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 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...