On the improved Gauss-Seidel method for linear systems

Authors:
Qingbing Liu
Affiliations:
Zhejiang Wanli University, Department of Mathematics, Ningbo, P.R.China
Venue:
CISST'09 Proceedings of the 3rd WSEAS international conference on Circuits, systems, signal and telecommunications
Year:
2009

Citing 3
Cited 0

On the Increase of Convergence Rates of Relaxation Procedures for Elliptic Partial Difference Equations

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On optimal improvements of classical iterative schemes for Z-matrices

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Convergence analysis of the preconditioned Gauss-Seidel method for H-matrices

Computers & Mathematics with Applications

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Abstract

New convergence intervals of parameters αi are derived and applied for solving the modified systems, which enables a better understanding of how parameters should be chosen. The convergence theorem for H-matrix is given. Numerical examples are used to illustrate our results.