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

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Systolic Algorithms for the Parallel Solution of Dense Symmetric Positive-Definite Toeplitz Systems, whose intermediate vectors form the Cholesky factor of the inverse of the Toeplitz matrix. However, Levinson’s method is not amenable to efficient parallel implementation. In contrast, use of the Schur algorithm, whose intermediate vectors form the Cholesky factor of the Toeplitz matrix proper, ma
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Ensemble Architectures and their Algorithms: An Overview,e systems vary from a few up to 64. processors for the Connection Machine. In this paper we discuss some of the technology issues that are the underlying driving force, and focus on a particular class of parallel computer architectures often called Ensemble Architectures. They are interesting candid
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Problem Decomposition and Communication Tradeoffs in a Shared-Memory Multiprocessor,on either shared memory or message passing. The choice of model affects the decomposition of the problem into parallel processes and the resultant granularity of communication. An architecture, such as the Butterfly, that supports both models offers the programmer a wide range of choices for problem
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A Block QR Factorization Scheme for Loosely Coupled Systems of Array Processors,ctorization has a prominent role to play in numerical linear algebra especially because of its bearing on the least square problem. A detailed description of the QR factorization and the various ways that it can be computed may be found in Golub and Van Loan (1983).
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