BLAS1_Z
Basic Linear Algebra Subprograms
Level 1
Double Precision Complex Arithmetic

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

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.

On the SGI, a precompiled optimized BLAS library may be linked to via a command like:

g++ myprog.C -lblas

On the Compaq ALPHA, a precompiled optimized BLAS library is available in CXML, the "Compaq Extended Math Library". A C++ program can link with the CXML library, but the CXML routine names must have an underscore appended to them, and they must be declared as extern "C" to avoid the dreaded C++ name-mangling. The linking command would be something like:

g++ myprog.C -lcxml

Related Data and Programs:

BLAS1_C is a C++ library of routines which is a version of BLAS1 for single precision complex arithmetic.

BLAS1_D is a C++ library of routines which is a version of BLAS1 for double precision real arithmetic.

BLAS1_S is a C++ library of routines which is a version of BLAS1 for single precision real arithmetic.

BLAS1_Z is also available in a C version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.

BLAS2 is a FORTRAN90 library of routines which is the Level 2 BLAS, for matrix-vector operations.

BLAS3 is a FORTRAN90 library of routines which is the Level 3 BLAS, for matrix-matrix operations.

GSL is the Gnu Scientific Library which includes an implementation of the BLAS1 routines.

LAPACK is a FORTRAN90 library of routines which is a linear algebra package that uses BLAS1 routines

LINPACK is a C++ library of routines which is a linear algebra library that uses the BLAS1 routines

SUPER_BLAS is a C library of routines which is a version of some of the BLAS1 routines.

Reference:

1. Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart,
   LINPACK User's Guide,
   SIAM, 1979,
   ISBN13: 978-0-898711-72-1,
   LC: QA214.L56.
2. Charles Lawson, Richard Hanson, David Kincaid and 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.
3. Thomas Coleman and Charles Van Loan,
   Handbook for Matrix Computations,
   Society for Industrial and Applied Mathematics,
   3600 University City Science Center,
   Philadelphia, PA 19104-2688.
4. Compaq Computer Corporation,
   Compaq Extended Math Library,
   CXML Reference Guide

Source Code:

• blas1_z.C, the source code.
• blas1_z.H, the include file.
• blas1_z.csh, commands to compile the source code.

Examples and Tests:

• blas1_z_prb.C, the calling program.
• blas1_z_prb.csh compiles, links and runs the calling program.
• blas1_z_prb.out the resulting output file.

List of Routines:

• DZASUM takes the sum of the absolute values of a double complex vector.
• DZNRM2 returns the euclidean norm of a double complex vector.
• I4_MAX returns the maximum of two integers.
• I4_MIN returns the smaller of two integers.
• IZAMAX indexes the double complex vector element of maximum absolute value.
• LSAME returns TRUE if CA is the same letter as CB regardless of case.
• R8_ABS returns the absolute value of a double.
• R8_MAX returns the maximum of two doubles.
• R8_SIGN returns the sign of a double.
• XERBLA is an error handler for the LAPACK routines.
• ZABS1 returns the L1 norm of a double complex number.
• ZABS2 returns the L2 norm of a double complex number.
• ZAXPY computes a double complex constant times a vector plus a vector.
• ZCOPY copies a double complex vector X to a vector Y.
• ZDOTC forms the conjugated dot product of two double complex vectors.
• ZDOTU forms the unconjugated dot product of two double complex vectors.
• ZDROT applies a double complex plane rotation.
• ZDSCAL scales a double complex vector by a real constant.
• ZMACH computes machine parameters for double complex arithmetic.
• ZROTG determines a complex Givens rotation.
• ZSCAL scales a double complex vector by a constant.
• ZSIGN1 is a double complex transfer-of-sign function.
• ZSIGN2 is a double complex transfer-of-sign function.
• ZSWAP interchanges two double complex vectors.

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