Newton-Type Methods for Optimization and Variational Problems von Izmailov, Alexey F./ Solodov, Mikhail V: Brand New Hardcover (2014)

Beschreibung

573 pages. 9.75x6.50x1.50 inches. In Stock.

Bestandsnummer des Verk�ufers x-3319042467

Verk�ufer kontaktieren

Diesen Artikel melden

Bibliografische Details

Titel: Newton-Type Methods for Optimization and Variational Problems
Verlag: Springer Verlag
Ver�ffentlichungsdatum: 2014
Sprache: Englisch
ISBN-10: 3319042467
ISBN-13: 9783319042466
Bindung: Hardcover
Zustand: Brand New

�ber diesen Titel

Inhaltsangabe

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.

Von der hinteren Coverseite

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.

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.