BLAS1_Z
Basic Linear Algebra Subprograms
Level 1
Double Precision Complex Arithmetic

BLAS1_Z is a library of FORTRAN77 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.

Related Data and Programs:

BLAS1_C is a FORTRAN77 library which is a version of BLAS1 for single precision complex arithmetic.

BLAS1_D is a FORTRAN77 library which is a version of BLAS1 for double precision real arithmetic.

BLAS1_S is a FORTRAN77 library which is a version of BLAS1 for single precision real arithmetic.

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

BLAS2 is a FORTRAN77 library which handles matrix-vector operations.

BLAS3 is a FORTRAN77 library which handles matrix-matrix operations.

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

LAPACK is a FORTRAN77 library which is a linear algebra package which uses the BLAS1 routines.

LINPACK is a FORTRAN77 library which is a linear algebra package which uses the BLAS1 routines.

SUPER_BLAS is a C library 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.

Source Code:

• blas1_z.f, the source code;
• blas1_z.csh, commands to compile the source code;

Examples and Tests:

Double Precision Complex Arithmetic:

• blas1_z_prb.f, a calling program;
• blas1_z_prb.csh, commands to compile, link, load and run the calling program;
• blas1_z_prb_output.txt, the output file.

List of Routines:

• DZASUM takes the sum of the absolute values.
• DZNRM2 returns the euclidean norm of a vector.
• IZAMAX finds the index of element having maximum absolute value.
• LSAME returns TRUE if CA is the same letter as CB regardless of case.
• XERBLA is an error handler.
• ZAXPY computes constant times a vector plus a vector.
• ZCOPY copies a vector, x, to a vector, y.
• ZDOTC forms the dot product of a vector.
• ZDOTU forms the dot product of two vectors.
• ZDSCAL scales a vector by a constant.
• ZROTG generates a Givens rotation.
• ZSCAL scales a vector by a constant.
• ZSWAP interchanges two vectors.

You can go up one level to the FORTRAN77 source codes.