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Overview
^IOptimal Solution of Nonlinear Equations^R is a text/monograph designed to provide an overview of optimal computational methods for the solution of nonlinear equations, fixed points of contractive and noncontractive mapping, and for the computation of the topological degree.It is of interest to any reader working in the area of Information-Based Complexity. The worst-case settings are analyzed here. Several classes of functions are studied with special empahsis on tight complexity bounds and methods which are close to or achieve these bounds. Each chapter ends with exercises, including companies and open-ended research based exercises.
Synopsis
Optimal Solution of Nonlinear Equations is a text/monograph designed to provide an overview of optimal computational methods for the solution of nonlinear equations, fixed points of contractive and noncontractive mapping, and for the computation of the topological degree. It is of interest to any reader working in the area of Information-Based Complexity. The worst-case settings are analyzed here. Several classes of functions are studied with special emphasis on tight complexity bounds and methods which are close to or achieve these bounds. Each chapter ends with exercises, including companies and open-ended research based exercises.
Booknews
Sikorski (a mathematician whose academic affiliations are not noted) provides an overview of optimal computations methods for the solution of nonlinear equations, fixed points of contractive and noncontractive mappings, and for the computation of the topological degree. Several classes of functions are examined, with emphasis placed on tight complexity bounds and methods that are close to or achieve these bounds. Pseudocodes and numerical tests of several methods are shown. A set of exercises follows each section of the text. Annotation c. Book News, Inc., Portland, OR (booknews.com)