Weaker conditions for inexact mutitpoint Newton-like methods

Weaker conditions for inexact mutitpoint Newton-like methods

In this paper we study the problem of analyzing the convergence both local and semilocal of inexact Newton-like methods for approximating the solution of an equation in which there exists nondifferentiability. We will impose conditions, to ensure that the method converges, are weaker than in the one...

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Veröffentlicht in:Journal of mathematical chemistry 2020-03, Vol.58 (3), p.706-716
Hauptverfasser: Argyros, Ioannis K., Magreñán, Á. Alberto, Moreno, Daniel, Orcos, Lara, Sicilia, Juan Antonio
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Chemistry
Chemistry and Materials Science
Convergence
Math. Applications in Chemistry
Newton methods
Organic chemistry
Original Paper
Physical Chemistry
Theoretical and Computational Chemistry
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Zusammenfassung:In this paper we study the problem of analyzing the convergence both local and semilocal of inexact Newton-like methods for approximating the solution of an equation in which there exists nondifferentiability. We will impose conditions, to ensure that the method converges, are weaker than in the ones imposed in previous results. The theoretical results shown in this study are applied to a chemical application in order to be proven.
ISSN:0259-9791
1572-8897
DOI:10.1007/s10910-020-01101-w