Newton-Type Methods for Optimization and Variational Problems

• Main Authors: Izmailov, Alexey F. (Author), Solodov, Mikhail V. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Springer Series in Operations Research and Financial Engineering,
• Subjects: Mathematics.; Mathematical optimization.; Operations research.; Management science.; Operations Research, Management Science.; Continuous Optimization.; Optimization.

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...

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.