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mxm.html
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<html>
<head>
<title>
MXM - Matrix-Matrix Multiplication Timings
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
MXM <br> Matrix-Matrix Multiplication Timings
</h1>
<hr>
<p>
<b>MXM</b>
is a FORTRAN90 program which
sets up a matrix-matrix multiplication problem A = B * C,
and carries it out using
<ul>
<li>
Nested DO I, J, K loops;
</li>
<li>
Nested DO I, K, J loops;
</li>
<li>
Nested DO J, I, K loops;
</li>
<li>
Nested DO J, K, I loops;
</li>
<li>
Nested DO K, I, J loops;
</li>
<li>
Nested DO K, J, I loops;
</li>
<li>
the MATMUL FORTRAN90 intrinsic function;
</li>
</ul>
</p>
<p>
The user is allowed to specify N1, N2, and N3, which define
the matrix sizes.
</p>
<h3 align = "center">
Usage:
</h3>
<p>
<blockquote>
<b>mxm</b> <i>n1</i> <i>n2</i> <i>n3</i>
</blockquote>
where
<ul>
<li>
<b>n1</b> is the number of rows in B.
</li>
<li>
<b>n2</b> is the number of columns in B and rows in C.
</li>
<li>
<b>n3</b> is the number of columns in C;
</li>
</ul>
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>MXM</b> is available in
<a href = "../../c_src/mxm/mxm.html">a C version</a> and
<a href = "../../cpp_src/mxm/mxm.html">a C++ version</a> and
<a href = "../../f77_src/mxm/mxm.html">a FORTRAN77 version</a> and
<a href = "../../f_src/mxm/mxm.html">a FORTRAN90 version</a> and
<a href = "../../m_src/mxm/mxm.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/f90_intrinsics/f90_intrinsics.html">
F90_INTRINSICS</a>,
FORTRAN90 programs which
illustrate the use of FORTRAN90 intrinsic functions.
</p>
<p>
<a href = "../../f_src/linpack_bench/linpack_bench.html">
LINPACK_BENCH</a>,
a FORTRAN90 program which
measures the time needed to factor and solve a "large" (N=1000)
dense linear system of equations, and is used as a benchmark.
</p>
<p>
<a href = "../../f_src/matmul/matmul.html">
MATMUL</a>,
a FORTRAN90 program which
is an interactive matrix multiplication benchmark program.
</p>
<p>
<a href = "../../f77_src/mdbnch/mdbnch.html">
MDBNCH</a>,
a FORTRAN77 program which
is a benchmark molecular simulation calculation.
</p>
<p>
<a href = "../../f_src/mxv/mxv.html">
MXV</a>,
a FORTRAN90 program which
compares the performance of (DO I, DO J) loops, (DO J, DO I ) loops,
and MATMUL for computing the product of an MxN matrix A and an N vector X.
</p>
<p>
<a href = "../../f_src/nas/nas.html">
NAS</a>,
a FORTRAN90 program which
runs the NASA kernel benchmark.
</p>
<p>
<a href = "../../f_src/sum_million/sum_million.html">
SUM_MILLION</a>,
a FORTRAN90 program which
sums the integers from 1 to 1,000,000, as a demonstration of how
to rate a computer's speed;
</p>
<p>
<a href = "../../f_src/timer/timer.html">
TIMER</a>,
FORTRAN90 programs which
demonstrate how to compute CPU time or elapsed time.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
John Burkardt, Paul Puglielli,<br>
Pittsburgh Supercomputing Center,<br>
<a href = "../../presentations/matmul.pdf">
MATMUL: An Interactive Matrix Multiplication Benchmark
</a>
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "mxm.f90">mxm.f90</a>, the source code.
</li>
<li>
<a href = "mxm.sh">mxm.sh</a>,
commands to compile and link the source code.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>MAIN</b> is the main program for MXM.
</li>
<li>
<b>MATGEN</b> generates a random matrix.
</li>
<li>
<b>MXM_IJK</b> computes A = B * C using DO I, DO J, DO K loops.
</li>
<li>
<b>MXM_IKJ</b> computes A = B * C using DO I, DO K, DO J loops.
</li>
<li>
<b>MXM_JIK</b> computes A = B * C using DO J, DO I, DO K loops.
</li>
<li>
<b>MXM_JKI</b> computes A = B * C using DO J, DO K, DO I loops.
</li>
<li>
<b>MXM_KIJ</b> computes A = B * C using DO K, DO I, DO J loops.
</li>
<li>
<b>MXM_KJI</b> computes A = B * C using DO K, DO J, DO I loops.
</li>
<li>
<b>MXM_MATMUL</b> computes A = B * C, using the FORTRAN90 MATMUL function.
</li>
<li>
<b>S_TO_I4</b> reads an I4 from a string.
</li>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../f_src.html">
the FORTRAN90 source codes</a>.
</p>
<hr>
<i>
Last revised on 08 October 2010.
</i>
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