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SmpBlas (Colt 1.2.0 - API Specification)
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cern.colt.matrix.linalg</FONT>
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Class SmpBlas</H2>
<PRE>
<A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/Object.html" title="class or interface in java.lang">java.lang.Object</A>
<IMG SRC="../../../../resources/inherit.gif" ALT="extended by"><B>cern.colt.matrix.linalg.SmpBlas</B>
</PRE>
<DL>
<DT><B>All Implemented Interfaces:</B> <DD><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></DD>
</DL>
<HR>
<DL>
<DT>public class <B>SmpBlas</B><DT>extends <A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/Object.html" title="class or interface in java.lang">Object</A><DT>implements <A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></DL>
<P>
Parallel implementation of the Basic Linear Algebra System for symmetric multi processing boxes.
Currently only a few algorithms are parallelised; the others are fully functional, but run in sequential mode.
Parallelised are:
<ul>
<li><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#dgemm(boolean, boolean, double, cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix2D, double, cern.colt.matrix.DoubleMatrix2D)"><CODE>dgemm</CODE></A> (matrix-matrix multiplication)</li>
<li><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#dgemv(boolean, double, cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix1D, double, cern.colt.matrix.DoubleMatrix1D)"><CODE>dgemv</CODE></A> (matrix-vector multiplication)</li>
<li><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#assign(cern.colt.matrix.DoubleMatrix2D, cern.colt.function.DoubleFunction)"><CODE>assign(A,function)</CODE></A> (generalized matrix scaling/transform): Strong speedup only for expensive functions like logarithm, sin, etc.</li>
<li><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#assign(cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix2D, cern.colt.function.DoubleDoubleFunction)"><CODE>assign(A,B,function)</CODE></A> (generalized matrix scaling/transform): Strong speedup only for expensive functions like pow etc.</li>
</ul>
In all cases, no or only marginal speedup is seen for small problem sizes; they are detected and the sequential algorithm is used.
<h4>Usage</h4>
Call the static method <A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#allocateBlas(int, cern.colt.matrix.linalg.Blas)"><CODE>allocateBlas(int, cern.colt.matrix.linalg.Blas)</CODE></A> at the very beginning of your program, supplying the main parameter for SmpBlas, the number of available CPUs.
The method sets the public global variable <tt>SmpBlas.smpBlas</tt> to a blas using a maximum of <tt>CPUs</tt> threads, each concurrently processing matrix blocks with the given sequential blas algorithms.
Normally there is no need to call <tt>allocateBlas</tt> more than once.
Then use <tt>SmpBlas.smpBlas.someRoutine(...)</tt> to run <tt>someRoutine</tt> in parallel.
E.g.
<table>
<td class="PRE">
<pre>
int cpu_s = 4;
SmpBlas.allocateBlas(cpu_s, SeqBlas.seqBlas);
...
SmpBlas.smpBlas.dgemm(...)
SmpBlas.smpBlas.dgemv(...)
</pre>
</td>
</table>
Even if you don't call a blas routine yourself, it often makes sense to allocate a SmpBlas, because other matrix library routines sometimes call the blas.
So if you're lucky, you get parallel performance for free.
<h4>Notes</h4>
<ul>
<li>Unfortunately, there is no portable means of automatically detecting the
number of CPUs on a JVM, so there is no good way to automate defaults.</li>
<li>Only improves performance on boxes with > 1 CPUs and VMs with <b>native threads</b>.</li>
<li>Currently only improves performance when working on dense matrix types. On sparse types, performance is likely to degrade (because of the implementation of sub-range views)!</li>
<li>Implemented using Doug Lea's fast lightweight task framework (<A HREF="http://dsd.lbl.gov/~hoschek/javatree/share/misc/concurrent-1.3.4/doc/EDU/oswego/cs/dl/util/concurrent/package-summary.html"><CODE>EDU.oswego.cs.dl.util.concurrent</CODE></A>) built upon Java threads, and geared for parallel computation.</li>
</ul>
<P>
<P>
<DL>
<DT><B>Version:</B></DT>
<DD>0.9, 16/04/2000</DD>
<DT><B>See Also:</B><DD><A HREF="http://dsd.lbl.gov/~hoschek/javatree/share/misc/concurrent-1.3.4/doc/EDU/oswego/cs/dl/util/concurrent/FJTaskRunnerGroup.html" title="class or interface in EDU.oswego.cs.dl.util.concurrent"><CODE>FJTaskRunnerGroup</CODE></A>,
<A HREF="http://dsd.lbl.gov/~hoschek/javatree/share/misc/concurrent-1.3.4/doc/EDU/oswego/cs/dl/util/concurrent/FJTask.html" title="class or interface in EDU.oswego.cs.dl.util.concurrent"><CODE>FJTask</CODE></A></DL>
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<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static <A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#smpBlas">smpBlas</A></B></CODE>
<BR>
The public global parallel blas; initialized via <A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#allocateBlas(int, cern.colt.matrix.linalg.Blas)"><CODE>allocateBlas(int, cern.colt.matrix.linalg.Blas)</CODE></A>.</TD>
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<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#allocateBlas(int, cern.colt.matrix.linalg.Blas)">allocateBlas</A></B>(int maxThreads,
<A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A> seqBlas)</CODE>
<BR>
Sets the public global variable <tt>SmpBlas.smpBlas</tt> to a blas using a maximum of <tt>maxThreads</tt> threads, each executing the given sequential algorithm; <tt>maxThreads</tt> is normally the number of CPUs.</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#assign(cern.colt.matrix.DoubleMatrix2D, cern.colt.function.DoubleFunction)">assign</A></B>(<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> A,
<A HREF="../../../../cern/colt/function/DoubleFunction.html" title="interface in cern.colt.function">DoubleFunction</A> function)</CODE>
<BR>
Assigns the result of a function to each cell; <tt>x[row,col] = function(x[row,col])</tt>.</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#assign(cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix2D, cern.colt.function.DoubleDoubleFunction)">assign</A></B>(<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> A,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> B,
<A HREF="../../../../cern/colt/function/DoubleDoubleFunction.html" title="interface in cern.colt.function">DoubleDoubleFunction</A> function)</CODE>
<BR>
Assigns the result of a function to each cell; <tt>x[row,col] = function(x[row,col],y[row,col])</tt>.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#dasum(cern.colt.matrix.DoubleMatrix1D)">dasum</A></B>(<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x)</CODE>
<BR>
Returns the sum of absolute values; <tt>|x[0]| + |x[1]| + ...</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#daxpy(double, cern.colt.matrix.DoubleMatrix1D, cern.colt.matrix.DoubleMatrix1D)">daxpy</A></B>(double alpha,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> y)</CODE>
<BR>
Combined vector scaling; <tt>y = y + alpha*x</tt>.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#daxpy(double, cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix2D)">daxpy</A></B>(double alpha,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> A,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> B)</CODE>
<BR>
Combined matrix scaling; <tt>B = B + alpha*A</tt>.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#dcopy(cern.colt.matrix.DoubleMatrix1D, cern.colt.matrix.DoubleMatrix1D)">dcopy</A></B>(<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> y)</CODE>
<BR>
Vector assignment (copying); <tt>y = x</tt>.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#dcopy(cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix2D)">dcopy</A></B>(<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> A,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> B)</CODE>
<BR>
Matrix assignment (copying); <tt>B = A</tt>.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#ddot(cern.colt.matrix.DoubleMatrix1D, cern.colt.matrix.DoubleMatrix1D)">ddot</A></B>(<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> y)</CODE>
<BR>
Returns the dot product of two vectors x and y, which is <tt>Sum(x[i]*y[i])</tt>.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#dgemm(boolean, boolean, double, cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix2D, double, cern.colt.matrix.DoubleMatrix2D)">dgemm</A></B>(boolean transposeA,
boolean transposeB,
double alpha,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> A,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> B,
double beta,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> C)</CODE>
<BR>
Generalized linear algebraic matrix-matrix multiply; <tt>C = alpha*A*B + beta*C</tt>.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#dgemv(boolean, double, cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix1D, double, cern.colt.matrix.DoubleMatrix1D)">dgemv</A></B>(boolean transposeA,
double alpha,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> A,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x,
double beta,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> y)</CODE>
<BR>
Generalized linear algebraic matrix-vector multiply; <tt>y = alpha*A*x + beta*y</tt>.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#dger(double, cern.colt.matrix.DoubleMatrix1D, cern.colt.matrix.DoubleMatrix1D, cern.colt.matrix.DoubleMatrix2D)">dger</A></B>(double alpha,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> y,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> A)</CODE>
<BR>
Performs a rank 1 update; <tt>A = A + alpha*x*y'</tt>.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#dnrm2(cern.colt.matrix.DoubleMatrix1D)">dnrm2</A></B>(<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x)</CODE>
<BR>
Return the 2-norm; <tt>sqrt(x[0]^2 + x[1]^2 + ...)</tt>.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#drot(cern.colt.matrix.DoubleMatrix1D, cern.colt.matrix.DoubleMatrix1D, double, double)">drot</A></B>(<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> y,
double c,
double s)</CODE>
<BR>
Applies a givens plane rotation to (x,y); <tt>x = c*x + s*y; y = c*y - s*x</tt>.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#drotg(double, double, double[])">drotg</A></B>(double a,
double b,
double[] rotvec)</CODE>
<BR>
Constructs a Givens plane rotation for <tt>(a,b)</tt>.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#dscal(double, cern.colt.matrix.DoubleMatrix1D)">dscal</A></B>(double alpha,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x)</CODE>
<BR>
Vector scaling; <tt>x = alpha*x</tt>.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#dscal(double, cern.colt.matrix.DoubleMatrix2D)">dscal</A></B>(double alpha,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> A)</CODE>
<BR>
Matrix scaling; <tt>A = alpha*A</tt>.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#dswap(cern.colt.matrix.DoubleMatrix1D, cern.colt.matrix.DoubleMatrix1D)">dswap</A></B>(<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> y)</CODE>
<BR>
Swaps the elements of two vectors; <tt>y <==> x</tt>.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#dswap(cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix2D)">dswap</A></B>(<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> A,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> B)</CODE>
<BR>
Swaps the elements of two matrices; <tt>B <==> A</tt>.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#dsymv(boolean, double, cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix1D, double, cern.colt.matrix.DoubleMatrix1D)">dsymv</A></B>(boolean isUpperTriangular,
double alpha,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> A,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x,
double beta,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> y)</CODE>
<BR>
Symmetric matrix-vector multiplication; <tt>y = alpha*A*x + beta*y</tt>.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#dtrmv(boolean, boolean, boolean, cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix1D)">dtrmv</A></B>(boolean isUpperTriangular,
boolean transposeA,
boolean isUnitTriangular,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> A,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x)</CODE>
<BR>
Triangular matrix-vector multiplication; <tt>x = A*x</tt> or <tt>x = A'*x</tt>.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> int</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#idamax(cern.colt.matrix.DoubleMatrix1D)">idamax</A></B>(<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x)</CODE>
<BR>
Returns the index of largest absolute value; <tt>i such that |x[i]| == max(|x[0]|,|x[1]|,...).</tt>.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#stats()">stats</A></B>()</CODE>
<BR>
Prints various snapshot statistics to System.out; Simply delegates to <A HREF="http://dsd.lbl.gov/~hoschek/javatree/share/misc/concurrent-1.3.4/doc/EDU/oswego/cs/dl/util/concurrent/FJTaskRunnerGroup.html#stats()" title="class or interface in EDU.oswego.cs.dl.util.concurrent"><CODE>FJTaskRunnerGroup.stats()</CODE></A>.</TD>
</TR>
</TABLE>
<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">
<TD><B>Methods inherited from class java.lang.<A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/Object.html" title="class or interface in java.lang">Object</A></B></TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/Object.html#equals(java.lang.Object)" title="class or interface in java.lang">equals</A>, <A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/Object.html#getClass()" title="class or interface in java.lang">getClass</A>, <A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/Object.html#hashCode()" title="class or interface in java.lang">hashCode</A>, <A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/Object.html#notify()" title="class or interface in java.lang">notify</A>, <A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/Object.html#notifyAll()" title="class or interface in java.lang">notifyAll</A>, <A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/Object.html#toString()" title="class or interface in java.lang">toString</A>, <A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/Object.html#wait()" title="class or interface in java.lang">wait</A>, <A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/Object.html#wait(long)" title="class or interface in java.lang">wait</A>, <A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/Object.html#wait(long, int)" title="class or interface in java.lang">wait</A></CODE></TD>
</TR>
</TABLE>
<P>
<!-- ============ FIELD DETAIL =========== -->
<A NAME="field_detail"><!-- --></A>
<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
<TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor">
<TD COLSPAN=1><FONT SIZE="+2">
<B>Field Detail</B></FONT></TD>
</TR>
</TABLE>
<A NAME="smpBlas"><!-- --></A><H3>
smpBlas</H3>
<PRE>
public static <A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A> <B>smpBlas</B></PRE>
<DL>
<DD>The public global parallel blas; initialized via <A HREF="../../../../cern/colt/matrix/linalg/SmpBlas.html#allocateBlas(int, cern.colt.matrix.linalg.Blas)"><CODE>allocateBlas(int, cern.colt.matrix.linalg.Blas)</CODE></A>.
Do not modify this variable via other means (it is public).
<P>
<DL>
</DL>
</DL>
<!-- ========= CONSTRUCTOR DETAIL ======== -->
<!-- ============ METHOD DETAIL ========== -->
<A NAME="method_detail"><!-- --></A>
<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
<TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor">
<TD COLSPAN=1><FONT SIZE="+2">
<B>Method Detail</B></FONT></TD>
</TR>
</TABLE>
<A NAME="allocateBlas(int, cern.colt.matrix.linalg.Blas)"><!-- --></A><H3>
allocateBlas</H3>
<PRE>
public static void <B>allocateBlas</B>(int maxThreads,
<A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A> seqBlas)</PRE>
<DL>
<DD>Sets the public global variable <tt>SmpBlas.smpBlas</tt> to a blas using a maximum of <tt>maxThreads</tt> threads, each executing the given sequential algorithm; <tt>maxThreads</tt> is normally the number of CPUs.
Call this method at the very beginning of your program.
Normally there is no need to call this method more than once.
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>maxThreads</CODE> - the maximum number of threads (= CPUs) to be used<DD><CODE>seqBlas</CODE> - the sequential blas algorithms to be used on concurrently processed matrix blocks.</DL>
</DD>
</DL>
<HR>
<A NAME="assign(cern.colt.matrix.DoubleMatrix2D, cern.colt.function.DoubleFunction)"><!-- --></A><H3>
assign</H3>
<PRE>
public void <B>assign</B>(<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> A,
<A HREF="../../../../cern/colt/function/DoubleFunction.html" title="interface in cern.colt.function">DoubleFunction</A> function)</PRE>
<DL>
<DD><B>Description copied from interface: <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></B></DD>
<DD>Assigns the result of a function to each cell; <tt>x[row,col] = function(x[row,col])</tt>.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html#assign(cern.colt.matrix.DoubleMatrix2D, cern.colt.function.DoubleFunction)">assign</A></CODE> in interface <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>A</CODE> - the matrix to modify.<DD><CODE>function</CODE> - a function object taking as argument the current cell's value.<DT><B>See Also:</B><DD><A HREF="../../../../cern/jet/math/Functions.html" title="class in cern.jet.math"><CODE>Functions</CODE></A></DL>
</DD>
</DL>
<HR>
<A NAME="assign(cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix2D, cern.colt.function.DoubleDoubleFunction)"><!-- --></A><H3>
assign</H3>
<PRE>
public void <B>assign</B>(<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> A,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> B,
<A HREF="../../../../cern/colt/function/DoubleDoubleFunction.html" title="interface in cern.colt.function">DoubleDoubleFunction</A> function)</PRE>
<DL>
<DD><B>Description copied from interface: <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></B></DD>
<DD>Assigns the result of a function to each cell; <tt>x[row,col] = function(x[row,col],y[row,col])</tt>.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html#assign(cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix2D, cern.colt.function.DoubleDoubleFunction)">assign</A></CODE> in interface <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>A</CODE> - the matrix to modify.<DD><CODE>B</CODE> - the secondary matrix to operate on.<DD><CODE>function</CODE> - a function object taking as first argument the current cell's value of <tt>this</tt>,
and as second argument the current cell's value of <tt>y</tt>,
<DT><B>Returns:</B><DD><tt>this</tt> (for convenience only).<DT><B>See Also:</B><DD><A HREF="../../../../cern/jet/math/Functions.html" title="class in cern.jet.math"><CODE>Functions</CODE></A></DL>
</DD>
</DL>
<HR>
<A NAME="dasum(cern.colt.matrix.DoubleMatrix1D)"><!-- --></A><H3>
dasum</H3>
<PRE>
public double <B>dasum</B>(<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x)</PRE>
<DL>
<DD><B>Description copied from interface: <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></B></DD>
<DD>Returns the sum of absolute values; <tt>|x[0]| + |x[1]| + ... </tt>.
In fact equivalent to <tt>x.aggregate(cern.jet.math.Functions.plus, cern.jet.math.Functions.abs)</tt>.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html#dasum(cern.colt.matrix.DoubleMatrix1D)">dasum</A></CODE> in interface <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>x</CODE> - the first vector.</DL>
</DD>
</DL>
<HR>
<A NAME="daxpy(double, cern.colt.matrix.DoubleMatrix1D, cern.colt.matrix.DoubleMatrix1D)"><!-- --></A><H3>
daxpy</H3>
<PRE>
public void <B>daxpy</B>(double alpha,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> y)</PRE>
<DL>
<DD><B>Description copied from interface: <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></B></DD>
<DD>Combined vector scaling; <tt>y = y + alpha*x</tt>.
In fact equivalent to <tt>y.assign(x,cern.jet.math.Functions.plusMult(alpha))</tt>.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html#daxpy(double, cern.colt.matrix.DoubleMatrix1D, cern.colt.matrix.DoubleMatrix1D)">daxpy</A></CODE> in interface <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>alpha</CODE> - a scale factor.<DD><CODE>x</CODE> - the first source vector.<DD><CODE>y</CODE> - the second source vector, this is also the vector where results are stored.</DL>
</DD>
</DL>
<HR>
<A NAME="daxpy(double, cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix2D)"><!-- --></A><H3>
daxpy</H3>
<PRE>
public void <B>daxpy</B>(double alpha,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> A,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> B)</PRE>
<DL>
<DD><B>Description copied from interface: <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></B></DD>
<DD>Combined matrix scaling; <tt>B = B + alpha*A</tt>.
In fact equivalent to <tt>B.assign(A,cern.jet.math.Functions.plusMult(alpha))</tt>.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html#daxpy(double, cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix2D)">daxpy</A></CODE> in interface <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>alpha</CODE> - a scale factor.<DD><CODE>A</CODE> - the first source matrix.<DD><CODE>B</CODE> - the second source matrix, this is also the matrix where results are stored.</DL>
</DD>
</DL>
<HR>
<A NAME="dcopy(cern.colt.matrix.DoubleMatrix1D, cern.colt.matrix.DoubleMatrix1D)"><!-- --></A><H3>
dcopy</H3>
<PRE>
public void <B>dcopy</B>(<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> y)</PRE>
<DL>
<DD><B>Description copied from interface: <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></B></DD>
<DD>Vector assignment (copying); <tt>y = x</tt>.
In fact equivalent to <tt>y.assign(x)</tt>.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html#dcopy(cern.colt.matrix.DoubleMatrix1D, cern.colt.matrix.DoubleMatrix1D)">dcopy</A></CODE> in interface <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>x</CODE> - the source vector.<DD><CODE>y</CODE> - the destination vector.</DL>
</DD>
</DL>
<HR>
<A NAME="dcopy(cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix2D)"><!-- --></A><H3>
dcopy</H3>
<PRE>
public void <B>dcopy</B>(<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> A,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> B)</PRE>
<DL>
<DD><B>Description copied from interface: <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></B></DD>
<DD>Matrix assignment (copying); <tt>B = A</tt>.
In fact equivalent to <tt>B.assign(A)</tt>.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html#dcopy(cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix2D)">dcopy</A></CODE> in interface <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>A</CODE> - the source matrix.<DD><CODE>B</CODE> - the destination matrix.</DL>
</DD>
</DL>
<HR>
<A NAME="ddot(cern.colt.matrix.DoubleMatrix1D, cern.colt.matrix.DoubleMatrix1D)"><!-- --></A><H3>
ddot</H3>
<PRE>
public double <B>ddot</B>(<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> y)</PRE>
<DL>
<DD><B>Description copied from interface: <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></B></DD>
<DD>Returns the dot product of two vectors x and y, which is <tt>Sum(x[i]*y[i])</tt>.
In fact equivalent to <tt>x.zDotProduct(y)</tt>.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html#ddot(cern.colt.matrix.DoubleMatrix1D, cern.colt.matrix.DoubleMatrix1D)">ddot</A></CODE> in interface <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>x</CODE> - the first vector.<DD><CODE>y</CODE> - the second vector.
<DT><B>Returns:</B><DD>the sum of products.</DL>
</DD>
</DL>
<HR>
<A NAME="dgemm(boolean, boolean, double, cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix2D, double, cern.colt.matrix.DoubleMatrix2D)"><!-- --></A><H3>
dgemm</H3>
<PRE>
public void <B>dgemm</B>(boolean transposeA,
boolean transposeB,
double alpha,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> A,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> B,
double beta,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> C)</PRE>
<DL>
<DD><B>Description copied from interface: <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></B></DD>
<DD>Generalized linear algebraic matrix-matrix multiply; <tt>C = alpha*A*B + beta*C</tt>.
In fact equivalent to <tt>A.zMult(B,C,alpha,beta,transposeA,transposeB)</tt>.
Note: Matrix shape conformance is checked <i>after</i> potential transpositions.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html#dgemm(boolean, boolean, double, cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix2D, double, cern.colt.matrix.DoubleMatrix2D)">dgemm</A></CODE> in interface <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>transposeA</CODE> - set this flag to indicate that the multiplication shall be performed on A'.<DD><CODE>transposeB</CODE> - set this flag to indicate that the multiplication shall be performed on B'.<DD><CODE>alpha</CODE> - a scale factor.<DD><CODE>A</CODE> - the first source matrix.<DD><CODE>B</CODE> - the second source matrix.<DD><CODE>beta</CODE> - a scale factor.<DD><CODE>C</CODE> - the third source matrix, this is also the matrix where results are stored.</DL>
</DD>
</DL>
<HR>
<A NAME="dgemv(boolean, double, cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix1D, double, cern.colt.matrix.DoubleMatrix1D)"><!-- --></A><H3>
dgemv</H3>
<PRE>
public void <B>dgemv</B>(boolean transposeA,
double alpha,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> A,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x,
double beta,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> y)</PRE>
<DL>
<DD><B>Description copied from interface: <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></B></DD>
<DD>Generalized linear algebraic matrix-vector multiply; <tt>y = alpha*A*x + beta*y</tt>.
In fact equivalent to <tt>A.zMult(x,y,alpha,beta,transposeA)</tt>.
Note: Matrix shape conformance is checked <i>after</i> potential transpositions.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html#dgemv(boolean, double, cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix1D, double, cern.colt.matrix.DoubleMatrix1D)">dgemv</A></CODE> in interface <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>transposeA</CODE> - set this flag to indicate that the multiplication shall be performed on A'.<DD><CODE>alpha</CODE> - a scale factor.<DD><CODE>A</CODE> - the source matrix.<DD><CODE>x</CODE> - the first source vector.<DD><CODE>beta</CODE> - a scale factor.<DD><CODE>y</CODE> - the second source vector, this is also the vector where results are stored.</DL>
</DD>
</DL>
<HR>
<A NAME="dger(double, cern.colt.matrix.DoubleMatrix1D, cern.colt.matrix.DoubleMatrix1D, cern.colt.matrix.DoubleMatrix2D)"><!-- --></A><H3>
dger</H3>
<PRE>
public void <B>dger</B>(double alpha,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> y,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> A)</PRE>
<DL>
<DD><B>Description copied from interface: <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></B></DD>
<DD>Performs a rank 1 update; <tt>A = A + alpha*x*y'</tt>.
Example:
<pre>
A = { {6,5}, {7,6} }, x = {1,2}, y = {3,4}, alpha = 1 -->
A = { {9,9}, {13,14} }
</pre>
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html#dger(double, cern.colt.matrix.DoubleMatrix1D, cern.colt.matrix.DoubleMatrix1D, cern.colt.matrix.DoubleMatrix2D)">dger</A></CODE> in interface <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>alpha</CODE> - a scalar.<DD><CODE>x</CODE> - an m element vector.<DD><CODE>y</CODE> - an n element vector.<DD><CODE>A</CODE> - an m by n matrix.</DL>
</DD>
</DL>
<HR>
<A NAME="dnrm2(cern.colt.matrix.DoubleMatrix1D)"><!-- --></A><H3>
dnrm2</H3>
<PRE>
public double <B>dnrm2</B>(<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x)</PRE>
<DL>
<DD><B>Description copied from interface: <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></B></DD>
<DD>Return the 2-norm; <tt>sqrt(x[0]^2 + x[1]^2 + ...)</tt>.
In fact equivalent to <tt>Math.sqrt(Algebra.DEFAULT.norm2(x))</tt>.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html#dnrm2(cern.colt.matrix.DoubleMatrix1D)">dnrm2</A></CODE> in interface <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>x</CODE> - the vector.</DL>
</DD>
</DL>
<HR>
<A NAME="drot(cern.colt.matrix.DoubleMatrix1D, cern.colt.matrix.DoubleMatrix1D, double, double)"><!-- --></A><H3>
drot</H3>
<PRE>
public void <B>drot</B>(<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> y,
double c,
double s)</PRE>
<DL>
<DD><B>Description copied from interface: <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></B></DD>
<DD>Applies a givens plane rotation to (x,y); <tt>x = c*x + s*y; y = c*y - s*x</tt>.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html#drot(cern.colt.matrix.DoubleMatrix1D, cern.colt.matrix.DoubleMatrix1D, double, double)">drot</A></CODE> in interface <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>x</CODE> - the first vector.<DD><CODE>y</CODE> - the second vector.<DD><CODE>c</CODE> - the cosine of the angle of rotation.<DD><CODE>s</CODE> - the sine of the angle of rotation.</DL>
</DD>
</DL>
<HR>
<A NAME="drotg(double, double, double[])"><!-- --></A><H3>
drotg</H3>
<PRE>
public void <B>drotg</B>(double a,
double b,
double[] rotvec)</PRE>
<DL>
<DD><B>Description copied from interface: <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></B></DD>
<DD>Constructs a Givens plane rotation for <tt>(a,b)</tt>.
Taken from the LINPACK translation from FORTRAN to Java, interface slightly modified.
In the LINPACK listing DROTG is attributed to Jack Dongarra
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html#drotg(double, double, double[])">drotg</A></CODE> in interface <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>a</CODE> - rotational elimination parameter a.<DD><CODE>b</CODE> - rotational elimination parameter b.</DL>
</DD>
</DL>
<HR>
<A NAME="dscal(double, cern.colt.matrix.DoubleMatrix1D)"><!-- --></A><H3>
dscal</H3>
<PRE>
public void <B>dscal</B>(double alpha,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x)</PRE>
<DL>
<DD><B>Description copied from interface: <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></B></DD>
<DD>Vector scaling; <tt>x = alpha*x</tt>.
In fact equivalent to <tt>x.assign(cern.jet.math.Functions.mult(alpha))</tt>.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html#dscal(double, cern.colt.matrix.DoubleMatrix1D)">dscal</A></CODE> in interface <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>alpha</CODE> - a scale factor.<DD><CODE>x</CODE> - the first vector.</DL>
</DD>
</DL>
<HR>
<A NAME="dscal(double, cern.colt.matrix.DoubleMatrix2D)"><!-- --></A><H3>
dscal</H3>
<PRE>
public void <B>dscal</B>(double alpha,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> A)</PRE>
<DL>
<DD><B>Description copied from interface: <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></B></DD>
<DD>Matrix scaling; <tt>A = alpha*A</tt>.
In fact equivalent to <tt>A.assign(cern.jet.math.Functions.mult(alpha))</tt>.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html#dscal(double, cern.colt.matrix.DoubleMatrix2D)">dscal</A></CODE> in interface <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>alpha</CODE> - a scale factor.<DD><CODE>A</CODE> - the matrix.</DL>
</DD>
</DL>
<HR>
<A NAME="dswap(cern.colt.matrix.DoubleMatrix1D, cern.colt.matrix.DoubleMatrix1D)"><!-- --></A><H3>
dswap</H3>
<PRE>
public void <B>dswap</B>(<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> y)</PRE>
<DL>
<DD><B>Description copied from interface: <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></B></DD>
<DD>Swaps the elements of two vectors; <tt>y <==> x</tt>.
In fact equivalent to <tt>y.swap(x)</tt>.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html#dswap(cern.colt.matrix.DoubleMatrix1D, cern.colt.matrix.DoubleMatrix1D)">dswap</A></CODE> in interface <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>x</CODE> - the first vector.<DD><CODE>y</CODE> - the second vector.</DL>
</DD>
</DL>
<HR>
<A NAME="dswap(cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix2D)"><!-- --></A><H3>
dswap</H3>
<PRE>
public void <B>dswap</B>(<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> A,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> B)</PRE>
<DL>
<DD><B>Description copied from interface: <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></B></DD>
<DD>Swaps the elements of two matrices; <tt>B <==> A</tt>.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html#dswap(cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix2D)">dswap</A></CODE> in interface <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></DL>
</DD>
<DD><DL>
</DL>
</DD>
</DL>
<HR>
<A NAME="dsymv(boolean, double, cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix1D, double, cern.colt.matrix.DoubleMatrix1D)"><!-- --></A><H3>
dsymv</H3>
<PRE>
public void <B>dsymv</B>(boolean isUpperTriangular,
double alpha,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> A,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x,
double beta,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> y)</PRE>
<DL>
<DD><B>Description copied from interface: <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></B></DD>
<DD>Symmetric matrix-vector multiplication; <tt>y = alpha*A*x + beta*y</tt>.
Where alpha and beta are scalars, x and y are n element vectors and
A is an n by n symmetric matrix.
A can be in upper or lower triangular format.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html#dsymv(boolean, double, cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix1D, double, cern.colt.matrix.DoubleMatrix1D)">dsymv</A></CODE> in interface <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>isUpperTriangular</CODE> - is A upper triangular or lower triangular part to be used?<DD><CODE>alpha</CODE> - scaling factor.<DD><CODE>A</CODE> - the source matrix.<DD><CODE>x</CODE> - the first source vector.<DD><CODE>beta</CODE> - scaling factor.<DD><CODE>y</CODE> - the second vector holding source and destination.</DL>
</DD>
</DL>
<HR>
<A NAME="dtrmv(boolean, boolean, boolean, cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix1D)"><!-- --></A><H3>
dtrmv</H3>
<PRE>
public void <B>dtrmv</B>(boolean isUpperTriangular,
boolean transposeA,
boolean isUnitTriangular,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix2D.html" title="class in cern.colt.matrix">DoubleMatrix2D</A> A,
<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x)</PRE>
<DL>
<DD><B>Description copied from interface: <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></B></DD>
<DD>Triangular matrix-vector multiplication; <tt>x = A*x</tt> or <tt>x = A'*x</tt>.
Where x is an n element vector and A is an n by n unit, or non-unit,
upper or lower triangular matrix.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html#dtrmv(boolean, boolean, boolean, cern.colt.matrix.DoubleMatrix2D, cern.colt.matrix.DoubleMatrix1D)">dtrmv</A></CODE> in interface <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>isUpperTriangular</CODE> - is A upper triangular or lower triangular?<DD><CODE>transposeA</CODE> - set this flag to indicate that the multiplication shall be performed on A'.<DD><CODE>isUnitTriangular</CODE> - true --> A is assumed to be unit triangular; false --> A is not assumed to be unit triangular<DD><CODE>A</CODE> - the source matrix.<DD><CODE>x</CODE> - the vector holding source and destination.</DL>
</DD>
</DL>
<HR>
<A NAME="idamax(cern.colt.matrix.DoubleMatrix1D)"><!-- --></A><H3>
idamax</H3>
<PRE>
public int <B>idamax</B>(<A HREF="../../../../cern/colt/matrix/DoubleMatrix1D.html" title="class in cern.colt.matrix">DoubleMatrix1D</A> x)</PRE>
<DL>
<DD><B>Description copied from interface: <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></B></DD>
<DD>Returns the index of largest absolute value; <tt>i such that |x[i]| == max(|x[0]|,|x[1]|,...).</tt>.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html#idamax(cern.colt.matrix.DoubleMatrix1D)">idamax</A></CODE> in interface <CODE><A HREF="../../../../cern/colt/matrix/linalg/Blas.html" title="interface in cern.colt.matrix.linalg">Blas</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>x</CODE> - the vector to search through.
<DT><B>Returns:</B><DD>the index of largest absolute value (-1 if x is empty).</DL>
</DD>
</DL>
<HR>
<A NAME="stats()"><!-- --></A><H3>
stats</H3>
<PRE>
public void <B>stats</B>()</PRE>
<DL>
<DD>Prints various snapshot statistics to System.out; Simply delegates to <A HREF="http://dsd.lbl.gov/~hoschek/javatree/share/misc/concurrent-1.3.4/doc/EDU/oswego/cs/dl/util/concurrent/FJTaskRunnerGroup.html#stats()" title="class or interface in EDU.oswego.cs.dl.util.concurrent"><CODE>FJTaskRunnerGroup.stats()</CODE></A>.
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>
</DL>
</DD>
</DL>
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