BLAS1_C
Basic Linear Algebra Subprograms
Level 1
Single Precision Complex Arithmetic

BLAS1_C, a FORTRAN90 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.

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

Related Data and Programs:

BLAS, a FORTRAN90 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.

C4LIB, a FORTRAN90 library which implements certain elementary functions for single precision complex variables;

COMPLEX_NUMBERS, a FORTRAN90 program which demonstrates some simple features involved in the use of complex numbers in FORTRAN90 programming.

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

LAPACK_EXAMPLES, a FORTRAN90 program which demonstrates the use of the LAPACK linear algebra library.

LINPACK, a FORTRAN90 library which is a linear algebra package that uses the BLAS1 routines.

NMS, a FORTRAN90 library which includes BLAS1.

SLATEC, a FORTRAN90 library which includes BLAS1.

Author:

Original FORTRAN77 version by Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh. FORTRAN90 version by John Burkardt.

Reference:

1. Edward Anderson, Zhaojun Bai, Christian Bischof, Susan Blackford, James Demmel, Jack Dongarra, Jeremy Du Croz, Anne Greenbaum, Sven Hammarling, Alan McKenney, Danny Sorensen,
   LAPACK User's Guide,
   Third Edition,
   SIAM, 1999,
   ISBN: 0898714478,
   LC: QA76.73.F25L36.
2. Thomas Coleman, Charles vanLoan,
   Handbook for Matrix Computations,
   SIAM, 1988,
   ISBN13: 978-0-898712-27-8,
   LC: QA188.C65.
3. Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart,
   LINPACK User's Guide,
   SIAM, 1979,
   ISBN13: 978-0-898711-72-1,
   LC: QA214.L56.
4. 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_c.f90, the source code;

Examples and Tests:

• blas1_c_test.f90, a sample calling program;
• blas1_c_test.txt, the output file.

List of Routines:

• CAXPY computes a complex constant times a vector plus a vector.
• CCOPY copies a complex vector X to a vector Y.
• CDOTC forms the conjugated dot product of two complex vectors.
• CDOTU forms the unconjugated dot product of two complex vectors.
• CROTG determines a complex Givens rotation.
• CSCAL scales a complex vector by a constant.
• CSSCAL scales a complex vector by a real constant.
• CSWAP interchanges two complex vectors.
• ICAMAX indexes the complex vector element of 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 for the LAPACK routines.

You can go up one level to the FORTRAN90 source codes.