BLAS1_D
Basic Linear Algebra Subprograms
Level 1
Double Precision Real Arithmetic

BLAS1_D a FORTRAN77 library which constitutes the Level 1 Basic Linear Algebra Subprograms (BLAS), for vector-vector operations using double precision real 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_D is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version and a Python 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).

GSL, a FORTRAN77 library which is the Gnu Scientific 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 FORTRAN77 library which is a version of some of the BLAS1 routines written in C.

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_d.f, the source code;

Examples and Tests:

• blas1_d_prb.f, a calling program;
• blas1_d_prb_output.txt, the output file.

List of Routines:

• DASUM takes the sum of the absolute values.
• DAXPY computes constant times a vector plus a vector.
• DCOPY copies a vector.
• DDOT forms the dot product of two vectors.
• DMACH computes machine parameters of floating point arithmetic.
• DNRM2 returns the euclidean norm of a vector.
• DROT applies a plane rotation.
• DROTG constructs a Givens plane rotation.
• DROTM applies a modified Givens rotation matrix.
• DROTMG generates a modified Givens rotation matrix.
• DSCAL scales a vector by a constant.
• DSDOT computes the inner product of two vectors with extended precision.
• DSWAP interchanges two vectors.
• IDAMAX 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.

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