BLAS1_C
Basic Linear Algebra Subprograms
Level 1
Single Precision Complex Arithmetic

BLAS1_C, a FORTRAN77 library which constitutes the Level 1 Basic Linear Algebra Subprograms (BLAS), for vector-vector operations using single precision complex arithmetic, by Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh.

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.

Licensing:

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

Languages:

BLAS1_C is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

BLAS, a FORTRAN77 library which contains the Basic Linear Algebra Subprograms (BLAS) for level 1 (vector-vector operations), level 2 (matrix-vector operations) and level 3 (matrix-matrix operations), for single precision real arithmetic, double precision real arithmetic, single precision complex arithmetic, and double precision complex arithmetic.

BLAS0, a FORTRAN77 library which contains auxilliary functions for the Basic Linear Algebra Subprograms (BLAS).

COMPLEX_NUMBERS, a FORTRAN77 program which demonstrates some simple features involved in the use of complex numbers in FORTRAN77 programming.

GSL, a C++ Library which includes an implementation of the BLAS1 routines.

LAPACK_EXAMPLES, a FORTRAN77 program which demonstrates the use of the LAPACK linear algebra library.

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

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

Author:

Original FORTRAN77 version by Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh.

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.f, the source code;
• blas1_c.sh, commands to compile the source code;

Examples and Tests:

• blas1_c_prb.f, a calling program;
• blas1_c_prb.sh, commands to compile, link, load and run the calling program;
• blas1_c_prb_output.txt, the output file.

List of Routines:

• CAXPY computes constant times a vector plus a vector.
• CCOPY copies a vector, x, to a vector, y.
• CDOTC forms the conjugated dot product of two vectors.
• CDOTU forms the dot product of two vectors.
• CROTG generates a Givens rotation.
• CSCAL scales a vector by a constant.
• CSSCAL scales a complex vector by a real constant.
• ICAMAX finds the index of element having maximum absolute value.
• LSAME returns TRUE if CA is the same letter as CB regardless of case.
• SCASUM takes the sum of the absolute values of a complex vector.
• SCNRM2 returns the euclidean norm of a complex vector.
• XERBLA is an error handler.

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