Beschreibung
This monograph is devoted to a comprehensive treatment of iterative methods for solving nonlinear equations with particular emphasis on semi-local convergence analysis. Theoretical results are applied to engineering, dynamic economic systems, input-output systems, nonlinear and linear differential equations, and optimization problems. Accompanied by many exercises, some with solutions, the book may be used as a supplementary text in the classroom for an advanced course on numericalfunctional analysis.
Inhaltsverzeichnis
Preface.- Table of Contents.- Operators and Equations.- The Newton-Kantorovich (NK) Method.- Applications of the Weaker Version of the (NK) Theorem.- Special Methods.- Newton-Like Methods.- Analytic Computational Complexity: We are Concerned with the Choice of Initial Approximations.- Variational Inequalities.- Convergence Involving Operators with Outer or Generalized Inverses.- Convergence on Generalized Banach Spaces.- Point-to-Set Mappings.- The Newton-Kantorovich Theorem and Mathematical Programming.- Glossary of Symbols.- Bibliography.
Autorenporträt
InhaltsangabeOperators and Equations.- The Newton Kantorovich (NK) Method.- Applications of the Weaker Version of the NK Theorem.- Special Methods.- Newton-like Methods.- Analytic Computational Complexity We Are Concerned with the Choice of Initial Approximations.- Variational Inequalities.- Convergence Involving Operators with Outer or Generalized Inverses.- Convergence on Generalized Banach Spaces: Improving Error Bounds and Weakening of Convergence Conditions.- Point to Set Mappings.- The Newton Kantorovich Theorem and Mathematical Programming.
