On the optimal selection of the relaxation constant in the JOR method

Authors

  • Slobodan Lakić University of Novi Sad, Serbia
  • Ferenc Szidarovszky University of Arizona, Tucson, Arizona, USA

DOI:

https://doi.org/10.33993/jnaat321-735

Keywords:

overrelaxation, eigenvalue bounds, speed of convergence
Abstract views: 179

Abstract

In this paper we suggest a method for the quasi-optimal selection of the relaxation constant in the Jacobi overrelaxation (JOR) method. It is assumed that the eigenvalues of the coefficient matrix belong to a rectangular region. Our estimates may lead to better parameter choices than earlier results on circular regions.

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References

Lakić, S., A Quasi-Optimum JOR Method, Rev. Anal. Numér. Théor. Approx., 24 nos. 1-2, pp. 165-167, 1995, http://ictp.acad.ro/jnaat/journal/article/view/1995-vol24-nos1-2-art17

Young, D. M., Iterative Solution of Large Linear Systems, Academic Press, New York/London, 1971.

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Published

2003-02-01

How to Cite

Lakić, S., & Szidarovszky, F. (2003). On the optimal selection of the relaxation constant in the JOR method. Rev. Anal. Numér. Théor. Approx., 32(1), 69–71. https://doi.org/10.33993/jnaat321-735

Issue

Vol. 32 No. 1 (2003)

Section

Articles

License

Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

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