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<html>
<head>
<title>
BLAS1_Z - Basic Linear Algebra Subprograms - Level 1 -
Double precision Complex Arithmetic
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
BLAS1_Z <br>
Basic Linear Algebra Subprograms <br>
Level 1 <br>
Double Precision Complex Arithmetic
</h1>
<hr>
<p>
<b>BLAS1_Z</b>
is a C++ library which
implements the Level 1 BLAS, or
Basic Linear Algebra Subprograms, using double precision complex arithmetic.
</p>
<p>
The BLAS are a small core library of linear algebra utilities,
which can be highly optimized for various architectures. Software
that relies on the BLAS 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_Z</b> is available in
<a href = "../../c_src/blas1_z/blas1_z.html">a C version</a> and
<a href = "../../cpp_src/blas1_z/blas1_z.html">a C++ version</a> and
<a href = "../../f77_src/blas1_z/blas1_z.html">a FORTRAN77 version</a> and
<a href = "../../f_src/blas1_z/blas1_z.html">a FORTRAN90 version</a> and
<a href = "../../m_src/blas1_z/blas1_z.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../cpp_src/blas0/blas0.html">
BLAS0</a>,
a C++ library which
contains auxilliary functions for the Basic Linear Algebra Subprograms
(BLAS).
</p>
<p>
<a href = "../../cpp_src/blas1_c/blas1_c.html">
BLAS1_C</a>,
a C++ library which
contains basic linear algebra routines for vector-vector operations,
using single precision complex arithmetic.
</p>
<p>
<a href = "../../cpp_src/blas1_d/blas1_d.html">
BLAS1_D</a>,
a C++ library which
contains basic linear algebra routines for vector-vector operations,
using double precision real arithmetic.
</p>
<p>
<a href = "../../cpp_src/blas1_s/blas1_s.html">
BLAS1_S</a>,
a C++ library which
contains basic linear algebra routines for vector-vector operations,
using single precision real arithmetic.
</p>
<p>
<a href = "../../cpp_src/blas2/blas2.html">
BLAS2</a>,
a C++ library which
contains basic linear algebra subprograms (BLAS)
for matrix-vector operations;
</p>
<p>
<a href = "../../cpp_src/blas3/blas3.html">
BLAS3</a>,
a C++ library which
contains basic linear algebra subprograms (BLAS)
for matrix-matrix operations;
</p>
<p>
<a href = "../../cpp_src/complex_numbers/complex_numbers.html">
COMPLEX_NUMBERS</a>,
a C++ program which
demonstrates some simple features involved in the use of
complex numbers in C programming.
</p>
<p>
<a href = "../../cpp_src/gsl/gsl.html">
GSL</a>,
C++ programs which
illustrate the use of the Gnu Scientific Library;
</p>
<p>
<a href = "../../cpp_src/linpack_c/linpack_c.html">
LINPACK_C</a>,
a C++ library which
solves linear systems using single precision complex arithmetic;
</p>
<p>
<a href = "../../c_src/super_blas/super_blas.html">
SUPER_BLAS</a>,
a C library which
implements some of the Basic Linear Algebra Subprograms for fast execution.
</p>
<h3 align = "center">
Author:
</h3>
<p>
Original FORTRAN77 version by Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh.
C++ version by John Burkardt.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<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_z.cpp">blas1_z.cpp</a>, the source code.
</li>
<li>
<a href = "blas1_z.hpp">blas1_z.hpp</a>, the include file.
</li>
<li>
<a href = "blas1_z.sh">blas1_z.sh</a>,
commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "blas1_z_prb.cpp">blas1_z_prb.cpp</a>,
the calling program.
</li>
<li>
<a href = "blas1_z_prb.sh">blas1_z_prb.sh</a>
compiles, links and runs the calling program.
</li>
<li>
<a href = "blas1_z_prb_output.txt">blas1_z_prb_output.txt</a>
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>DZASUM</b> takes the sum of the absolute values of a complex <double> vector.
</li>
<li>
<b>DZNRM2</b> returns the euclidean norm of a complex <double> vector.
</li>
<li>
<b>IZAMAX</b> indexes the complex <double> vector element of maximum absolute value.
</li>
<li>
<b>ZAXPY</b> adds a multiple of one complex <double> vector to another.
</li>
<li>
<b>ZCOPY</b> copies a complex <double> vector.
</li>
<li>
<b>ZDOTC</b> forms the conjugated dot product of two complex <double> vectors.
</li>
<li>
<b>ZDOTU</b> forms the unconjugated dot product of two complex <double> vectors.
</li>
<li>
<b>ZDROT</b> applies a plane rotation to complex <double> vectors.
</li>
<li>
<b>ZDSCAL</b> scales a complex <double> vector by a double.
</li>
<li>
<b>ZROTG</b> determines a complex <double> Givens rotation.
</li>
<li>
<b>ZSCAL</b> scales a complex <double> vector by a complex <double>.
</li>
<li>
<b>ZSWAP</b> interchanges two complex <double> vectors.
</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 11 October 2010.
</i>
<!-- John Burkardt -->
</body>
</html>