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Optimum second order stationary extrapolated iterative schemes

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  • Avdelas, G.
  • Hadjidimos, A.

Abstract

In this paper the construction of a stationary second order scheme of de Phillis' type, with optimal convergence rates, for the solution of a linear system is presented. Numerical tests have shown that the new scheme compares favorably with the very fast nonstationary second order one proposed by Manteuffel. It is also proved that a class of already known second order Extrapolated Alternating Direction Implicit schemes can be obtained directly by using the methods of this paper.

Suggested Citation

  • Avdelas, G. & Hadjidimos, A., 1983. "Optimum second order stationary extrapolated iterative schemes," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 25(3), pages 189-198.
  • Handle: RePEc:eee:matcom:v:25:y:1983:i:3:p:189-198
    DOI: 10.1016/0378-4754(83)90091-5
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    Cited by:

    1. Galanis, S. & Hadjidimos, A. & Noutsos, D., 1986. "On different classes of monoparametric stationary iterative methods for the solution of linear systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 28(2), pages 115-128.

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