On a monotone Newton-like method
type: Item
instance of: scholarly article
title: On a monotone Newton-like method
zbMATH Open document ID: 0627.65050
DOI: 10.1007/BF02309557
published in: Computing
publication date: 1987-01-01T00:00:00Z
review text: We present an iterative algorithm for solving nonlinear systems of equations which is monotonically and superlinearly convergent for a large class of problems. In the construction of the algorithm we use some fixed bounds of the second derivatives. For convex mappings the algorithm reduces to the Newton-Fourier method.
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 4020338
zbMATH Keywords: superlinear convergence
zbMATH Keywords: Newton-like methods
zbMATH Keywords: monotone convergence
zbMATH Keywords: convex mappings
zbMATH Keywords: Newton-Fourier method
author: Florian A. Potra
MaRDI profile type: Publication
cites work: Q3860750
cites work: A Characterization of Superlinear Convergence and Its Application to Quasi-Newton Methods
cites work: Q3702408
cites work: Q3958929
cites work: Monotone Iterations for Nonlinear Equations with Application to Gauss-Seidel Methods
cites work: Q5652137
cites work: Newton-like methods with monotone convergence for solving nonlinear operator equations
cites work: Q3343091
cites work: On the monotone convergence of Newton's method
cites work: Q3707258
cites work: Q5667426
cites work: Eingrenzung von Lösungen mit Hilfe der Regula falsi. (Inclusion of solutions by regula falsi)
full work available at URL: https://doi.org/10.1007/bf02309557
OpenAlex ID: W170742541
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description: scientific article; zbMATH DE number 4020338