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“This book covers Newton-type methods (in a broad sense) for the solution of optimization and variational problems (like variational inequalities and complementarity problems). ... Several results presented in this book are new and based on recent publications, and cannot be found in any other monograph. ... a useful reference for researchers and graduate students working in the field of optimization and variational analysis.” (Christian Kanzow, Mathematical Reviews, July, 2015)
Reseña del editor
This book presents comprehensive state-of-the-art theoretical analysis of the fundamental Newtonian and Newtonian-related approaches to solving optimization and variational problems. A central focus is the relationship between the basic Newton scheme for a given problem and algorithms that also enjoy fast local convergence. The authors develop general perturbed Newtonian frameworks that preserve fast convergence and consider specific algorithms as particular cases within those frameworks, i.e., as perturbations of the associated basic Newton iterations. This approach yields a set of tools for the unified treatment of various algorithms, including some not of the Newton type per se. Among the new subjects addressed is the class of degenerate problems. In particular, the phenomenon of attraction of Newton iterates to critical Lagrange multipliers and its consequences as well as stabilized Newton methods for variational problems and stabilized sequential quadratic programming for optimization. This volume will be useful to researchers and graduate students in the fields of optimization and variational analysis.
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- EditorialSpringer
- Año de publicación2014
- ISBN 10 3319042467
- ISBN 13 9783319042466
- EncuadernaciónTapa dura
- IdiomaInglés
- Número de páginas596
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EUR 29,69 gastos de envío desde Reino Unido a Estados Unidos de America
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Newton-Type Methods for Optimization and Variational Problems (Springer Series in Operations Research and Financial Engineering)
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Newton-Type Methods for Optimization and Variational Problems
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Springer International Publishing Mrz 2014, 2014
ISBN 10: 3319042467
ISBN 13: 9783319042466
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book presents comprehensive state-of-the-art theoretical analysis of the fundamental Newtonian and Newtonian-related approaches to solving optimization and variational problems. A central focus is the relationship between the basic Newton scheme for a given problem and algorithms that also enjoy fast local convergence. The authors develop general perturbed Newtonian frameworks that preserve fast convergence and consider specific algorithms as particular cases within those frameworks, i.e., as perturbations of the associated basic Newton iterations. This approach yields a set of tools for the unified treatment of various algorithms, including some not of the Newton type per se. Among the new subjects addressed is the class of degenerate problems. In particular, the phenomenon of attraction of Newton iterates to critical Lagrange multipliers and its consequences as well as stabilized Newton methods for variational problems and stabilized sequential quadratic programming for optimization. This volume will be useful to researchers and graduate students in the fields of optimization and variational analysis. 596 pp. Englisch. Nº de ref. del artículo: 9783319042466
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Newton-Type Methods for Optimization and Variational Problems
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Springer International Publishing, 2014
ISBN 10: 3319042467
ISBN 13: 9783319042466
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Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Offers new approaches to optimization algorithms through Newtonian methodsRelevant to researchers in Optimization and Variational AnalysisProvides a unified view of classical as well as recent developments in the field of Newton-type method. Nº de ref. del artículo: 4496922
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Newton-Type Methods for Optimization and Variational Problems
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Springer International Publishing, 2014
ISBN 10: 3319042467
ISBN 13: 9783319042466
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book presents comprehensive state-of-the-art theoretical analysis of the fundamental Newtonian and Newtonian-related approaches to solving optimization and variational problems. A central focus is the relationship between the basic Newton scheme for a given problem and algorithms that also enjoy fast local convergence. The authors develop general perturbed Newtonian frameworks that preserve fast convergence and consider specific algorithms as particular cases within those frameworks, i.e., as perturbations of the associated basic Newton iterations. This approach yields a set of tools for the unified treatment of various algorithms, including some not of the Newton type per se. Among the new subjects addressed is the class of degenerate problems. In particular, the phenomenon of attraction of Newton iterates to critical Lagrange multipliers and its consequences as well as stabilized Newton methods for variational problems and stabilized sequential quadratic programming for optimization. This volume will be useful to researchers and graduate students in the fields of optimization and variational analysis. Nº de ref. del artículo: 9783319042466
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