On the convergence of some generalized iterative methods (Q1074302)
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scientific article; zbMATH DE number 3947517
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the convergence of some generalized iterative methods |
scientific article; zbMATH DE number 3947517 |
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On the convergence of some generalized iterative methods (English)
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1986
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\textit{A. Hadjidimos} [Int. J. Comput. Math. 14, 355-369 (1983; Zbl 0517.65012)] proposed the generalized accelerated overrelaxation method which generalizes the basic iterative methods for the solution of linear systems \(Ax=b\). The difficult problem of determining the various optimum parameters remains open. In this paper some new theoretical results concerning the convergence of the method when A is a real symmetric positive definite or an L-matrix are obtained. Some applications and examples are given.
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accelerated overrelaxation
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optimum parameters
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convergence
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real symmetric positive definite
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L-matrix
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