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Iterative Solution of Nonlinear Equations in Several Variables
J. M. OrtegaW. C. Rheinboldt
出版Elsevier, 2014-05-10
主題Mathematics / General
ISBN14832767249781483276724
URLhttp://books.google.com.hk/books?id=UMDSBQAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.