New improved convergence analysis for Newton-like methods with applications
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Chemistry"
DOI: 10.1007/s10910-016-0727-3
Abstract: We present a new semilocal convergence analysis for Newton-like methods using restricted convergence domains in a Banach space setting. The main goal of this study is to expand the applicability of these methods in cases… read more here.
Keywords: like methods; newton like; convergence analysis; analysis newton ... See more keywords
Weaker conditions for inexact mutitpoint Newton-like methods
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Chemistry"
DOI: 10.1007/s10910-020-01101-w
Abstract: 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,… read more here.
Keywords: conditions inexact; weaker conditions; mutitpoint newton; like methods ... See more keywords