Iterative methods in linear algebra : proceedings of the IMACS International Symposium on Iterative Methods in Linear Algebra, Brussels, Belgium, 2-4 April, 1991

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書誌事項

Iterative methods in linear algebra : proceedings of the IMACS International Symposium on Iterative Methods in Linear Algebra, Brussels, Belgium, 2-4 April, 1991

edited by R. Beauwens, P. de Groen

North-Holland , Distributors for the U.S. and Canada, Elsevier Science Pub. Co., 1992

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注記

A symposium organized jointly by the International Association for Mathematics and Computers in Simulation and by the Free Universities of Brussels

Includes index

内容説明・目次

内容説明

This volume contains contributions by leading experts, providing an overview of the state of the art of Iterative Methods in Linear Algebra, and presenting an up-to-date starting point for bibliographical searches. The symposium gathered more than 100 participants from over 25 countries. There were 7 invited lectures (by O. Axelsson, F. Chatelin, D. Kincaid, A. van der Sluis, H.A. van der Vorst, E.L. Wachspress and A.Yu Yeremin) and nearly 70 accepted contributed papers comprising among others, parallel and vector iterative algorithms, methods for solving non-symmetric problems, preconditioned conjugate gradient methods for symmetric problems, spectral methods, numerical methods for the analysis of Markov models and complex variable methods.

目次

Invited lectures. Construction of variable-step preconditioners for inner-outer iteration methods (O. Axelson, P.S. Vassilevski). Elements of a condition theory for the computational analysis of algorithms (F. Chatelin, V. Fraysse). Stationary second-degree iterative methods and recurrences (D.R. Kincaid, D.M. Young). The convergence behaviour of conjugate gradients and Ritz values in various circumstances (A. van der Sluis). Conjugate gradient type methods for nonsymmetric linear systems (H.A. van der Vorst). Consistent sparse factorization (W.P. Noronha, E.L. Wachspress). Sparse approximate inverse preconditionings for solving 3D CFD problems on massively parallel computers (Ju.B. Lifshitz, A.A. Nikishin, A.Yu. Yeremin).

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