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Iterative Solution of Nonlinear Equations in Several Variables

1st Edition - July 31, 1970

Authors: J. M. Ortega, W. C. Rheinboldt

Editor: Werner Rheinboldt

Language: English
eBook ISBN:
9 7 8 - 1 - 4 8 3 2 - 7 6 7 2 - 4

Computer Science and Applied Mathematics: Iterative Solution of Nonlinear Equations in Several Variables presents a survey of the basic theoretical results about nonlinear… Read more

Iterative Solution of Nonlinear Equations in Several Variables

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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.