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2013•Mathematical Problems in EngineeringOpen access

Convergence of the GAOR Method for One Subclass of H -Matrix

Guangbin Wang, Ting Wang

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Abstract

We discuss the convergence of the GAOR method to solve linear system which occurred in solving the weighted linear least squares problem. Moreover, we present one convergence theorem of the GAOR method when the coefficient matrix is a strictly doublyαdiagonally dominant matrix which is a nonsingular H -matrix. Finally, we show that our results are better than previous ones by using four numerical examples.

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What this paper is about

We discuss the convergence of the GAOR method to solve linear system which occurred in solving the weighted linear least squares problem. Moreover, we present one convergence theorem of the GAOR method when the coefficient matrix is a strictly doublyαdiagonally dominant matrix which is a nonsingular H -matrix. Finally, we show that our results are better than previous ones by using four numerical examples.

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Available abstract

We discuss the convergence of the GAOR method to solve linear system which occurred in solving the weighted linear least squares problem. Moreover, we present one convergence theorem of the GAOR method when the coefficient matrix is a strictly doublyαdiagonally dominant matrix which is a nonsingular H -matrix. Finally, we show that our results are better than previous ones by using four numerical examples.

Key concepts: Invertible matrix, Convergence (economics), Algorithm, Mathematics, Matrix (chemical analysis), Applied mathematics, Pure mathematics, Chemistry

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