Compaq Extended Math Library Documentation

Compaq Extended Math Library

The Compaq Extended Math Library (CXML) is a set of computationally intensive mathematical subroutines that are optimized for the Alpha platform.

CXML includes subroutines covering the areas of:

Basic Linear Algebra (BLAS) - includes BLAS 1, BLAS 1E, BLAS 1S, BLAS 2 and BLAS 3.
Linear and Eigen System Solvers (LAPACK) - provides complete LAPACK package.
Sparse Linear System Solvers - includes Direct Sparse Solvers and Iterative Solvers
Signal Processing - includes FFTs, cos/sin transforms, convolution, correlations and digital filters
Sciport - provides 64 bit single precision library routines for CRAY users porting programs to Alpha systems.

Most routines are available in both real and complex versions, as well as in both single and double precision.

For further information, select a CXML subcomponent from the following table, or refer to the CXML Index of Routines.

CXML Subcomponents


  Sub-component				Function

  array-math routines	Standard math functions operating on arrays

  blas1 routines		Vector-vector linear algebra subprograms

  blas1e routines		Enhancements to BLAS 1

  blas1s routines		Sparse version of BLAS 1

  blas2 routines		Matrix-vector linear algebra subprograms

  blas3 routines		Matrix-matrix linear algebra subprograms

  lapack routines		Dense linear system solvers and eigensolvers

  iterative-solver routines	Sparse iterative linear system solvers

 direct sparse solver routines	Direct solvers for symmetric matrices

  signal-processing routines	FFTs, cos/sin transforms, convolution, correlation, filters

  random-number routines	Random number generator subprograms

  sort routines		Sort subprograms

  Sciport routines                     Sciport subprograms

  parallel routines                    Parallel version of CXML library

Parallel Routines

CXML includes a parallel version of the library for SMP configuration. The parallel CXML library is only available on platforms that support SMP, including Tru64 Unix. Refer to the CXML Parallel Library page for information about the CXML parallel library.

Compiling and Linking with CXML

For information about how to compile and link your program with CXML for the Fortran and C languages from various platforms, refer to the Compiling and Linking page. This page also gives and example of how to link with the CXML parallel library.