SuperLU is a library for the direct solution of large, sparse, nonsymmetric systems of linear equations on high performance machines. It comes in two different flavors: SuperLU_MT (multithreaded) for shared memory parallel machines and SuperLU_DIST for distributed memory parallel machines.
Mathematics & Statistics
Stata is a complete, integrated statistical package that provides everything needed for data analysis, data management, and graphics. Release 13 32-processor SMP is currently available at OSC.
Computational stochastic approaches (Monte Carlo methods) based on random sampling are becoming extremely important research tools not only in their "traditional" fields such as physics, chemistry or applied mathematics but also in social sciences and, recently, in various branches of industry. An indication of importance is, for example, the fact that Monte Carlo calculations consume about one half of the supercomputer cycles. One of the indispensable and important ingredients for reliable and statistically sound calculations is the source of pseudo random numbers. SPRNG provides a scalable package for parallel pseudo random number generation which will be easy to use on a variety of architectures, especially in large-scale parallel Monte Carlo applications.
SPRNG 1.0 provides the user the various SPRNG random number generators each in its own library. For most users this is acceptable, as one rarely uses more than one type of generator in a single program. However, if the user desires this added flexibility, SPRNG 2.0 provides it. In all other respects, SPRNG 1.0 and SPRNG 2.0 are identical.
ScaLAPACK is a library of high-performance linear algebra routines for clusters supporting MPI. It contains routines for solving systems of linear equations, least squares problems, and eigenvalue problems.
This page documents usage of the ScaLAPACK library installed by OSC from source. An optimized implementation of ScaLAPACK is included in MKL; see the software documentation page for Intel Math Kernel Library for usage information.
R is a language and environment for statistical computing and graphics. It is similar to the S language and environment developed at Bell Laboratories (formerly AT&T, now Lucent Technologies). R provides a wide variety of statistical and graphical techniques, and is highly extensible.
Octave is a high-level language, primarily intended for numerical computations. It provides a convenient command line interface for solving linear and nonlinear problems numerically, and for performing other numerical experiments using a language that is mostly compatible with Matlab. It may also be used as a batch-oriented language.
Octave has extensive tools for solving common numerical linear algebra problems, finding the roots of nonlinear equations, integrating ordinary functions, manipulating polynomials, and integrating ordinary differential and differential-algebraic equations. It is easily extensible and customizable via user-defined functions written in Octave's own language, or using dynamically loaded modules written in C++, C, Fortran, or other languages.
MATLAB is a technical computing environment for high-performance numeric computation and visualization. MATLAB integrates numerical analysis, matrix computation, signal processing, and graphics in an easy-to-use envionment where problems and solutions are expressed just as they are written mathematically--without traditional programming.
MINPACK is a library of Fortran routines for the solution of non-linear, multivariate minimization problems.
FFTW is a C subroutine library for computing the discrete Fourier transform (DFT) in one or more dimensions, of arbitrary input size, and of both real and complex data. It is portable and performs well on a wide variety of platforms.
The AMD Core Math Library (ACML) is a set of numerical routines tuned specifically for AMD64 platform processors (including Opteron™ and Athlon™64 ). The routines, which are available via both FORTRAN 77 and C interfaces, include BLAS, LAPACK, FFT, RND, and many others.