2009AIP conference proceedingsOpen access

A New Preconditioner on Gauss-Seidel Method for H-Matrices

M.T. Darvishi, M. Azimbeigi, Theodore E. Simos, George Psihoyios, Ch. Tsitouras

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Abstract

In order to accelerate the convergency of Gauss‐Seidel method to solve systems of linear equations when the coefficient matrix is an H‐matrix, a new preconditioner is introduced. The convergency of the new preconditioned method is proved.

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In order to accelerate the convergency of Gauss‐Seidel method to solve systems of linear equations when the coefficient matrix is an H‐matrix, a new preconditioner is introduced. The convergency of the new preconditioned method is proved.

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Available abstract

In order to accelerate the convergency of Gauss‐Seidel method to solve systems of linear equations when the coefficient matrix is an H‐matrix, a new preconditioner is introduced. The convergency of the new preconditioned method is proved.

Key concepts: Preconditioner, Gauss–Seidel method, Coefficient matrix, Matrix (chemical analysis), Applied mathematics, Mathematics, Gaussian elimination, Gauss

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