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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../weka/classifiers/functions/pace/DoubleVector.html" title="class in weka.classifiers.functions.pace">DoubleVector</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../weka/classifiers/functions/pace/PaceMatrix.html#getColumn(int)">getColumn</A></B>(int&nbsp;j)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Return a DoubleVector that stores a column of the matrix</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../weka/classifiers/functions/pace/DoubleVector.html" title="class in weka.classifiers.functions.pace">DoubleVector</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../weka/classifiers/functions/pace/PaceMatrix.html#getColumn(int, int, int)">getColumn</A></B>(int&nbsp;i0,
          int&nbsp;i1,
          int&nbsp;j)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Return a DoubleVector that stores some elements of a column of the
  matrix</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/classifiers/functions/pace/PaceMatrix.html#h1(int, int)">h1</A></B>(int&nbsp;j,
   int&nbsp;k)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Constructs single Householder transformation for a column</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/classifiers/functions/pace/PaceMatrix.html#h2(int, int, double, weka.classifiers.functions.pace.PaceMatrix, int)">h2</A></B>(int&nbsp;j,
   int&nbsp;k,
   double&nbsp;q,
   <A HREF="../../../../weka/classifiers/functions/pace/PaceMatrix.html" title="class in weka.classifiers.functions.pace">PaceMatrix</A>&nbsp;b,
   int&nbsp;l)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Performs single Householder transformation on one column of a matrix</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;boolean</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../weka/classifiers/functions/pace/PaceMatrix.html#isEmpty()">isEmpty</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Check if the matrix is empty</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="../../../../weka/classifiers/functions/pace/PaceMatrix.html#leastExplainingColumn(weka.classifiers.functions.pace.PaceMatrix, weka.classifiers.functions.pace.IntVector, int, int)">leastExplainingColumn</A></B>(<A HREF="../../../../weka/classifiers/functions/pace/PaceMatrix.html" title="class in weka.classifiers.functions.pace">PaceMatrix</A>&nbsp;b,
                      <A HREF="../../../../weka/classifiers/functions/pace/IntVector.html" title="class in weka.classifiers.functions.pace">IntVector</A>&nbsp;pvt,
                      int&nbsp;ks,
                      int&nbsp;k0)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the index of the column that has the smallest (squared)
  response, when the column is moved to become the (ks-1)-th
  column.</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/classifiers/functions/pace/PaceMatrix.html#lsqr(weka.classifiers.functions.pace.PaceMatrix, weka.classifiers.functions.pace.IntVector, int)">lsqr</A></B>(<A HREF="../../../../weka/classifiers/functions/pace/PaceMatrix.html" title="class in weka.classifiers.functions.pace">PaceMatrix</A>&nbsp;b,
     <A HREF="../../../../weka/classifiers/functions/pace/IntVector.html" title="class in weka.classifiers.functions.pace">IntVector</A>&nbsp;pvt,
     int&nbsp;k0)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;QR transformation for a least squares problem
            A x = b</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/classifiers/functions/pace/PaceMatrix.html#lsqrSelection(weka.classifiers.functions.pace.PaceMatrix, weka.classifiers.functions.pace.IntVector, int)">lsqrSelection</A></B>(<A HREF="../../../../weka/classifiers/functions/pace/PaceMatrix.html" title="class in weka.classifiers.functions.pace">PaceMatrix</A>&nbsp;b,
              <A HREF="../../../../weka/classifiers/functions/pace/IntVector.html" title="class in weka.classifiers.functions.pace">IntVector</A>&nbsp;pvt,
              int&nbsp;k0)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;QR transformation for a least squares problem
            A x = b</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../weka/classifiers/functions/pace/PaceMatrix.html#main(java.lang.String[])">main</A></B>(java.lang.String[]&nbsp;args)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</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/classifiers/functions/pace/PaceMatrix.html#maxAbs()">maxAbs</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the maximum absolute value of all elements</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/classifiers/functions/pace/PaceMatrix.html#maxAbs(int, int, int)">maxAbs</A></B>(int&nbsp;i0,
       int&nbsp;i1,
       int&nbsp;j)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the maximum absolute value of some elements of a column,
      that is, the elements of A[i0:i1][j].</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/classifiers/functions/pace/PaceMatrix.html#minAbs(int, int, int)">minAbs</A></B>(int&nbsp;i0,
       int&nbsp;i1,
       int&nbsp;column)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the minimum absolute value of some elements of a column,
      that is, the elements of A[i0:i1][j].</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="../../../../weka/classifiers/functions/pace/PaceMatrix.html#mostExplainingColumn(weka.classifiers.functions.pace.PaceMatrix, weka.classifiers.functions.pace.IntVector, int)">mostExplainingColumn</A></B>(<A HREF="../../../../weka/classifiers/functions/pace/PaceMatrix.html" title="class in weka.classifiers.functions.pace">PaceMatrix</A>&nbsp;b,
                     <A HREF="../../../../weka/classifiers/functions/pace/IntVector.html" title="class in weka.classifiers.functions.pace">IntVector</A>&nbsp;pvt,
                     int&nbsp;ks)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the index of the column that has the largest (squared)
  response, when each of columns pvt[ks:] is moved to become the
  ks-th column.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../weka/classifiers/functions/pace/DoubleVector.html" title="class in weka.classifiers.functions.pace">DoubleVector</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../weka/classifiers/functions/pace/PaceMatrix.html#nnls(weka.classifiers.functions.pace.PaceMatrix, weka.classifiers.functions.pace.IntVector)">nnls</A></B>(<A HREF="../../../../weka/classifiers/functions/pace/PaceMatrix.html" title="class in weka.classifiers.functions.pace">PaceMatrix</A>&nbsp;b,
     <A HREF="../../../../weka/classifiers/functions/pace/IntVector.html" title="class in weka.classifiers.functions.pace">IntVector</A>&nbsp;pvt)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Solves the nonnegative linear squares problem.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../weka/classifiers/functions/pace/DoubleVector.html" title="class in weka.classifiers.functions.pace">DoubleVector</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../weka/classifiers/functions/pace/PaceMatrix.html#nnlse(weka.classifiers.functions.pace.PaceMatrix, weka.classifiers.functions.pace.PaceMatrix, weka.classifiers.functions.pace.PaceMatrix, weka.classifiers.functions.pace.IntVector)">nnlse</A></B>(<A HREF="../../../../weka/classifiers/functions/pace/PaceMatrix.html" title="class in weka.classifiers.functions.pace">PaceMatrix</A>&nbsp;b,
      <A HREF="../../../../weka/classifiers/functions/pace/PaceMatrix.html" title="class in weka.classifiers.functions.pace">PaceMatrix</A>&nbsp;c,
      <A HREF="../../../../weka/classifiers/functions/pace/PaceMatrix.html" title="class in weka.classifiers.functions.pace">PaceMatrix</A>&nbsp;d,
      <A HREF="../../../../weka/classifiers/functions/pace/IntVector.html" title="class in weka.classifiers.functions.pace">IntVector</A>&nbsp;pvt)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Solves the nonnegative least squares problem with equality
	constraint.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../weka/classifiers/functions/pace/DoubleVector.html" title="class in weka.classifiers.functions.pace">DoubleVector</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../weka/classifiers/functions/pace/PaceMatrix.html#nnlse1(weka.classifiers.functions.pace.PaceMatrix, weka.classifiers.functions.pace.IntVector)">nnlse1</A></B>(<A HREF="../../../../weka/classifiers/functions/pace/PaceMatrix.html" title="class in weka.classifiers.functions.pace">PaceMatrix</A>&nbsp;b,
       <A HREF="../../../../weka/classifiers/functions/pace/IntVector.html" title="class in weka.classifiers.functions.pace">IntVector</A>&nbsp;pvt)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Solves the nonnegative least squares problem with equality
	constraint.</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/classifiers/functions/pace/PaceMatrix.html#positiveDiagonal(weka.classifiers.functions.pace.PaceMatrix, weka.classifiers.functions.pace.IntVector)">positiveDiagonal</A></B>(<A HREF="../../../../weka/classifiers/functions/pace/PaceMatrix.html" title="class in weka.classifiers.functions.pace">PaceMatrix</A>&nbsp;Y,
                 <A HREF="../../../../weka/classifiers/functions/pace/IntVector.html" title="class in weka.classifiers.functions.pace">IntVector</A>&nbsp;pvt)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Sets all diagonal elements to be positive (or nonnegative) without
 changing the least squares solution</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;<A HREF="../../../../weka/classifiers/functions/pace/Matrix.html" title="class in weka.classifiers.functions.pace">Matrix</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../weka/classifiers/functions/pace/PaceMatrix.html#randomNormal(int, int)">randomNormal</A></B>(int&nbsp;m,
             int&nbsp;n)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Generate matrix with standard-normally distributed random elements</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../weka/classifiers/functions/pace/PaceMatrix.html" title="class in weka.classifiers.functions.pace">PaceMatrix</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../weka/classifiers/functions/pace/PaceMatrix.html#rbind(weka.classifiers.functions.pace.PaceMatrix)">rbind</A></B>(<A HREF="../../../../weka/classifiers/functions/pace/PaceMatrix.html" title="class in weka.classifiers.functions.pace">PaceMatrix</A>&nbsp;b)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns a new matrix which binds two matrices together with rows.</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/classifiers/functions/pace/PaceMatrix.html#rsolve(weka.classifiers.functions.pace.PaceMatrix, weka.classifiers.functions.pace.IntVector, int)">rsolve</A></B>(<A HREF="../../../../weka/classifiers/functions/pace/PaceMatrix.html" title="class in weka.classifiers.functions.pace">PaceMatrix</A>&nbsp;b,
       <A HREF="../../../../weka/classifiers/functions/pace/IntVector.html" title="class in weka.classifiers.functions.pace">IntVector</A>&nbsp;pvt,
       int&nbsp;kp)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Solves upper-triangular equation
   	R x = b</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/classifiers/functions/pace/PaceMatrix.html#setColumnDimension(int)">setColumnDimension</A></B>(int&nbsp;columnDimension)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Set the column dimenion of the matrix</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/classifiers/functions/pace/PaceMatrix.html#setMatrix(double[], boolean)">setMatrix</A></B>(double[]&nbsp;v,
          boolean&nbsp;columnFirst)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Set the whole matrix from a 1-D array</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/classifiers/functions/pace/PaceMatrix.html#setMatrix(int, int, int, weka.classifiers.functions.pace.DoubleVector)">setMatrix</A></B>(int&nbsp;i0,
          int&nbsp;i1,
          int&nbsp;j,
          <A HREF="../../../../weka/classifiers/functions/pace/DoubleVector.html" title="class in weka.classifiers.functions.pace">DoubleVector</A>&nbsp;v)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Set the submatrix A[i0:i1][j] with the values stored in a
  DoubleVector</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/classifiers/functions/pace/PaceMatrix.html#setMatrix(int, int, int, int, double)">setMatrix</A></B>(int&nbsp;i0,
          int&nbsp;i1,
          int&nbsp;j0,
          int&nbsp;j1,
          double&nbsp;s)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Set the submatrix A[i0:i1][j0:j1] with a same value</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/classifiers/functions/pace/PaceMatrix.html#setPlus(int, int, double)">setPlus</A></B>(int&nbsp;i,
        int&nbsp;j,
        double&nbsp;s)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Add a value to an element and reset the element</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;void</CODE></FONT></TD>