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Mathematics of Computation

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Accelerated overrelaxation method

Author: Apostolos Hadjidimos
Journal: Math. Comp. 32 (1978), 149-157
MSC: Primary 65F10
MathSciNet review: 0483340
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Abstract: This paper describes a method for the numerical solution of linear systems of equations. The method is a two-parameter generalization of the Successive Overrelaxation (SOR) method such that when the two parameters involved are equal it coincides with the SOR method. Finally, a numerical example is given to show the superiority of the new method.

References [Enhancements On Off] (What's this?)

  • [1] R. S. VARGA, Matrix Iterative Analysis, Prentice-Hall, Englewood Cliffs, N. J., 1962. MR 0158502 (28:1725)
  • [2] E. L. WACHSPRESS, Iterative Solution of Elliptic Systems and Applications to the Neutron Diffusion Equations of Reactor Physics, Prentice-Hall, Englewood Cliffs, N. J., 1966. MR 0234649 (38:2965)
  • [3] D. M. YOUNG, Iterative Solution of Large Linear Systems, Academic Press, New York and London,1971. MR 0305568 (46:4698)

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Article copyright: © Copyright 1978 American Mathematical Society

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