BIT Numerical Mathematics

, Volume 26, Issue 3, pp 369–376 | Cite as

Generalized consistent orderings and the Accelerated Overrelaxation method

  • Yiannis G. Saridakis
Part II Numerical Mathematics

Abstract

In this paper, the behavior of the block Accelerated Overrelaxation (AOR) iterative method, when applied to linear systems with a generalized consistently ordered coefficient matrix, is investigated. An equation, relating the eigenvalues of the block Jacobi iteration matrix to the eigenvalues of its associated block AOR iteration matrix, as well as sufficient conditions for the convergence of the block AOR method, are obtained.

Subject Classifications AMS (MOS)

65F10 65F15 65F40 CR: G.1.3 

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Copyright information

© BIT Foundations 1986

Authors and Affiliations

  • Yiannis G. Saridakis
    • 1
  1. 1.Department of Mathematics and Computer ScienceClarkson UniversityPotsdamUSA

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