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Winter 1993 Accelerated MSOR Method
Saadat Moussavi
Missouri J. Math. Sci. 5(1): 24-38 (Winter 1993). DOI: 10.35834/1993/0501024

Abstract

Since the development of the "SOR'' method by David Young [3], there has been a strong interest to use more than one parameter for SOR to improve the convergence [13], [14], [15] and [16].

D. Young himself considered a two parametric method called "MSOR''. The two parameters weight the diagonal of positive-definite and consistently ordered 2-cyclic matrix [6], removing Young's hypothesis that the eigenvalues of Jacobi iteration matrix must all be real. We prove for certain cases that when "SOR'' diverges, the two parametric method converges.

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Saadat Moussavi. "Accelerated MSOR Method." Missouri J. Math. Sci. 5 (1) 24 - 38, Winter 1993. https://doi.org/10.35834/1993/0501024

Information

Published: Winter 1993
First available in Project Euclid: 18 January 2020

MathSciNet: MR2503815
Digital Object Identifier: 10.35834/1993/0501024

Rights: Copyright © 1993 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.5 • No. 1 • Winter 1993
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