Convergence of non-stationary parallel multisplitting methods for hermitian positive definite matrices

Author:

Castel M.,Migallón Violeta,Penadés José

Abstract

Non-stationary multisplitting algorithms for the solution of linear systems are studied. Convergence of these algorithms is analyzed when the coefficient matrix of the linear system is hermitian positive definite. Asynchronous versions of these algorithms are considered and their convergence investigated.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference30 articles.

1. Michele Benzi and Daniel B. Szyld, Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods, Tech. Report 95-81, Department of Mathematics, Temple University, Philadelphia, Pa., August 1995. Also available via anonymous ftp at ftp.math.temple.edu in directory pub/szyld. To appear in Numer. Math.

2. Classics in Applied Mathematics;Berman, Abraham,1994

3. Models of parallel chaotic iteration methods;Bru, Rafael;Linear Algebra Appl.,1988

4. Rafael Bru and Robert Fuster, Parallel chaotic extrapolated Jacobi method, Appl. Math. Lett. 3 (1990), no. 4, 65–69.

5. Rafael Bru, Violeta Migallón, and José Penadés, Chaotic inner–outer iterative schemes, Proceedings of the Fifth SIAM Conference on Applied Linear Algebra (J.G. Lewis, ed.), SIAM Press, Philadelphia, 1994, pp. 434–438.

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