New improved convergence analysis for Newton-like methods with applications
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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
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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
First-Order Frameworks for Continuous Newton-like Dynamics Governed by Maximally Monotone Operators
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DOI: 10.1007/s11228-021-00593-1
Abstract: In a Hilbert framework, we discuss a continuous Newton-like model that is well-adapted in view to numerical purposes for solving convex minimization and more general monotone inclusion problems. Algorithmic solutions to these problems were recently… read more here.
Keywords: newton like; maximally monotone; first order; continuous newton ... See more keywords
New Quantum Mercer Estimates of Simpson-Newton-like Inequalities via Convexity
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DOI: 10.3390/sym14091935
Abstract: Recently, developments and extensions of quadrature inequalities in quantum calculus have been extensively studied. As a result, several quantum extensions of Simpson’s and Newton’s estimates are examined in order to explore different directions in quantum… read more here.
Keywords: simpson newton; mercer; new quantum; like inequalities ... See more keywords
The local and semilocal convergence analysis of new Newton-like iteration methods
Sign Up to like & getrecommendations! Published in 2018 at "Turkish Journal of Mathematics"
DOI: 10.3906/mat-1505-16
Abstract: The aim of this paper is to find new iterative Newton-like schemes inspired by the modified Newton iterative algorithm and prove that these iterations are faster than the existing ones in the literature. We further… read more here.
Keywords: local semilocal; newton like; convergence analysis; newton ... See more keywords