HP-UX 11i Version 1.6 Release Notes

Commands and System Calls

MLIB 8.2

Chapter 6

MLIB 8.2

HP MLIB contains VECLIB, LAPACK and ScaLAPACK subprograms, providing

mathematical software and computational kernels for engineering and scientific

applications involving linear equations, least squares, eigenvalue problems, the singular

value decomposition, vector and matrix computations, convolutions, and Fourier

Transforms.

Summary of Change

HP MLIB 8.2 features and optimizations include:

• Sparse BLAS functionality

• ScaLAPACK funtionality

• Archive and shared libraries

Details of Change

• Sparse BLAS Functionality

In addition to containing a highly effective implementation of the Levels 1, 2, and 3

Basic Linear Algebra Subprograms (BLAS), HP MLIB 8.2 supports Sparse BLAS

functionality.

Sparse BLAS functionality provides computational kernels which support sparse

matrix products (matrix-vector and matrix-matrix) and triangular solve operations.

Sparse BLAS functionality is based on the NIST Fortran Sparse BLAS (V.0.5)

standard. Routines have been extended to four data types:

—S - Real*4

—D - Real*8

—C - Complex*8

—Z - Complex*16

This implementation also supports four additional matrix forms (MSC, MSR, BMC,

and BMR). The Sparse BLAS library routines are written in Fortran 77 and are

callable from Fortran 90 and C routines.

• ScaLAPACK Functionality

ScaLAPACK is a library of high-performance linear algebra routines capable of

solving systems of linear equations, linear least squares problems, eigenvalue

problems, and singular value problems. ScaLAPACK can also handle many

associated computations such as matrix factorizations or estimating condition

numbers.

ScaLAPACK is a public domain software that was developed by Oak Ridge National

Laboratory. It is designed for distributed computing and uses the Message Passing

Interface (MPI) for parallelism. This implementation provides a version of

ScaLAPACK tuned on HP servers and built with HP’s MPI. The ScaLAPACK library

routines are callable from Fortran 90 and C routines. Unlike other MLIB libraries,

there is not a version of ScaLAPACK that assumes all integers are 8 bytes in length.