Titlebook: Numerical Algorithms for Modern Parallel Computer Architectures; Martin Schultz Conference proceedings 1988 Springer-Verlag New York Inc.

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978-1-4684-6359-0Springer-Verlag New York Inc. 1988

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Numerical Algorithms for Modern Parallel Computer Architectures978-1-4684-6357-6Series ISSN 0940-6573 Series E-ISSN 2198-3224

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A Look at the Evolution of Mathematical Software for Dense Matrix Problems over the Past Fifteen YeIn this paper we look at the evolution which has taken place in the design of mathematical software for dense matrix problems. Our main emphasis is on algorithms for solving linear algebra problems where the software we develop would reside in a library on high-performance computers.

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Block Algorithms for Parallel Machines,In this paper we discuss block methods in matrix computation and the role they are beginning to play on parallel computers.

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The LCAP System: An Example of a Multicomputer,Suppose we have a supercomputer which is too slow. What can we do to get more speed? It is now very fashionable to think of “going parallel.” In this paper we describe one approach called the LCAP system developed by IBM/Kingston and Scientific Computing Associates (SCA). The goals of the LCAP project were to:

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Systolic Algorithms for the Parallel Solution of Dense Symmetric Positive-Definite Toeplitz Systemscursions we will show that all three phases of the Toeplitz system solution process: factorisation, forward elimination and backsubstitution, can be based on Schur recursions. This increased exploitation of the Toeplitz structure then leads to more efficient parallel implementations on systolic arrays.

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0940-6573 omputer science, and application aspects of parallel scientific computing. Major advances are discussed dealing with multiprocessor architectures, parallel algorithm development and analysis, parallel systems and programming languages. The optimization of the application of massively parallel archit

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A Graphical Approach to Load Balancing and Sparse Matrix Vector Multiplication on the Hypercube,cursive bisection, which can be applied to general problems and is successful on this test case. The performance of the concurrent computer depends strongly on any correlations in the placement of non zero elements of ..