OnQ-order andR-order of convergence

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1989 English Publisher:Springer Science and Business Media LLCJournal:Journal of Optimization Theory and Applications, volume 63, pages 415-431 (issn: 0022-3239, eissn: 1573-2878,

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Authors: Potra, F. A.;

doi: 10.1007/bf00939805

OnQ-order andR-order of convergence

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Abstract

We give sufficient conditions for a sequence to have the Q-order and/or the R-order of convergence greater than one. If an additional condition is satisfied, then the sequence has an exact Q-order of convergence. We show that our results are sharp and we compare them with older results.

Related Organizations

University of Iowa
United States

Keywords

Q-order of convergence, nonlinear iteration, Numerical computation of solutions to systems of equations, R-order of convergence

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