Iterative Solution of Nonlinear Equations in Several Variables
Author： Ortega J. M.;Rheinboldt W. C.;Rheinboldt Werner
Publisher： Elsevier Science
Publication year： 2014
E-ISBN: 9781483276724
P-ISBN(Paperback): 9780125285506
P-ISBN(Hardback): 9780125285506
Subject： O241.7 nonlinear algebraic equations and numerical method of transcendental equation
Keyword： 数学
Language： ENG
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Description
Computer Science and Applied Mathematics: Iterative Solution of Nonlinear Equations in Several Variables presents a survey of the basic theoretical results about nonlinear equations in n dimensions and analysis of the major iterative methods for their numerical solution.
This book discusses the gradient mappings and minimization, contractions and the continuation property, and degree of a mapping. The general iterative and minimization methods, rates of convergence, and one-step stationary and multistep methods are also elaborated. This text likewise covers the contractions and nonlinear majorants, convergence under partial ordering, and convergence of minimization methods.
This publication is a good reference for specialists and readers with an extensive functional analysis background.