January 2005
NEC Corporation
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.
| 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 |
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 6.7.18cheevd, zheevd,
cheevr, zheevr,
chetrd, zhetrd,
ssyevd, dsyevd,
ssyevr, dsyevr,
ssytrd, dsytrd,
spotrf, dpotrf
sgemm, dgemm,
chemv, zhemv,
ssyrk, dsyrk,
strsm, dtrsm, ctrsm, ztrsm,
csymm, zsymm,
snrm2, dnrm2, scnrm2, dznrm2
sgemm, dgemm,
strsm, dtrsm,
ssyrk, dsyrk
zzfft3d, cffts
zzfft3d, cffts
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.
For more information, see the MathKeisan User's Guide (also available at www.mathkeisan.com). The User's Guide is organized as follows: