BLAS2_Z
Double Precision Complex Matrix-Vector Basic Linear Algebra Subprograms

BLAS2_Z a FORTRAN77 library which constitutes the Level 2 Basic Linear Algebra Subprograms (BLAS), for matrix-vector operations using double precision complex arithmetic.

The BLAS are a small core library of linear algebra utilities, which can be highly optimized for various architectures.

Licensing:

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

Languages:

BLAS2_Z 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).

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

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:

• blas2_z.f, the source code;
• blas2_z.sh, commands to compile the source code;

Examples and Tests:

• blas2_z_prb.f, a calling program;
• blas2_z_prb.sh, commands to compile, link, load and run the calling program;
• blas2_z_prb_output.txt, the output file.

List of Routines:

• ZGBMV computes y := alpha * A * x + beta * y, A a complex band matrix.
• ZGEMV computes y := alpha * A * x + beta * y, A a general complex matrix.
• ZGERC performs the rank 1 operation A := A + alpha * x * conjg ( y' ).
• ZGERU performs the rank 1 operation A := A + alpha * x * y'.
• ZHBMV performs the matrix-vector operation y := alpha * A * x + beta * y.
• ZHEMV performs the matrix-vector operation y := alpha * A * x + beta * y.
• ZHER2 performs the hermitian rank 2 operation
• ZHER performs the hermitian rank 1 operation A := A + alpha*x*conjg( x' ).
• ZHPMV performs the matrix-vector operation y := alpha*A*x + beta*y.
• ZHPR2 performs the hermitian rank 2 operation
• ZHPR performs the hermitian rank 1 operation A := A + alpha*x*conjg( x' ).
• ZTBMV performs one of the matrix-vector operations
• ZTBSV solves one of the systems of equations
• ZTPMV performs one of the matrix-vector operations
• ZTPSV solves one of the systems of equations
• ZTRMV performs one of the matrix-vector operations
• ZTRSV solves one of the systems of equations

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