Abstract
We prove some relationships between the order of convergence of the total step method for a given operator and corresponding chaotic iterations. In particular we establish conditions under which superlinear convergence is preserved in the chaotic case.
Zusammenfassung
Wir beweisen Zusammenhänge zwischen der Konvergenzordnung des Gesamtschrittverfahrens für einen gegebenen Operator und zugehörigen chaotischen Iterationsverfahren. Insbesondere stellen wir Bedingungen auf, unter denen überlineare Konvergenz im chaotischen Fall erhalten bleibt.
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Dedicated to W. L. Mirankev on the occasionof his 60th birthday
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Frommer, A. Orders of convergence for superlineary convergent chaotic iterations. Computing 47, 97–101 (1991). https://doi.org/10.1007/BF02242025
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DOI: https://doi.org/10.1007/BF02242025