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7<html>
<head>
<title>
BLAS1_S - Basic Linear Algebra Subprograms - Level 1 -
Single Precision Real
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
BLAS1_S <br>
Basic Linear Algebra Subprograms <br>
Level 1 <br>
Single Precision Real Arithmetic
</h1>
<hr>
<p>
<b>BLAS1_S</b>
is a FORTRAN90 library which
implements the Level 1
<b>BLAS</b>, or Basic Linear Algebra Subprograms in single precision real arithmetic.
</p>
<p>
The <b>BLAS</b> are a small core library of linear algebra utilities,
which can be highly optimized for various architectures. Software
that relies on the <b>BLAS</b> is thus highly portable, and will typically
run very efficiently.
</p>
<p>
The Level 1 BLAS are primarily for use in vector operations.
In certain cases, they may also be used to operate on the rows
or columns of a two-dimensional array.
</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>BLAS1_S</b> is available in
<a href = "../../c_src/blas1_s/blas1_s.html">a C version</a> and
<a href = "../../cpp_src/blas1_s/blas1_s.html">a C++ version</a> and
<a href = "../../f77_src/blas1_s/blas1_s.html">a FORTRAN77 version</a> and
<a href = "../../f_src/blas1_s/blas1_s.html">a FORTRAN90 version</a> and
<a href = "../../m_src/blas1_s/blas1_s.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/blas1/blas1.html">
BLAS1</a>,
a FORTRAN90 library which
contains basic linear algebra routines for vector-vector operations,
combining the single and double precision, real and complex arithmetic
libraries.
</p>
<p>
<a href = "../../f_src/blas1_c/blas1_c.html">
BLAS1_C</a>,
a FORTRAN90 library which
is the single precision complex arithmetic version of <b>BLAS1</b>.
</p>
<p>
<a href = "../../f_src/blas1_d/blas1_d.html">
BLAS1_D</a>,
a FORTRAN90 library which
is the double precision real arithmetic version of <b>BLAS1</b>.
</p>
<p>
<a href = "../../f_src/blas1_z/blas1_z.html">
BLAS1_Z</a>,
a FORTRAN90 library which
is the double precision complex arithmetic version of <b>BLAS1</b>.
</p>
<p>
<a href = "../../f_src/blas2/blas2.html">
BLAS2</a>,
a FORTRAN90 library which
handles matrix-vector operations.
</p>
<p>
<a href = "../../f_src/blas3/blas3.html">
BLAS3</a>,
a FORTRAN90 library which
handles matrix-matrix operations.
</p>
<p>
<a href = "../../cpp_src/gsl/gsl.html">
GSL</a>,
a C++ library which
includes an implementation
of the <b>BLAS1</b> routines.
</p>
<p>
<a href = "../../f_src/lapack_examples/lapack_examples.html">
LAPACK_EXAMPLES</a>,
a FORTRAN90 program which
demonstrates the use of the LAPACK linear algebra library.
</p>
<p>
<a href = "../../f_src/linpack_s/linpack_s.html">
LINPACK_S</a>,
a FORTRAN90 library which
is a linear algebra package using single precision real arithmetic.
</p>
<p>
<a href = "../../f_src/nms/nms.html">
NMS</a>,
a FORTRAN90 library which
includes <b>BLAS1</b>.
</p>
<p>
<a href = "../../f_src/slatec/slatec.html">
SLATEC</a>,
a FORTRAN90 library which
includes <b>BLAS1</b>.
</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>
Thomas Coleman, Charles vanLoan,<br>
Handbook for Matrix Computations,<br>
SIAM, 1988,<br>
ISBN13: 978-0-898712-27-8,<br>
LC: QA188.C65.
</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 = "blas1.f90">blas1.f90</a>, the source code;
</li>
<li>
<a href = "blas1.sh">blas1.sh</a>, commands to compile
the source code;
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "blas1_s_prb.f90">blas1_s_prb.f90</a>,
a sample calling program;
</li>
<li>
<a href = "blas1_s_prb.sh">blas1_s_prb.sh</a>, commands to
compile, link, load and run the calling program;
</li>
<li>
<a href = "blas1_s_prb_output.txt">blas1_s_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>ISAMAX</b> indexes the real array element of maximum absolute value.
</li>
<li>
<b>LSAME</b> returns TRUE if CA is the same letter as CB regardless of case.
</li>
<li>
<b>SASUM</b> takes the sum of the absolute values of a real vector.
</li>
<li>
<b>SAXPY</b> adds a real constant times one vector to another.
</li>
<li>
<b>SCOPY</b> copies one real vector into another.
</li>
<li>
<b>SDOT</b> forms the dot product of two real vectors.
</li>
<li>
<b>SNRM2</b> computes the Euclidean norm of a real vector.
</li>
<li>
<b>SROT</b> applies a real plane rotation.
</li>
<li>
<b>SROTG</b> constructs a real Givens plane rotation.
</li>
<li>
<b>SSCAL</b> scales a real vector by a constant.
</li>
<li>
<b>SSWAP</b> interchanges two real vectors.
</li>
<li>
<b>XERBLA</b> is an error handler for the LAPACK routines.
</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 June 2009.
</i>
<!-- John Burkardt -->
</body>
</html>