Newton-Type Methods for Optimization and Variational Problems (Springer Series in Operations Research and Financial Engineering)
Izmailov, Alexey F.; Solodov, Mikhail V.
ISBN 10: 3319353845 ISBN 13: 9783319353845
Editorial: Springer, 2016
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Print on Demand pp. 573. N° de ref. del artículo 371827831
Sinopsis:
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.
De la contraportada: 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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Detalles bibliográficos
Título: Newton-Type Methods for Optimization and ...
Editorial: Springer
Año de publicación: 2016
Encuadernación: Encuadernación de tapa blanda
Condición: New
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Newton-Type Methods for Optimization and Variational Problems
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Springer International Publishing, 2016
ISBN 10: 3319353845
ISBN 13: 9783319353845
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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: 448746721
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Newton-Type Methods for Optimization and Variational Problems
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ISBN 13: 9783319353845
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Taschenbuch. 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: 9783319353845
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Newton-Type Methods for Optimization and Variational Problems
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ISBN 10: 3319353845
ISBN 13: 9783319353845
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Taschenbuch. 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: 9783319353845
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Newton-type Methods for Optimization and Variational Problems
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Newton-Type Methods for Optimization and Variational Problems
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ISBN 10: 3319353845
ISBN 13: 9783319353845
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Taschenbuch. Condición: Neu. Newton-Type Methods for Optimization and Variational Problems | Mikhail V. Solodov (u. a.) | Taschenbuch | xix | Englisch | 2016 | Springer International Publishing | EAN 9783319353845 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Nº de ref. del artículo: 103163811
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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, Springer International Publishing Sep 2016, 2016
ISBN 10: 3319353845
ISBN 13: 9783319353845
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Taschenbuch. Condición: Neu. 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 596 pp. Englisch. Nº de ref. del artículo: 9783319353845
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Newton-type Methods for Optimization and Variational Problems
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Newton-Type Methods for Optimization and Variational Problems (Springer Series in Operations Research and Financial Engineering)
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