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Zusatztext This book provides an excellent overview of optimal computational methods for the solution of nonlinear equations, for fixed points of contractive and noncontractive mappings, as well as for the topolgical degree ... I believe it is an excellent book, and thus strongly recommend it. Klappentext 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. Zusammenfassung 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. Chapters end with exercises, including companies and open-ended research-based work. Inhaltsverzeichnis 1: Introduction 1.1: Formulation of the Problem 1.2: Annotations 1.3: Bibliography 2: Nonlinear Equations 2.1: Univariate Problems 2.2: Multivariate Problems 2.3: Annotations 2.4: Bibliography 3: Fixed Points - Contractive 3.1: Univariate Problems 3.2: Multivariate Problems 3.3: Annotations 3.4: Bibliography 4: Fixed Points - Noncontractives 4.1: Univariate Problems 4.2: Multivariate Problems 4.3: Annotations 4.4: Bibliography 5: Topological Degree Computation 5.1: Two Dimensional Lipschitz Functions 5.2: Lipschitz Functions in D-Dimensions 5.3: Annotations 5.4: Bibliography ...
