Newton-Type Methods for Optimization and Variational Problems

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 enjo...

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Bibliographic Details
Main Authors: Izmailov, Alexey F., Solodov, Mikhail V. (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2014, 2014
Edition:1st ed. 2014
Series:Springer Series in Operations Research and Financial Engineering
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 1. Elements of optimization theory and variational analysis
  • 2. Equations and unconstrained optimization
  • 3. Variational problems: local methods
  • 4. Constrained optimization: local methods
  • 5. Variational problems: globalization of convergence
  • 6. Constrained optimization: globalization of convergence
  • 7. Degenerate problems with non-isolated solutions
  • A. Miscellaneous material