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<html>
<head>
<title>
BLAS2 - Matrix-Vector Basic Linear Algebra Subprograms
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
BLAS2 <br> Matrix-Vector Basic Linear Algebra Subprograms
</h1>
<hr>
<p>
<b>BLAS2</b>
a C++ library which
constitutes the Level 2 Basic Linear Algebra Subprograms (BLAS),
for matrix-vector operations.
</p>
<p>
The BLAS are a small core library of linear algebra utilities,
which can be highly optimized for various architectures.
</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>BLAS2</b> is available in
<a href = "../../c_src/blas/blas.html">a C version</a> and
<a href = "../../cpp_src/blas/blas.html">a C++ version</a> and
<a href = "../../f77_src/blas/blas.html">a FORTRAN77 version</a> and
<a href = "../../f_src/blas/blas.html">a FORTRAN90 version</a> and
<a href = "../../m_src/blas/blas.html">a MATLAB version.</a>
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../cpp_src/blas/blas.html">
BLAS</a>,
a C++ library which
contains the Basic Linear Algebra Subprograms (BLAS)
for level 1 (vector-vector operations),
level 2 (matrix-vector operations) and
level 3 (matrix-matrix operations),
for single precision real arithmetic,
double precision real arithmetic,
single precision complex arithmetic, and
double precision complex arithmetic.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Edward Anderson, Zhaojun Bai, Christian Bischof, Susan Blackford,
James Demmel, Jack Dongarra, Jeremy Du Croz, Anne Greenbaum,
Sven Hammarling, Alan McKenney, Danny Sorensen,<br>
LAPACK User's Guide,<br>
Third Edition,<br>
SIAM, 1999,<br>
ISBN: 0898714478,<br>
LC: QA76.73.F25L36.
</li>
<li>
Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart,<br>
LINPACK User's Guide,<br>
SIAM, 1979,<br>
ISBN13: 978-0-898711-72-1,<br>
LC: QA214.L56.
</li>
<li>
Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh,<br>
Algorithm 539:
Basic Linear Algebra Subprograms for Fortran Usage,<br>
ACM Transactions on Mathematical Software,<br>
Volume 5, Number 3, September 1979, pages 308-323.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "blas2.cpp">blas2.cpp</a>, the source code;
</li>
<li>
<a href = "blas2.hpp">blas2.hpp</a>, the include file;
</li>
<li>
<a href = "blas2.sh">blas2.sh</a>, commands to compile
the source code;
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "blas2_prb.cpp">blas2_prb.cpp</a>, a calling program;
</li>
<li>
<a href = "blas2_prb.sh">blas2_prb.sh</a>, commands to
compile, link, load and run the calling program;
</li>
<li>
<a href = "blas2_prb_output.txt">blas2_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>DGEMV</b> computes y := alpha * A * x + beta * y for general matrix A.
</li>
<li>
<b>DGER</b> computes A := alpha*x*y' + A.
</li>
<li>
<b>DTRMV</b> computes x: = A*x or x = A'*x for a triangular matrix A.
</li>
<li>
<b>SGEMV</b> computes y := alpha * A * x + beta * y for general matrix A.
</li>
<li>
<b>SGER</b> computes A := alpha*x*y' + A.
</li>
<li>
<b>STRMV</b> computes x: = A*x or x = A'*x for a triangular matrix A.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../cpp_src.html">
the C++ source codes</a>.
</p>
<hr>
<i>
Last revised on 04 April 2014.
</i>
<!-- John Burkardt -->
</body>
</html>