High order iterative schemes for quadratic equations
type: Item
instance of: scholarly article
title: High order iterative schemes for quadratic equations
zbMATH Open document ID: 1155.65039
author: Virginia Alarcón
author: Sergio Amat
author: S. Busquier
author: Fernando Manzano
published in: Numerical Algorithms
publication date: 2008-08-20T00:00:00Z
review text: A bi-parametric family of higher-order iterative methods including some well known iterative processes (among them the classical Chebyshev method) is studied for solving quadratic equations. The main advantage of the methods under consideration is that all the corresponding linear systems are associated with the same matrix. A semilocal convergence theorem is proved and some applications to partial differential equations, in particular, for the Poisson equaton is discussed. Finally, some results of numerical experiments confirming the proposed theoretical considerations are presented.
reviewed by: Otu Vaarmann
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 5314383
zbMATH Keywords: quadratic equations
zbMATH Keywords: high-order of convergence
zbMATH Keywords: semilocal convergence
zbMATH Keywords: fast multiresolution algorithms
zbMATH Keywords: Poisson's equation
zbMATH Keywords: iterative methods
zbMATH Keywords: Chebyshev method
zbMATH Keywords: numerical experiments
describes a project that uses: CSparse
MaRDI profile type: Publication
full work available at URL: s11075-008-9206-7
OpenAlex ID: W1965022963
cites work: An adaptive version of a fourth-order iterative method for quadratic equations
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DOI: 10.1007/S11075-008-9206-7
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description: scientific article; zbMATH DE number 5314383