The Multi-Parameters Overrelaxation Method

The Multi-Parameters Overrelaxation Method

Year:    1998

Author:    Wen Li, Zhaoyong You

Journal of Computational Mathematics, Vol. 16 (1998), Iss. 4 : pp. 367–374

Abstract

In this paper, first, we present the comparison theorem and the (generalized) Stein-Rosenberg theorem for the GMPOR method, which improves some recent results$^{[9,11,13]}$. Second, we also give the convergent theorem of the GMPOR method, which generalizes the corresponding result of [9]. Finally, we provide the real interval such that the generalized extrapolated Jacobi iterative method and the generalized SOR methods simultaneously converge, one of the main results in [1] is extended.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1998-JCM-9167

Journal of Computational Mathematics, Vol. 16 (1998), Iss. 4 : pp. 367–374

Published online:    1998-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    GMPOR iterative method convergence comparison theorem Stein-Rosenberg theorem.

Author Details

Wen Li

Zhaoyong You