2008Journal of Jiangsu Polytechnic UniversityRequires access

A Preconditioner for the Restarted GMRES Method

Tong Kai-yu

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Abstract

The restarted GMRES algorithm proposed by Saad and Schultz is one of the most popular iterative methods for the solution of large linear systems.This algorithm is particularly attractive when a good preconditioner is obtained.This paper describes a new method for determining preconditioners.Numerical results indicate that the new preconditioner is very effective.

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What this paper is about

The restarted GMRES algorithm proposed by Saad and Schultz is one of the most popular iterative methods for the solution of large linear systems.This algorithm is particularly attractive when a good preconditioner is obtained.This paper describes a new method for determining preconditioners.Numerical results indicate that the new preconditioner is very effective.

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Available abstract

The restarted GMRES algorithm proposed by Saad and Schultz is one of the most popular iterative methods for the solution of large linear systems.This algorithm is particularly attractive when a good preconditioner is obtained.This paper describes a new method for determining preconditioners.Numerical results indicate that the new preconditioner is very effective.

Key concepts: Preconditioner, Generalized minimal residual method, Iterative method, Linear system, Computer science, Applied mathematics, Mathematics, Mathematical optimization

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