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<html>
<head>
<title>
MXVP - Matrix Vector Multiplication Timings
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
MXV <br> Matrix Vector Multiplication Timings
</h1>
<hr>
<p>
<b>MXV</b>
is a FORTRAN90 program which
sets up several matrix vector multiplication problems y=A*x,
and carries them out using
<ul>
<li>
Nested DO I, DO J loops;
</li>
<li>
Nested DO J, DO I loops;
</li>
<li>
the MATMUL FORTRAN90 intrinsic function;
</li>
</ul>
</p>
<p>
The user is allowed to specify M and N, the number of matrix rows and columns.
</p>
<h3 align = "center">
Usage:
</h3>
<p>
<blockquote>
<b>mxv</b> <i>m</i> <i>n</i>
</blockquote>
where
<ul>
<li>
<b>m</b> is the number of matrix rows;
</li>
<li>
<b>n</b> is the number of matrix columns;
</li>
</ul>
</p>
<h3 align = "center">
Sample Results:
</h3>
<p>
<pre>
M N FLOP doIdoJ doJdoI MATMUL
10 10 100 8 11 3
10 100 1,000 27 29 32
100 10 1,000 23 31 32
10 1,000 10,000 35 33 172
100 100 10,000 31 36 200
1,000 10 10,000 42 54 277
10 10,000 100,000 18 33 159
10,000 10 100,000 25 34 176
10 100,000 1,000,000 16 32 142
100 10,000 1,000,000 6 37 174
1,000 1,000 1,000,000 17 40 234
10,000 100 1,000,000 28 37 171
100,000 10 1,000,000 24 33 88
</pre>
</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>MXV</b> is available in
<a href = "../../c_src/mxv/mxv.html">a C version</a> and
<a href = "../../cpp_src/mxv/mxv.html">a C++ version</a> and
<a href = "../../f77_src/mxv/mxv.html">a FORTRAN77 version</a> and
<a href = "../../f_src/mxv/mxv.html">a FORTRAN90 version</a> and
<a href = "../../m_src/mxv/mxv.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/mxm/mxm.html">
MXM</a>,
a FORTRAN90 program which
sets up a matrix multiplication problem A=B*C of arbitrary size,
and compares the time required for IJK, IKJ, JIK, JKI, KIJ and KJI orderings
of the loops.
</p>
<p>
<a href = "../../f_src/mxv_openmp/mxv_openmp.html">
MXV_OPENMP</a>,
a FORTRAN90 program which
compares the performance of plain vanilla Fortran and the FORTRAN90
intrinsic routine MATMUL, for the matrix multiplication problem
y=A*x, with and without parallelization by OpenMP.
<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 = "mxv.f90">mxv.f90</a>, the source code.
</li>
<li>
<a href = "mxv.sh">mxv.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 MXV.
</li>
<li>
<b>MATGEN</b> generates a random matrix A and vector X.
</li>
<li>
<b>MXV_MATMUL</b> computes y = A * x, using the FORTRAN90 MATMUL function.
</li>
<li>
<b>MXV_DOIDOJ</b> computes y = A * x, using DO I, DO J loops.
</li>
<li>
<b>MXV_DOJDOI</b> computes y = A * x, using DO J, DO I loops.
</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 23 May 2008.
</i>
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