Newton-Type Methods for Optimization and Variational Problems

Language: English

Published by Springer, Palgrave Macmillan Sep 2016, 2016

3319353845 / 9783319353845

Series: Book 26 of 43 - Springer Series in Operations Research and Financial Engineering

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This item is printed on demand - Print on Demand Titel. 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 KG, Sachsenplatz 4-6, 1201 Wien 596 pp. Englisch.…

Seller Inventory # 9783319353845

Title
Newton-Type Methods for Optimization and Variational Problems
Author
Alexey F. Izmailov
Publisher
Springer, Palgrave Macmillan Sep 2016
Publication year
2016
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3319353845
ISBN 13
9783319353845
Item weight
890 grams
Dimensions
235x155x32 mm
Series
Book 26 of 43: Springer Series in Operations Research and Financial Engineering

buchversandmimpf2000

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