MathKeisan User's Guide

Introduction

MathKeisan is a tuned collection of mathematical libraries for NEC high-performance computers. There is a version for the NEC SX vector machines running SUPER-UX, and a version for the NEC Itanium® Processor Family (IPF) machines running Linux.

MathKeisan contains assembly code for BLAS subprograms. There are shared memory parallel (OpenMP) versions of BLAS, FFT, Solver, and IPF LAPACK. There are distributed memory parallel (MPI) libraries: BLACS, ScaLAPACK, ParMETIS, and PARPACK.

The FFT, LAPACK, and PARDISO libraries in MathKeisan for IPF are from the Intel® Math Kernel Library (MKL). Part of BLAS in MathKeisan for IPF is from MKL.

MathKeisan libraries are listed in Table 1.

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

Document Conventions

Various fonts are used in the text, depending on what the text is for:

Plain text.
Dummy variables such as xx, or mathematical formulas such as x²+y.
Commands or code that the user may type in.
Output that the program prints out.
Pathnames like /opt/MathKeisan, environment variables like OMP_NUM_THREADS, library names like libblas.a, and Fortran/C code which is descriptive, such as real(kind=4).