MathKeisan 1.6.0 for SX Release Notes

January 2005
NEC Corporation

Introduction

MathKeisan is a highly-tuned collection of mathematical libraries for NEC high performance computers. There is a version of MathKeisan for the NEC SX vector machines running SUPER-UX, and a version for NEC Itanium® Processor Family (IPF) servers running Linux. Unless otherwise noted, all references to MathKeisan in these Release Notes are to MathKeisan for SUPER-UX.

MathKeisan contains assembly code for BLAS subprograms. There are shared memory parallel versions of BLAS, FFT, SOLVER and LAPACK. The BLACS (called by ScaLAPACK) and ParMETIS libraries are distributed memory parallel, using MPI.

The libraries in MathKeisan are listed in Table 1.

**Table 1:** Libraries in MathKeisan
Name	Description
BLAS	Basic Linear Algebra Subprograms
LAPACK	Linear Algebra PACKage for high performance computers
ScaLAPACK	Scalable Linear Algebra PACKage (contains PBLAS)
BLACS	Basic Linear Algebra Communication Subprograms (uses MPI)
PARBLAS	Shared memory parallel BLAS
CBLAS	C interface to BLAS
SBLAS	Sparse BLAS (from ACM Algorithm 692)
FFT	Fast Fourier Transforms with HP VECLIB interface and CRAY LIBSCI 3.1 interface
PARFFT	Shared memory parallel FFT with HP VECLIB interface and CRAY LIBSCI 3.1 interface
METIS	Matrix/Graph ordering and partitioning library
ParMETIS	Parallel Matrix/Graph ordering and partition library (uses MPI)
SOLVER	Direct solver for sparse symmetric systems
ARPACK	Solution of large scale eigenvalue problems

Compatibility

For a list of machines and SUPER-UX revisions compatible with MathKeisan 1.6.0, please follow the "Compatibility" link at www.mathkeisan.com. The following compilers and MPI were used to build the MathKeisan libraries:

f90 for SX, Rev.305 C++/SX, Rev.064 MPI/SX: library Version 6.7.18

New in MathKeisan 1.6.0 for SX

Performance improvements in LAPACK subroutines: cheevd, zheevd, cheevr, zheevr, chetrd, zhetrd, ssyevd, dsyevd, ssyevr, dsyevr, ssytrd, dsytrd, spotrf, dpotrf
Performance improvements in BLAS subroutines: sgemm, dgemm, chemv, zhemv, ssyrk, dsyrk, strsm, dtrsm, ctrsm, ztrsm, csymm, zsymm, snrm2, dnrm2, scnrm2, dznrm2
Performance improvements in PARBLAS subroutines: sgemm, dgemm, strsm, dtrsm, ssyrk, dsyrk
Performance improvements in FFT subroutnies: zzfft3d, cffts
Performance improvements in PARFFT subroutines: zzfft3d, cffts
64 bit integer versions of BLACS and ScaLAPACK
New version of CBLAS
New versions of METIS and PARMETIS
Many improvements to the User's Guide and man pages
Distribution that uses SUPER-UX package manager

Installation

The MathKeisan 1.6.0 distribution for SX contains these files:

README file
MK1_6_0.pkg SUPER-UX package manager file
install.sh install script
MK1_6_0.tar tar file

The README file has information on how to install MathKeisan 1.6.0.

User's Guide

For more information, see the MathKeisan User's Guide (also available at www.mathkeisan.com). The User's Guide is organized as follows:

Acknowledgments
Overview of Libraries
Documentation
Linking with MathKeisan
User Notes
Routine List