Titlebook: Computer Algorithms for Solving Linear Algebraic Equations; The State of the Art Emilio Spedicato Conference proceedings 1991 Springer-Verl

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Conference proceedings 1991eed a completely new formulation, and algorithms that were not recommended in a sequential framework may become the best choice. The aim of the ASI was to present the state of the art in this field. While not all important aspects could be covered (for instance there is no presentation of methods us

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Paul J. J. Welfens,Andreas Schwarzal equations ..(.) = 0 and preconditioned are surveyed. In least squares problems arising from multidimensional models the matrices often possess a block structure, perhaps at several levels, which reflects a “local connection” structure in the underlying physical problem. For such problems parallel

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0258-1248 the ASI was to present the state of the art in this field. While not all important aspects could be covered (for instance there is no presentation of methods us978-3-642-76719-7978-3-642-76717-3Series ISSN 0258-1248

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Procedural Statements and Routines,equential algorithm. We then apply these tools to Gauss-Jordan method, several Gaussian elimination algorithms, Cholesky decomposition and Doolittle reduction and QR factorization. In a second part, we examine the parallelization of Givens factorization and review several complexity results.

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Procedural Statements and Routines,. We then discuss the development of two codes, one for the solution of general sparse equations, the other for sparse symmetric indefinite systems. Some results on vector multiprocessor supercomputers are presented to illustrate the behaviour of our approaches.

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