Title: Rates of Convergence for a Class of Iterative Procedures
Abstract: In this paper we shall give an extension of Ostrowski's point of attraction theorem to multistep iterative procedures for finding a zero of a nonljnear function defined on $R^n $. We shall also obtain a rate of convergence statement in terms of the spectral radius of certain matrices. These results will then be applied to a class of procedures obtained by composing one-dimensional iterative methods with the Jacobi and successive-overrelaxation processes. The rate of convergence of these procedures will be shown to be independent of the rate of convergence of the one-dimensional methods.
Publication Year: 1971
Publication Date: 1971-03-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 11
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