#EEEEFF" CLASS="NavBarCell1">
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414 <A NAME="navbar_bottom_firstrow"><!-- --></A>
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415 <TABLE BORDER="0" CELLPADDING="0" CELLSPACING="3" SUMMARY="">
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417 <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../../../overview-summary.html"><FONT CLASS="NavBarFont1"><B>Overview</B></FONT></A>&nbsp;</TD>
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418 <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="package-summary.html"><FONT CLASS="NavBarFont1"><B>Package</B></FONT></A>&nbsp;</TD>
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419 <TD BGCOLOR="#FFFFFF" CLASS="NavBarCell1Rev"> &nbsp;<FONT CLASS="NavBarFont1Rev"><B>Class</B></FONT>&nbsp;</TD>
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420 <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="class-use/CholeskyDecompositionImpl.html"><FONT CLASS="NavBarFont1"><B>Use</B></FONT></A>&nbsp;</TD>
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421 <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="package-tree.html"><FONT CLASS="NavBarFont1"><B>Tree</B></FONT></A>&nbsp;</TD>
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422 <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../../../deprecated-list.html"><FONT CLASS="NavBarFont1"><B>Deprecated</B></FONT></A>&nbsp;</TD>
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423 <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../../../index-all.html"><FONT CLASS="NavBarFont1"><B>Index</B></FONT></A>&nbsp;</TD>
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424 <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../../../help-doc.html"><FONT CLASS="NavBarFont1"><B>Help</B></FONT></A>&nbsp;</TD>
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425 </TR>
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426 </TABLE>
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427 </TD>
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428 <TD ALIGN="right" VALIGN="top" ROWSPAN=3><EM>
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429 </EM>
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430 </TD>
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431 </TR>
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432
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433 <TR>
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434 <TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2">
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435 &nbsp;<A HREF="../../../../../org/apache/commons/math/linear/CholeskyDecomposition.html" title="interface in org.apache.commons.math.linear"><B>PREV CLASS</B></A>&nbsp;
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436 &nbsp;<A HREF="../../../../../org/apache/commons/math/linear/DecompositionSolver.html" title="interface in org.apache.commons.math.linear"><B>NEXT CLASS</B></A></FONT></TD>
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437 <TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2">
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438 <A HREF="../../../../../index.html?org/apache/commons/math/linear/CholeskyDecompositionImpl.html" target="_top"><B>FRAMES</B></A> &nbsp;
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439 &nbsp;<A HREF="CholeskyDecompositionImpl.html" target="_top"><B>NO FRAMES</B></A> &nbsp;
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440 &nbsp;<SCRIPT type="text/javascript">
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441 <!--
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442 if(window==top) {
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443 document.writeln('<A HREF="../../../../../allclasses-noframe.html"><B>All Classes</B></A>');
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444 }
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445 //-->
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446 </SCRIPT>
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447 <NOSCRIPT>
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448 <A HREF="../../../../../allclasses-noframe.html"><B>All Classes</B></A>
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449 </NOSCRIPT>
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450
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451
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452 </FONT></TD>
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453 </TR>
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454 <TR>
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455 <TD VALIGN="top" CLASS="NavBarCell3"><FONT SIZE="-2">
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456 SUMMARY:&nbsp;NESTED&nbsp;|&nbsp;<A HREF="#field_summary">FIELD</A>&nbsp;|&nbsp;<A HREF="#constructor_summary">CONSTR</A>&nbsp;|&nbsp;<A HREF="#method_summary">METHOD</A></FONT></TD>
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457 <TD VALIGN="top" CLASS="NavBarCell3"><FONT SIZE="-2">
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458 DETAIL:&nbsp;<A HREF="#field_detail">FIELD</A>&nbsp;|&nbsp;<A HREF="#constructor_detail">CONSTR</A>&nbsp;|&nbsp;<A HREF="#method_detail">METHOD</A></FONT></TD>
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459 </TR>
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460 </TABLE>
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461 <A NAME="skip-navbar_bottom"></A>
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462 <!-- ======== END OF BOTTOM NAVBAR ======= -->
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463
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464 <HR>
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465 Copyright &#169; 2003-2010 <a href="http://www.apache.org/">The Apache Software Foundation</a>. All Rights Reserved.
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466 </BODY>
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467 </HTML>