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FieldLUDecompositionImpl (Commons Math 2.1 API)
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org.apache.commons.math.linear</FONT>
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Class FieldLUDecompositionImpl&lt;T extends <A HREF="../../../../../org/apache/commons/math/FieldElement.html" title="interface in org.apache.commons.math">FieldElement</A>&lt;T&gt;&gt;</H2>
<PRE>
<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>
  <IMG SRC="../../../../../resources/inherit.gif" ALT="extended by "><B>org.apache.commons.math.linear.FieldLUDecompositionImpl&lt;T&gt;</B>
</PRE>
<DL>
<DT><DT><B>Type Parameters:</B><DD><CODE>T</CODE> - the type of the field elements</DL>
<DL>
<DT><B>All Implemented Interfaces:</B> <DD><A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecomposition.html" title="interface in org.apache.commons.math.linear">FieldLUDecomposition</A>&lt;T&gt;</DD>
</DL>
<HR>
<DL>
<DT><PRE>public class <A HREF="../../../../../src-html/org/apache/commons/math/linear/FieldLUDecompositionImpl.html#line.40"><B>FieldLUDecompositionImpl&lt;T extends <A HREF="../../../../../org/apache/commons/math/FieldElement.html" title="interface in org.apache.commons.math">FieldElement</A>&lt;T&gt;&gt;</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/FieldLUDecomposition.html" title="interface in org.apache.commons.math.linear">FieldLUDecomposition</A>&lt;T&gt;</DL>
</PRE>

<P>
Calculates the LUP-decomposition of a square matrix.
 <p>The LUP-decomposition of a matrix A consists of three matrices
 L, U and P that satisfy: PA = LU, L is lower triangular, and U is
 upper triangular and P is a permutation matrix. All matrices are
 m&times;m.</p>
 <p>Since <A HREF="../../../../../org/apache/commons/math/FieldElement.html" title="interface in org.apache.commons.math"><CODE>field elements</CODE></A> do not provide an ordering
 operator, the permutation matrix is computed here only in order to avoid
 a zero pivot element, no attempt is done to get the largest pivot element.</p>
<P>

<P>
<DL>
<DT><B>Since:</B></DT>
  <DD>2.0</DD>
<DT><B>Version:</B></DT>
  <DD>$Revision: 903046 $ $Date: 2010-01-25 21:07:26 -0500 (Mon, 25 Jan 2010) $</DD>
</DL>
<HR>

<P>

<!-- ======== CONSTRUCTOR SUMMARY ======== -->

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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><B><A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html#FieldLUDecompositionImpl(org.apache.commons.math.linear.FieldMatrix)">FieldLUDecompositionImpl</A></B>(<A HREF="../../../../../org/apache/commons/math/linear/FieldMatrix.html" title="interface in org.apache.commons.math.linear">FieldMatrix</A>&lt;<A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html" title="type parameter in FieldLUDecompositionImpl">T</A>&gt;&nbsp;matrix)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Calculates the LU-decomposition of the given matrix.</TD>
</TR>
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<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html" title="type parameter in FieldLUDecompositionImpl">T</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html#getDeterminant()">getDeterminant</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Return the determinant of the matrix</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../org/apache/commons/math/linear/FieldMatrix.html" title="interface in org.apache.commons.math.linear">FieldMatrix</A>&lt;<A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html" title="type parameter in FieldLUDecompositionImpl">T</A>&gt;</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html#getL()">getL</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the matrix L of the decomposition.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../org/apache/commons/math/linear/FieldMatrix.html" title="interface in org.apache.commons.math.linear">FieldMatrix</A>&lt;<A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html" title="type parameter in FieldLUDecompositionImpl">T</A>&gt;</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html#getP()">getP</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the P rows permutation matrix.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;int[]</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html#getPivot()">getPivot</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the pivot permutation vector.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../org/apache/commons/math/linear/FieldDecompositionSolver.html" title="interface in org.apache.commons.math.linear">FieldDecompositionSolver</A>&lt;<A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html" title="type parameter in FieldLUDecompositionImpl">T</A>&gt;</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html#getSolver()">getSolver</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Get a solver for finding the A &times; X = B solution in exact linear sense.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../org/apache/commons/math/linear/FieldMatrix.html" title="interface in org.apache.commons.math.linear">FieldMatrix</A>&lt;<A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html" title="type parameter in FieldLUDecompositionImpl">T</A>&gt;</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html#getU()">getU</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the matrix U of the decomposition.</TD>
</TR>
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<A NAME="FieldLUDecompositionImpl(org.apache.commons.math.linear.FieldMatrix)"><!-- --></A><H3>
FieldLUDecompositionImpl</H3>
<PRE>
public <A HREF="../../../../../src-html/org/apache/commons/math/linear/FieldLUDecompositionImpl.html#line.71"><B>FieldLUDecompositionImpl</B></A>(<A HREF="../../../../../org/apache/commons/math/linear/FieldMatrix.html" title="interface in org.apache.commons.math.linear">FieldMatrix</A>&lt;<A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html" title="type parameter in FieldLUDecompositionImpl">T</A>&gt;&nbsp;matrix)
                         throws <A HREF="../../../../../org/apache/commons/math/linear/NonSquareMatrixException.html" title="class in org.apache.commons.math.linear">NonSquareMatrixException</A></PRE>
<DL>
<DD>Calculates the LU-decomposition of the given matrix.
<P>
<DL>
<DT><B>Parameters:</B><DD><CODE>matrix</CODE> - The matrix to decompose.
<DT><B>Throws:</B>
<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</DL>
</DL>

<!-- ============ METHOD DETAIL ========== -->

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<A NAME="getL()"><!-- --></A><H3>
getL</H3>
<PRE>
public <A HREF="../../../../../org/apache/commons/math/linear/FieldMatrix.html" title="interface in org.apache.commons.math.linear">FieldMatrix</A>&lt;<A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html" title="type parameter in FieldLUDecompositionImpl">T</A>&gt; <A HREF="../../../../../src-html/org/apache/commons/math/linear/FieldLUDecompositionImpl.html#line.155"><B>getL</B></A>()</PRE>
<DL>
<DD>Returns the matrix L of the decomposition.
 <p>L is an lower-triangular matrix</p>
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecomposition.html#getL()">getL</A></CODE> in interface <CODE><A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecomposition.html" title="interface in org.apache.commons.math.linear">FieldLUDecomposition</A>&lt;<A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html" title="type parameter in FieldLUDecompositionImpl">T</A> extends <A HREF="../../../../../org/apache/commons/math/FieldElement.html" title="interface in org.apache.commons.math">FieldElement</A>&lt;<A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html" title="type parameter in FieldLUDecompositionImpl">T</A>&gt;&gt;</CODE></DL>
</DD>
<DD><DL>

<DT><B>Returns:</B><DD>the L matrix (or null if decomposed matrix is singular)</DL>
</DD>
</DL>
<HR>

<A NAME="getU()"><!-- --></A><H3>
getU</H3>
<PRE>
public <A HREF="../../../../../org/apache/commons/math/linear/FieldMatrix.html" title="interface in org.apache.commons.math.linear">FieldMatrix</A>&lt;<A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html" title="type parameter in FieldLUDecompositionImpl">T</A>&gt; <A HREF="../../../../../src-html/org/apache/commons/math/linear/FieldLUDecompositionImpl.html#line.171"><B>getU</B></A>()</PRE>
<DL>
<DD>Returns the matrix U of the decomposition.
 <p>U is an upper-triangular matrix</p>
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecomposition.html#getU()">getU</A></CODE> in interface <CODE><A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecomposition.html" title="interface in org.apache.commons.math.linear">FieldLUDecomposition</A>&lt;<A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html" title="type parameter in FieldLUDecompositionImpl">T</A> extends <A HREF="../../../../../org/apache/commons/math/FieldElement.html" title="interface in org.apache.commons.math">FieldElement</A>&lt;<A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html" title="type parameter in FieldLUDecompositionImpl">T</A>&gt;&gt;</CODE></DL>
</DD>
<DD><DL>

<DT><B>Returns:</B><DD>the U matrix (or null if decomposed matrix is singular)</DL>
</DD>
</DL>
<HR>

<A NAME="getP()"><!-- --></A><H3>
getP</H3>
<PRE>
public <A HREF="../../../../../org/apache/commons/math/linear/FieldMatrix.html" title="interface in org.apache.commons.math.linear">FieldMatrix</A>&lt;<A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html" title="type parameter in FieldLUDecompositionImpl">T</A>&gt; <A HREF="../../../../../src-html/org/apache/commons/math/linear/FieldLUDecompositionImpl.html#line.186"><B>getP</B></A>()</PRE>
<DL>
<DD>Returns the P rows permutation matrix.
 <p>P is a sparse matrix with exactly one element set to 1.0 in
 each row and each column, all other elements being set to 0.0.</p>
 <p>The positions of the 1 elements are given by the <A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecomposition.html#getPivot()"><CODE>pivot permutation vector</CODE></A>.</p>
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecomposition.html#getP()">getP</A></CODE> in interface <CODE><A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecomposition.html" title="interface in org.apache.commons.math.linear">FieldLUDecomposition</A>&lt;<A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html" title="type parameter in FieldLUDecompositionImpl">T</A> extends <A HREF="../../../../../org/apache/commons/math/FieldElement.html" title="interface in org.apache.commons.math">FieldElement</A>&lt;<A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html" title="type parameter in FieldLUDecompositionImpl">T</A>&gt;&gt;</CODE></DL>
</DD>
<DD><DL>

<DT><B>Returns:</B><DD>the P rows permutation matrix (or null if decomposed matrix is singular)<DT><B>See Also:</B><DD><A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecomposition.html#getPivot()"><CODE>FieldLUDecomposition.getPivot()</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="getPivot()"><!-- --></A><H3>
getPivot</H3>
<PRE>
public int[] <A HREF="../../../../../src-html/org/apache/commons/math/linear/FieldLUDecompositionImpl.html#line.198"><B>getPivot</B></A>()</PRE>
<DL>
<DD>Returns the pivot permutation vector.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecomposition.html#getPivot()">getPivot</A></CODE> in interface <CODE><A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecomposition.html" title="interface in org.apache.commons.math.linear">FieldLUDecomposition</A>&lt;<A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html" title="type parameter in FieldLUDecompositionImpl">T</A> extends <A HREF="../../../../../org/apache/commons/math/FieldElement.html" title="interface in org.apache.commons.math">FieldElement</A>&lt;<A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html" title="type parameter in FieldLUDecompositionImpl">T</A>&gt;&gt;</CODE></DL>
</DD>
<DD><DL>

<DT><B>Returns:</B><DD>the pivot permutation vector<DT><B>See Also:</B><DD><A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecomposition.html#getP()"><CODE>FieldLUDecomposition.getP()</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="getDeterminant()"><!-- --></A><H3>
getDeterminant</H3>
<PRE>
public <A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html" title="type parameter in FieldLUDecompositionImpl">T</A> <A HREF="../../../../../src-html/org/apache/commons/math/linear/FieldLUDecompositionImpl.html#line.203"><B>getDeterminant</B></A>()</PRE>
<DL>
<DD>Return the determinant of the matrix
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecomposition.html#getDeterminant()">getDeterminant</A></CODE> in interface <CODE><A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecomposition.html" title="interface in org.apache.commons.math.linear">FieldLUDecomposition</A>&lt;<A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html" title="type parameter in FieldLUDecompositionImpl">T</A> extends <A HREF="../../../../../org/apache/commons/math/FieldElement.html" title="interface in org.apache.commons.math">FieldElement</A>&lt;<A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html" title="type parameter in FieldLUDecompositionImpl">T</A>&gt;&gt;</CODE></DL>
</DD>
<DD><DL>

<DT><B>Returns:</B><DD>determinant of the matrix</DL>
</DD>
</DL>
<HR>

<A NAME="getSolver()"><!-- --></A><H3>
getSolver</H3>
<PRE>
public <A HREF="../../../../../org/apache/commons/math/linear/FieldDecompositionSolver.html" title="interface in org.apache.commons.math.linear">FieldDecompositionSolver</A>&lt;<A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html" title="type parameter in FieldLUDecompositionImpl">T</A>&gt; <A HREF="../../../../../src-html/org/apache/commons/math/linear/FieldLUDecompositionImpl.html#line.217"><B>getSolver</B></A>()</PRE>
<DL>
<DD>Get a solver for finding the A &times; X = B solution in exact linear sense.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecomposition.html#getSolver()">getSolver</A></CODE> in interface <CODE><A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecomposition.html" title="interface in org.apache.commons.math.linear">FieldLUDecomposition</A>&lt;<A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html" title="type parameter in FieldLUDecompositionImpl">T</A> extends <A HREF="../../../../../org/apache/commons/math/FieldElement.html" title="interface in org.apache.commons.math">FieldElement</A>&lt;<A HREF="../../../../../org/apache/commons/math/linear/FieldLUDecompositionImpl.html" title="type parameter in FieldLUDecompositionImpl">T</A>&gt;&gt;</CODE></DL>
</DD>
<DD><DL>

<DT><B>Returns:</B><DD>a solver</DL>
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