BLAS1_Z
Basic Linear Algebra Subprograms
Level 1
Double Precision Complex Arithmetic

BLAS1_Z is a C++ library which implements the Level 1 BLAS, or Basic Linear Algebra Subprograms, using double precision complex arithmetic.

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.

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.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

BLAS1_Z is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

BLAS0, a C++ library which contains auxilliary functions for the Basic Linear Algebra Subprograms (BLAS).

BLAS1_C, a C++ library which contains basic linear algebra routines for vector-vector operations, using single precision complex arithmetic.

BLAS1_D, a C++ library which contains basic linear algebra routines for vector-vector operations, using double precision real arithmetic.

BLAS1_S, a C++ library which contains basic linear algebra routines for vector-vector operations, using single precision real arithmetic.

BLAS2, a C++ library which contains basic linear algebra subprograms (BLAS) for matrix-vector operations;

BLAS3, a C++ library which contains basic linear algebra subprograms (BLAS) for matrix-matrix operations;

COMPLEX_NUMBERS, a C++ program which demonstrates some simple features involved in the use of complex numbers in C programming.

GSL, C++ programs which illustrate the use of the Gnu Scientific Library;

LINPACK_C, a C++ library which solves linear systems using single precision complex arithmetic;

SUPER_BLAS, a C library which implements some of the Basic Linear Algebra Subprograms for fast execution.

Author:

Original FORTRAN77 version by Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh. C++ version by John Burkardt.

Reference:

1. Thomas Coleman, Charles vanLoan,
   Handbook for Matrix Computations,
   SIAM, 1988,
   ISBN13: 978-0-898712-27-8,
   LC: QA188.C65.
2. Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart,
   LINPACK User's Guide,
   SIAM, 1979,
   ISBN13: 978-0-898711-72-1,
   LC: QA214.L56.
3. Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh,
   Algorithm 539: Basic Linear Algebra Subprograms for Fortran Usage,
   ACM Transactions on Mathematical Software,
   Volume 5, Number 3, September 1979, pages 308-323.

Source Code:

• blas1_z.cpp, the source code.
• blas1_z.hpp, the include file.

Examples and Tests:

• blas1_z_test.cpp, the calling program.
• blas1_z_test.txt the output file.

List of Routines:

• DZASUM takes the sum of the absolute values of a complex <double> vector.
• DZNRM2 returns the euclidean norm of a complex <double> vector.
• IZAMAX indexes the complex <double> vector element of maximum absolute value.
• ZAXPY adds a multiple of one complex <double> vector to another.
• ZCOPY copies a complex <double> vector.
• ZDOTC forms the conjugated dot product of two complex <double> vectors.
• ZDOTU forms the unconjugated dot product of two complex <double> vectors.
• ZDROT applies a plane rotation to complex <double> vectors.
• ZDSCAL scales a complex <double> vector by a double.
• ZROTG determines a complex <double> Givens rotation.
• ZSCAL scales a complex <double> vector by a complex <double>.
• ZSWAP interchanges two complex <double> vectors.

You can go up one level to the C++ source codes.