Different methods for solving STEM problems View Full Text


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Article Info

DATE

2018-09-25

AUTHORS

Ioannis K. Argyros, Á. A. Magreñán, L. Orcos, Íñígo Sarría, Juan Antonio Sicilia

ABSTRACT

We first present a local convergence analysis for some families of fourth and six order methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Earlier studies have used hypotheses on the fourth Fréchet-derivative of the operator involved. We use hypotheses only on the first Fréchet-derivative in one local convergence analysis. This way, the applicability of these methods is extended. Moreover, the radius of convergence and computable error bounds on the distances involved are also given in this study based on Lipschitz constants. Numerical examples illustrating the theoretical results are also presented in this study. More... »

PAGES

1268-1281

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10910-018-0950-1

DOI

http://dx.doi.org/10.1007/s10910-018-0950-1

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1107226142


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