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Mathematics of Computation

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The convergence of accelerated overrelaxation iterations


Author: A. J. Hughes-Hallett
Journal: Math. Comp. 47 (1986), 219-223
MSC: Primary 65F10
DOI: https://doi.org/10.1090/S0025-5718-1986-0842131-9
Corrigendum: Math. Comp. 51 (1988), 387.
Corrigendum: Math. Comp. 51 (1988), 387-388.
MathSciNet review: 842131
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Abstract: Accelerated Overrelaxation Iterations extrapolate the standard Successive Overrelaxation Iterations. This paper provides conditions for the convergence of the Accelerated Overrelaxation process; and a conditionally optimal version is derived for solving an arbitrary real linear equation system.


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DOI: https://doi.org/10.1090/S0025-5718-1986-0842131-9
Article copyright: © Copyright 1986 American Mathematical Society