Newton-Type Methods for Optimization and Variational Problems

Business & Finance, Management & Leadership, Operations Research, Nonfiction, Science & Nature, Mathematics, Applied
Cover of the book Newton-Type Methods for Optimization and Variational Problems by Mikhail V. Solodov, Alexey F. Izmailov, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Mikhail V. Solodov, Alexey F. Izmailov ISBN: 9783319042473
Publisher: Springer International Publishing Publication: July 8, 2014
Imprint: Springer Language: English
Author: Mikhail V. Solodov, Alexey F. Izmailov
ISBN: 9783319042473
Publisher: Springer International Publishing
Publication: July 8, 2014
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book A Finite Element Primer for Beginners by Mikhail V. Solodov, Alexey F. Izmailov
Cover of the book Virtual, Augmented and Mixed Reality by Mikhail V. Solodov, Alexey F. Izmailov
Cover of the book Information Search, Integration, and Personalization by Mikhail V. Solodov, Alexey F. Izmailov
Cover of the book Capital Structure in the Modern World by Mikhail V. Solodov, Alexey F. Izmailov
Cover of the book Linguistic Expressions and Semantic Processing by Mikhail V. Solodov, Alexey F. Izmailov
Cover of the book Complex Systems Design & Management by Mikhail V. Solodov, Alexey F. Izmailov
Cover of the book The Eye in Pediatric Systemic Disease by Mikhail V. Solodov, Alexey F. Izmailov
Cover of the book Saved from the Cellar by Mikhail V. Solodov, Alexey F. Izmailov
Cover of the book Black/Africana Communication Theory by Mikhail V. Solodov, Alexey F. Izmailov
Cover of the book Law, Engineering, and the American Right-of-Way by Mikhail V. Solodov, Alexey F. Izmailov
Cover of the book Chromatographic Fingerprint Analysis of Herbal Medicines Volume IV by Mikhail V. Solodov, Alexey F. Izmailov
Cover of the book Surviving Dementia by Mikhail V. Solodov, Alexey F. Izmailov
Cover of the book Neuroimaging of Traumatic Brain Injury by Mikhail V. Solodov, Alexey F. Izmailov
Cover of the book Group Processes by Mikhail V. Solodov, Alexey F. Izmailov
Cover of the book Nanoscience in Food and Agriculture 4 by Mikhail V. Solodov, Alexey F. Izmailov
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy