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       X=V*S/V, which can be also written as X=(V'\(V*S)')'  <p/> <b>Note:</b> since this method uses other high-level methods, it generates several instances of matrices.</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE>&nbsp;<A HREF="../../../weka/core/matrix/SingularValueDecomposition.html" title="class in weka.core.matrix">SingularValueDecomposition</A></CODE></FONT></TD><TD><CODE><B><A HREF="../../../weka/core/matrix/Matrix.html#svd()">svd</A></B>()</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Singular Value Decomposition</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE>&nbsp;<A HREF="../../../weka/core/matrix/Matrix.html" title="class in weka.core.matrix">Matrix</A></CODE></FONT></TD><TD><CODE><B><A HREF="../../../weka/core/matrix/Matrix.html#times(double)">times</A></B>(double&nbsp;s)</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Multiply a matrix by a scalar, C = s*A</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE>&nbsp;<A HREF="../../../weka/core/matrix/Matrix.html" title="class in weka.core.matrix">Matrix</A></CODE></FONT></TD><TD><CODE><B><A HREF="../../../weka/core/matrix/Matrix.html#times(weka.core.matrix.Matrix)">times</A></B>(<A HREF="../../../weka/core/matrix/Matrix.html" title="class in weka.core.matrix">Matrix</A>&nbsp;B)</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Linear algebraic matrix multiplication, A * B</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE>&nbsp;<A HREF="../../../weka/core/matrix/Matrix.html" title="class in weka.core.matrix">Matrix</A></CODE></FONT></TD><TD><CODE><B><A HREF="../../../weka/core/matrix/Matrix.html#timesEquals(double)">timesEquals</A></B>(double&nbsp;s)</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Multiply a matrix by a scalar in place, A = s*A</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE>&nbsp;java.lang.String</CODE></FONT></TD><TD><CODE><B><A HREF="../../../weka/core/matrix/Matrix.html#toMatlab()">toMatlab</A></B>()</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;converts the Matrix into a single line Matlab string: matrix is enclosed  by parentheses, rows are separated by semicolon and single cells by blanks, e.g., [1 2; 3 4].</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE>&nbsp;java.lang.String</CODE></FONT></TD><TD><CODE><B><A HREF="../../../weka/core/matrix/Matrix.html#toString()">toString</A></B>()</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Converts a matrix to a string.</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE>&nbsp;double</CODE></FONT></TD><TD><CODE><B><A HREF="../../../weka/core/matrix/Matrix.html#trace()">trace</A></B>()</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Matrix trace.</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE>&nbsp;<A HREF="../../../weka/core/matrix/Matrix.html" title="class in weka.core.matrix">Matrix</A></CODE></FONT></TD><TD><CODE><B><A HREF="../../../weka/core/matrix/Matrix.html#transpose()">transpose</A></B>()</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Matrix transpose.</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE>&nbsp;<A HREF="../../../weka/core/matrix/Matrix.html" title="class in weka.core.matrix">Matrix</A></CODE></FONT></TD><TD><CODE><B><A HREF="../../../weka/core/matrix/Matrix.html#uminus()">uminus</A></B>()</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Unary minus</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE>&nbsp;void</CODE></FONT></TD><TD><CODE><B><A HREF="../../../weka/core/matrix/Matrix.html#write(java.io.Writer)">write</A></B>(java.io.Writer&nbsp;w)</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Writes out a matrix.</TD></TR></TABLE>&nbsp;<A NAME="methods_inherited_from_class_java.lang.Object"><!-- --></A><TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY=""><TR BGCOLOR="#EEEEFF" CLASS="TableSubHeadingColor"><TH ALIGN="left"><B>Methods inherited from class java.lang.Object</B></TH></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD><CODE>equals, getClass, hashCode, notify, notifyAll, wait, wait, wait</CODE></TD></TR></TABLE>&nbsp;<P><!-- ========= CONSTRUCTOR DETAIL ======== --><A NAME="constructor_detail"><!-- --></A><TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY=""><TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor"><TH ALIGN="left" COLSPAN="1"><FONT SIZE="+2"><B>Constructor Detail</B></FONT></TH></TR></TABLE><A NAME="Matrix(int, int)"><!-- --></A><H3>Matrix</H3><PRE>public <B>Matrix</B>(int&nbsp;m,              int&nbsp;n)</PRE><DL><DD>Construct an m-by-n matrix of zeros.<P><DL><DT><B>Parameters:</B><DD><CODE>m</CODE> - Number of rows.<DD><CODE>n</CODE> - Number of colums.</DL></DL><HR><A NAME="Matrix(int, int, double)"><!-- --></A><H3>Matrix</H3><PRE>public <B>Matrix</B>(int&nbsp;m,              int&nbsp;n,              double&nbsp;s)</PRE><DL><DD>Construct an m-by-n constant matrix.<P><DL><DT><B>Parameters:</B><DD><CODE>m</CODE> - Number of rows.<DD><CODE>n</CODE> - Number of colums.<DD><CODE>s</CODE> - Fill the matrix with this scalar value.</DL></DL><HR><A NAME="Matrix(double[][])"><!-- --></A><H3>Matrix</H3><PRE>public <B>Matrix</B>(double[][]&nbsp;A)</PRE><DL><DD>Construct a matrix from a 2-D array.<P><DL><DT><B>Parameters:</B><DD><CODE>A</CODE> - Two-dimensional array of doubles.<DT><B>Throws:</B><DD><CODE>java.lang.IllegalArgumentException</CODE> - All rows must have the same length<DT><B>See Also:</B><DD><A HREF="../../../weka/core/matrix/Matrix.html#constructWithCopy(double[][])"><CODE>constructWithCopy(double[][])</CODE></A></DL></DL><HR><A NAME="Matrix(double[][], int, int)"><!-- --></A><H3>Matrix</H3><PRE>public <B>Matrix</B>(double[][]&nbsp;A,              int&nbsp;m,              int&nbsp;n)</PRE><DL><DD>Construct a matrix quickly without checking arguments.<P><DL><DT><B>Parameters:</B><DD><CODE>A</CODE> - Two-dimensional array of doubles.<DD><CODE>m</CODE> - Number of rows.<DD><CODE>n</CODE> - Number of colums.</DL></DL><HR><A NAME="Matrix(double[], int)"><!-- --></A><H3>Matrix</H3><PRE>public <B>Matrix</B>(double[]&nbsp;vals,              int&nbsp;m)</PRE><DL><DD>Construct a matrix from a one-dimensional packed array<P><DL><DT><B>Parameters:</B><DD><CODE>vals</CODE> - One-dimensional array of doubles, packed by columns (ala Fortran).<DD><CODE>m</CODE> - Number of rows.<DT><B>Throws:</B><DD><CODE>java.lang.IllegalArgumentException</CODE> - Array length must be a multiple of m.</DL></DL><HR><A NAME="Matrix(java.io.Reader)"><!-- --></A><H3>Matrix</H3><PRE>public <B>Matrix</B>(java.io.Reader&nbsp;r)       throws java.lang.Exception</PRE><DL><DD>Reads a matrix from a reader. The first line in the file should contain the number of rows and columns. Subsequent lines contain elements of the matrix. (FracPete: taken from old weka.core.Matrix class)<P><DL><DT><B>Parameters:</B><DD><CODE>r</CODE> - the reader containing the matrix<DT><B>Throws:</B><DD><CODE>java.lang.Exception</CODE> - if an error occurs<DT><B>See Also:</B><DD><A HREF="../../../weka/core/matrix/Matrix.html#write(java.io.Writer)"><CODE>write(Writer)</CODE></A></DL></DL><!-- ============ METHOD DETAIL ========== --><A NAME="method_detail"><!-- --></A><TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY=""><TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor"><TH ALIGN="left" COLSPAN="1"><FONT SIZE="+2"><B>Method Detail</B></FONT></TH></TR></TABLE><A NAME="constructWithCopy(double[][])"><!-- --></A><H3>constructWithCopy</H3><PRE>public static <A HREF="../../../weka/core/matrix/Matrix.html" title="class in weka.core.matrix">Matrix</A> <B>constructWithCopy</B>(double[][]&nbsp;A)</PRE><DL><DD>Construct a matrix from a copy of a 2-D array.<P><DD><DL></DL></DD><DD><DL><DT><B>Parameters:</B><DD><CODE>A</CODE> - Two-dimensional array of doubles.<DT><B>Throws:</B><DD><CODE>java.lang.IllegalArgumentException</CODE> - All rows must have the same length</DL></DD></DL><HR><A NAME="copy()"><!-- --></A><H3>copy</H3><PRE>public <A HREF="../../../weka/core/matrix/Matrix.html" title="class in weka.core.matrix">Matrix</A> <B>copy</B>()</PRE><DL><DD>Make a deep copy of a matrix<P><DD><DL></DL></DD><DD><DL></DL></DD></DL><HR><A NAME="clone()"><!-- --></A><H3>clone</H3><PRE>public java.lang.Object <B>clone</B>()</PRE><DL><DD>Clone the Matrix object.<P><DD><DL><DT><B>Overrides:</B><DD><CODE>clone</CODE> in class <CODE>java.lang.Object</CODE></DL></DD><DD><DL></DL></DD></DL><HR><A NAME="getArray()"><!-- --></A><H3>getArray</H3><PRE>public double[][] <B>getArray</B>()</PRE><DL><DD>Access the internal two-dimensional array.<P><DD><DL></DL></DD><DD><DL><DT><B>Returns:</B><DD>Pointer to the two-dimensional array of matrix elements.</DL></DD></DL><HR><A NAME="getArrayCopy()"><!-- --></A><H3>getArrayCopy</H3><PRE>public double[][] <B>getArrayCopy</B>()</PRE><DL><DD>Copy the internal two-dimensional array.<P><DD><DL></DL></DD><DD><DL><DT><B>Returns:</B><DD>Two-dimensional array copy of matrix elements.</DL></DD></DL><HR><A NAME="getColumnPackedCopy()"><!-- --></A><H3>getColumnPackedCopy</H3><PRE>public double[] <B>getColumnPackedCopy</B>()</PRE><DL><DD>Make a one-dimensional column packed copy of the internal array.<P><DD><DL></DL></DD><DD><DL><DT><B>Returns:</B><DD>Matrix elements packed in a one-dimensional array by columns.</DL></DD></DL><HR><A NAME="getRowPackedCopy()"><!-- --></A><H3>getRowPackedCopy</H3><PRE>public double[] <B>getRowPackedCopy</B>()</PRE><DL><DD>Make a one-dimensional row packed copy of the internal array.<P><DD><DL></DL></DD><DD><DL><DT><B>Returns:</B><DD>Matrix elements packed in a one-dimensional array by rows.</DL></DD></DL><HR><A NAME="getRowDimension()"><!-- --></A><H3>getRowDimension</H3><PRE>public int <B>getRowDimension</B>()</PRE><DL><DD>Get row dimension.<P><DD><DL></DL></DD><DD><DL><DT><B>Returns:</B><DD>m, the number of rows.</DL></DD></DL><HR><A NAME="getColumnDimension()"><!-- --></A><H3>getColumnDimension</H3><PRE>public int <B>getColumnDimension</B>()</PRE><DL><DD>Get column dimension.<P><DD><DL></DL></DD><DD><DL><DT><B>Returns:</B><DD>n, the number of columns.</DL></DD>

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