2008Journal of Anhui UniversityRequires access

Convergence results on the gauss-seidel method of the preconditioner(I+C_α)

Zhaoying Wei

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Abstract

In this paper,the Gauss-Seidel iterative method for solving linear systems of the form Ax=b was discussed.Hadjidimos A proposed a preconditioner(I+Cα).Convergence results of the improving the modified Gauss-Seidel method,referred to as the IMGS,for H matrices were provided.In addition,two numerical examples were given for illustrating the results.

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What this paper is about

In this paper,the Gauss-Seidel iterative method for solving linear systems of the form Ax=b was discussed.Hadjidimos A proposed a preconditioner(I+Cα).Convergence results of the improving the modified Gauss-Seidel method,referred to as the IMGS,for H matrices were provided.In addition,two numerical examples were given for illustrating the results.

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Available abstract

In this paper,the Gauss-Seidel iterative method for solving linear systems of the form Ax=b was discussed.Hadjidimos A proposed a preconditioner(I+Cα).Convergence results of the improving the modified Gauss-Seidel method,referred to as the IMGS,for H matrices were provided.In addition,two numerical examples were given for illustrating the results.

Key concepts: Preconditioner, Gauss–Seidel method, Convergence (economics), Iterative method, Applied mathematics, Mathematics, Gauss, Computer science

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