Linear algebra on high performance computers

Linear Algebra on High Performance Computers

This is a survey of some work recently done at Argonne National Laboratory in an attempt to discover ways to construct numerical software for high performance computers. The numerical algorithms discussed are taken from several areas of numerical linear algebra. We discuss certain architectural features of advanced computer architectures that will affect the design of algorithms. The technique ...

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Software Libraries for Linear Algebra Computations on High Performance Computers

This paper discusses the design of linear algebra libraries for high performance computers. Particular emphasis is placed on the development of scalable algorithms for MIMD distributed memory concurrent computers. A brief description of the EISPACK, LINPACK, and LAPACK libraries is given, followed by an outline of ScaLAPACK, which is a distributed memory version of LAPACK currently under develo...

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Software Libraries for Linear Algebra Computations on High Performance Computers 1 Software Libraries for Linear Algebra Computations on High Performance Computers

This paper discusses the design of linear algebra libraries for high performance computers. Particular emphasis is placed on the development of scalable algorithms for MIMD distributed memory concurrent computers. A brief description of the EISPACK, LINPACK, and LAPACK libraries is given, followed by an outline of ScaLAPACK, which is a distributed memory version of LAPACK currently under develo...

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Design of Linear Algebra Libraries for High Performance Computers

This paper discusses the design of linear algebra libraries for high performance computers. Particular emphasis is placed on the development of scalable algorithms for MIMD distributed memory concurrent computers. A brief description of the EISPACK, LINPACK, and LAPACK libraries is given, followed by an outline of ScaLAPACK, which is a distributed memory version of LAPACK currently under develo...

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Crpc Research Into Linear Algebra Software for High Performance Computers

In this paper we look at a number of approaches being investigated in the Center for Research on Parallel Computation (CRPC) to develop linear algebra software for high-performance computers. These approaches are exempliied by the LAPACK, templates, and ARPACK projects. LAPACK is a software library for performing dense and banded linear algebra computations, and was designed to run eeciently on...

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Linear algebra on high performance computers

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