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G. Montero, M. Galan, P. Cuesta and G. Winter

Centro de Aplicaciones Numericas en Ingenieria (CEANI), Las Palmas de Gran Canaria University, Las Palmas de Gran Canaria, Islas Canarias, Spain

doi:10.4203/ccp.25.8.4

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G. Montero, M. Galan, P. Cuesta, G. Winter, "Effects of Stochastic Ordering on Preconditioned GMRES Algorithm", in B.H.V. Topping, M. Papadrakakis, (Editors), "Advances in Structural Optimization", Civil-Comp Press, Edinburgh, UK, pp 241-246, 1994. doi:10.4203/ccp.25.8.4

Abstract

In this paper we investigate the possible application of stochastic renumbering procedure for the improvement of preconditioner effectiveness for incomplete ILU factorization associated to GMRES method or system resolution.

Simulated annealing procedure for searching a permutation of the matrix is proposed.

Several numerical experiments and test cases are shown which achieve a reduction in the dimension of the Krylov subspace.

This procedure is proposed in the context of the resolution of nonlinear evolutive integral operators solved by Finite element Method discretization.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 25 ADVANCES IN STRUCTURAL OPTIMIZATION Edited by: B.H.V. Topping and M. Papadrakakis Paper VIII.4 Effects of Stochastic Ordering on Preconditioned GMRES Algorithm G. Montero, M. Galan, P. Cuesta and G. Winter Centro de Aplicaciones Numericas en Ingenieria (CEANI), Las Palmas de Gran Canaria University, Las Palmas de Gran Canaria, Islas Canarias, Spain doi:10.4203/ccp.25.8.4 purchase the full-text of this paper Full Bibliographic Reference for this paper G. Montero, M. Galan, P. Cuesta, G. Winter, "Effects of Stochastic Ordering on Preconditioned GMRES Algorithm", in B.H.V. Topping, M. Papadrakakis, (Editors), "Advances in Structural Optimization", Civil-Comp Press, Edinburgh, UK, pp 241-246, 1994. doi:10.4203/ccp.25.8.4 Abstract In this paper we investigate the possible application of stochastic renumbering procedure for the improvement of preconditioner effectiveness for incomplete ILU factorization associated to GMRES method or system resolution. Simulated annealing procedure for searching a permutation of the matrix is proposed. Several numerical experiments and test cases are shown which achieve a reduction in the dimension of the Krylov subspace. This procedure is proposed in the context of the resolution of nonlinear evolutive integral operators solved by Finite element Method discretization. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £60 +P&P)
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