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<html>
<head>
<title>
MATRIX_ASSEMBLE_SPMD - SPMD (Single Program/Multiple Data) Matrix Assembly
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
MATRIX_ASSEMBLE_SPMD <br> SPMD (Single Program/Multiple Data) Matrix Assembly
</h1>
<hr>
<p>
<b>MATRIX_ASSEMBLE_SPMD</b>
is a MATLAB program which
uses the <b>SPMD</b> (single program, multiple data) command to
assemble a large matrix as a collection of strips which are joined
at the end of the computation.
</p>
<p>
The MxN Hilbert matrix is to be computed. Supposing we have K
SPMD workers, each worker will generate a strip of size Mx(N/K).
The SPMD client can concatenate these strips at the end of the
computation.
</p>
<p>
Of course, this is a fairly trivial calculation, and not a terribly
exciting exhibition of parallelism. However, it is one step in a
process of trying to figure out how a finite element code could
use parallelism to assemble the system matrix, for instance.
</p>
<p>
The function has the form:
<blockquote>
function a = hilbert_fun ( m, n )
</blockquote>
where
<ul>
<li>
<i>m</i>, <i>n</i> are the number of rows and columns;
</li>
<li>
<i>a</i> is the computed matrix.
</li>
</ul>
</p>
<p>
Depending on the situation, the function could be executed in parallel:
<ul>
<li>
interactively, and locally, using the <b>matlabpool</b> command;
</li>
<li>
indirectly, and locally, using the <b>batch</b> command;
</li>
<li>
indirectly, and on a remote cluster, using the <b>batch</b> command;
</li>
<li>
indirectly, and on the FSU HPC cluster, using the <b>fsuClusterMatlab</b> command;
</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>MATRIX_ASSEMBLE_SPMD</b> is available in
<a href = "../../m_src/matrix_assemble_spmd/matrix_assemble_spmd.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../m_src/contrast_spmd/contrast_spmd.html">
CONTRAST_SPMD</a>,
a MATLAB program which
demonstrates the SPMD parallel programming feature for image operations;
the client reads an image, the workers increase contrast over separate portions, and
the client assembles and displays the results.
</p>
<p>
<a href = "../../m_src/contrast2_spmd/contrast2_spmd.html">
CONTRAST2_SPMD</a>,
a MATLAB program which
demonstrates the SPMD parallel programming feature for image operations;
this improves the contrast_spmd program by allowing the workers to share some
data; this makes it possible to eliminate artificial "seams" in the processed
image.
</p>
<p>
<a href = "../../m_src/dijkstra_spmd/dijkstra_spmd.html">
DIJKSTRA_SPMD</a>,
a MATLAB program which
uses the SPMD feature to parallelize a simple example of Dijkstra's
minimum distance algorithm for graphs.
</p>
<p>
<a href = "../../m_src/face_spmd/face_spmd.html">
FACE_SPMD</a>,
a MATLAB program which
demonstrates the SPMD parallel programming feature;
the client has a 3D box that has been dissected into tetrahedrons.
Multiple workers cooperate to construct a list of the triangular faces
that lie on the boundaries of the box.
</p>
<p>
<a href = "../../m_src/fd2d_heat_explicit_spmd/fd2d_heat_explicit_spmd.html">
FD2D_HEAT_EXPLICIT_SPMD</a>,
a MATLAB program which
uses the finite difference method and explicit time stepping
to solve the time dependent heat equation in 2D. A black and white image
is used as the "initial condition". MATLAB's SPMD facility is used to
carry out the computation in parallel.
</p>
<p>
<a href = "../../m_src/image_denoise_spmd/image_denoise_spmd.html">
IMAGE_DENOISE_SPMD</a>,
a MATLAB program which
demonstrates the SPMD parallel programming feature for image operations;
the client reads an image, the workers process portions of it, and
the client assembles and displays the results.
</p>
<p>
<a href = "../../m_src/linear_solve_distributed/linear_solve_distributed.html">
LINEAR_SOLVE_DISTRIBUTED</a>,
a MATLAB program which
solves a linear system <b>A*x=b</b> using MATLAB's <b>spmd</b> facility,
so that the matrix <b>A</b> is "distributed" across multiple MATLAB workers.
</p>
<p>
<a href = "../../m_src/matlab_parallel/matlab_parallel.html">
MATLAB_PARALLEL</a>,
MATLAB programs which
illustrate "local" parallel programming on a single computer
with MATLAB's Parallel Computing Toolbox.
</p>
<p>
<a href = "../../m_src/matrix_assemble_parfor/matrix_assemble_parfor.html">
MATRIX_ASSEMBLE_PARFOR</a>,
a MATLAB program which
demonstrates the parfor parallel programming
feature by assembling the Hilbert matrix in a parallel loop.
</p>
<p>
<a href = "../../m_src/plot_spmd/plot_spmd.html">
PLOT_SPMD</a>,
a MATLAB library which
demonstrates the SPMD parallel programming feature, by having a number
of labs compute parts of a sine plot, which is then displayed by the
client process.
</p>
<p>
<a href = "../../m_src/prime_spmd/prime_spmd.html">
PRIME_SPMD</a>,
a MATLAB program which
counts the number of primes between 1 and N;
running in parallel using MATLAB's "SPMD" feature.
</p>
<p>
<a href = "../../m_src/quad_spmd/quad_spmd.html">
QUAD_SPMD</a>,
a MATLAB library which
demonstrates the SPMD parallel programming feature, by having a number
of labs each estimate part of an integral using quadrature.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
The User's Guide for the Parallel Computing Toolbox is available at
<a href = "http://www.mathworks.com/access/helpdesk/help/pdf_doc/distcomp/distcomp.pdf">
http://www.mathworks.com/access/helpdesk/help/pdf_doc/distcomp/distcomp.pdf</a>
</p>
<p>
<ul>
<li>
Gaurav Sharma, Jos Martin,<br>
MATLAB: A Language for Parallel Computing,<br>
International Journal of Parallel Programming,<br>
Volume 37, Number 1, pages 3-36, February 2009.
</li>
</ul>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<b>HILBERT</b> is a simple example of matrix assembly, in which
the calculation of the individual entries does not take very much time.
(A better example might have fewer matrix entries which each take up
much more time to calculate).
<ul>
<li>
<a href = "hilbert_fun.m">hilbert_fun.m</a>,
a MATLAB function which returns the MxN Hilbert matrix,
using the available SPMD workers.
</li>
</ul>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "hilbert_pool.m">hilbert_pool.m</a>
a script which uses the MATLABPOOL command to run the function locally and
interactively.
</li>
<li>
<a href = "hilbert_script.m">hilbert_script.m</a>,
a MATLAB script file which simply invokes the function with
M = N = 100.
</li>
<li>
<a href = "hilbert_batch_local.m">hilbert_batch_local.m</a>,
a batch command to run the job indirectly on the local system,
plus a few more commands
to monitor its progress, print the diary, and destroy the job at the end.
</li>
<li>
<a href = "hilbert_fsu.m">hilbert_fsu.m</a>
a script which uses the fsuClusterMatlab command to run the function
indirectly on the FSU HPC cluster.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../m_src.html">
the MATLAB source codes</a>.
</p>
<hr>
<i>
Last revised on 26 February 2011.
</i>
<!-- John Burkardt -->
</body>
</html>