Method of mixed monotony for nonlinear equations with a singular linear part
type: Item
instance of: scholarly article
title: Method of mixed monotony for nonlinear equations with a singular linear part
zbMATH Open document ID: 0632.65060
DOI: 10.1016/0096-3003(87)90080-4
published in: Applied Mathematics and Computation
publication date: 1987-01-01T00:00:00Z
review text: The idea is to generate, for the equations considered, two monotone sequences which always bracket and converge also to it. Two sets of conditions are stated such that the desired results hold. Speed of convergence and actual computations are not considered.
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 4028766
zbMATH Keywords: singular linear part
zbMATH Keywords: monotony methods
zbMATH Keywords: bracketing of solution
author: V. Lakshmikantham
author: Aghalaya S. Vatsala
MaRDI profile type: Publication
full work available at URL: 0096-3003(87)90080-4
OpenAlex ID: W2012270691
cites work: Some generalizations of positive definiteness and monotonicity
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cites work: Monotone iterative methods for nonlinear equations involving a noninvertible linear part
cites work: The method of mixed monotony and first order differential systems
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cites work: Monotone Iterations for Nonlinear Equations with Application to Gauss-Seidel Methods
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description: scientific article; zbMATH DE number 4028766