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LINPACK is a software library for performing numerical linear algebra on digital computers. It was written in Fortran by Jack Dongarra, Jim Bunch, Cleve Moler, and Pete Stewart. Designed for use on supercomputers in the 1970s and early 1980s, it has been largely superseded by LAPACK, which will run more efficiently on modern architectures. Illustration of an application which may use libvorbisfile. ...
Linear algebra is the branch of mathematics concerned with the study of vectors, vector spaces (or linear spaces), linear transformations, and systems of linear equations. ...
Fortran (also FORTRAN) is a statically typed, compiled (sometimes interpreted), imperative, computer programming language originally developed in the 1950s and still heavily used for scientific computing and numerical computation half a century later. ...
Jack Dongarra is a University Distinguished Professor of Computer Science in the Computer Science Department [1] at the University of Tennessee. ...
Cleve B. Moler is a mathematician and computer programmer specializing in numerical analysis. ...
A supercomputer is a computer that leads the world in terms of processing capacity, particularly speed of calculation, at the time of its introduction. ...
LAPACK, the Linear Algebra PACKage, is a software library for numerical computing written in Fortran 77. ...
LINPACK makes use of the BLAS (Basic Linear Algebra Subprograms) libraries for performing basic vector and matrix operations. Basic Linear Algebra Subprograms (BLAS) are routines which perform basic linear algebra operations such as vector and matrix multiplication. ...
The LINPACK Benchmark is based on LINPACK, representing a measure of a system's floating point computing power. Introduced by Jack Dongarra, it measures how fast a computer solves dense n by n systems of linear equations Ax=b, a common task in engineering. The solution is based on Gaussian elimination with partial pivoting, with 2/3*n^3 + n^2 floating point operations. The result is Millions of floating point operations per second(Mflop/s). A floating-point number is a digital representation for a number in a certain subset of the rational numbers, and is often used to approximate an arbitrary real number on a computer. ...
In mathematics and linear algebra, a system of linear equations is a set of linear equations such as 3x1 + 2x2 − x3 = 1 2x1 − 2x2 + 4x3 = −2 −x1 + ½x2 − x3 = 0. ...
Engineering applies scientific and technical knowledge to solve human problems. ...
For large scale distributed memory systems, the performance of a portable implementation of the High-Performance Linpack Benchmark link is used as a performance measure for ranking supercomputers in the TOP500 list of the world's fastest computers. The benchmark is run for different matrix sizes n searching for the size Nmax for which the maximal performance Rmax is obtained. The benchmark also reports the problem size N1/2 where half of the performance (Rmax/2) is achived. The website TOP500 (www. ...
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