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Umfang: xii, 448 Seiten , Diagramme

ISBN: 0691119155 , 9780691119151

Anmerkung: Literaturverzeichnis: Seiten 431 - 444

Weitere Ausg.: Erscheint auch als Online-Ausgabe Ruszczyński, Andrzej P. Nonlinear Optimization Princeton University Press, 2011 ISBN 9781400841059

Sprache: Englisch

Fachgebiete: Mathematik

Schlagwort(e): Nichtlineare Optimierung ; Nichtlineare Optimierung ; Nichtlineare Optimierung ; Bibliografie ; Lehrbuch

URL: Inhaltsverzeichnis

URL: Inhaltstext

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Umfang: 1 online resource (464 p.) : , 35 line illus.

ISBN: 9781400841059

Inhalt: Optimization is one of the most important areas of modern applied mathematics, with applications in fields from engineering and economics to finance, statistics, management science, and medicine. While many books have addressed its various aspects, Nonlinear Optimization is the first comprehensive treatment that will allow graduate students and researchers to understand its modern ideas, principles, and methods within a reasonable time, but without sacrificing mathematical precision. Andrzej Ruszczynski, a leading expert in the optimization of nonlinear stochastic systems, integrates the theory and the methods of nonlinear optimization in a unified, clear, and mathematically rigorous fashion, with detailed and easy-to-follow proofs illustrated by numerous examples and figures. The book covers convex analysis, the theory of optimality conditions, duality theory, and numerical methods for solving unconstrained and constrained optimization problems. It addresses not only classical material but also modern topics such as optimality conditions and numerical methods for problems involving nondifferentiable functions, semidefinite programming, metric regularity and stability theory of set-constrained systems, and sensitivity analysis of optimization problems. Based on a decade's worth of notes the author compiled in successfully teaching the subject, this book will help readers to understand the mathematical foundations of the modern theory and methods of nonlinear optimization and to analyze new problems, develop optimality theory for them, and choose or construct numerical solution methods. It is a must for anyone seriously interested in optimization.

Anmerkung: Frontmatter -- , Contents -- , Preface -- , Chapter One. Introduction -- , PART 1. Theory -- , Chapter Two. Elements of Convex Analysis -- , Chapter Three. Optimality Conditions -- , Chapter Four. Lagrangian Duality -- , PART 2. Methods -- , Chapter Five. Unconstrained Optimization of Differentiable Functions -- , Chapter Six. Constrained Optimization of Differentiable Functions -- , Chapter Seven. Nondifferentiable Optimization -- , Appendix A. Stability of Set-Constrained Systems -- , Further Reading -- , Bibliography -- , Index , In English.

Sprache: Englisch

DOI: 10.1515/9781400841059

URL: https://doi.org/10.1515/9781400841059

URL: https://www.degruyter.com/isbn/9781400841059

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Umfang: 1 Online-Ressource (xiv, 448 Seiten) : , Illustrationen.

ISBN: 978-1-4008-4105-9

Inhalt: Optimization is one of the most important areas of modern applied mathematics, with applications in fields from engineering and economics to finance, statistics, management science, and medicine. While many books have addressed its various aspects, Nonlinear Optimization is the first comprehensive treatment that will allow graduate students and researchers to understand its modern ideas, principles, and methods within a reasonable time, but without sacrificing mathematical precision. Andrzej Ruszczynski, a leading expert in the optimization of nonlinear stochastic systems, integrates the theory and the methods of nonlinear optimization in a unified, clear, and mathematically rigorous fashion, with detailed and easy-to-follow proofs illustrated by numerous examples and figures. The book covers convex analysis, the theory of optimality conditions, duality theory, and numerical methods for solving unconstrained and constrained optimization problems. It addresses not only classical material but also modern topics such as optimality conditions and numerical methods for problems involving nondifferentiable functions, semidefinite programming, metric regularity and stability theory of set-constrained systems, and sensitivity analysis of optimization problems. Based on a decade's worth of notes the author compiled in successfully teaching the subject, this book will help readers to understand the mathematical foundations of the modern theory and methods of nonlinear optimization and to analyze new problems, develop optimality theory for them, and choose or construct numerical solution methods. It is a must for anyone seriously interested in optimization

Weitere Ausg.: Erscheint auch als Druck-Ausgabe ISBN 978-0-691-11915-1

Sprache: Englisch

Fachgebiete: Mathematik

Schlagwort(e): Nichtlineare Optimierung

DOI: 10.1515/9781400841059

URL: Volltext  (URL des Erstveröffentlichers)