Michael Patriksson Livres

Focusing on the interconnectedness of algorithms in nonlinear programming and variational inequality problems, this book introduces the Cost Approximation framework. It presents a systematic approach to understanding algorithms through approximating mappings, iteration updates, and a merit function for monitoring convergence. By consolidating diverse methods, it offers an intuitive tool for comparing and relating algorithms, maintaining a level of detail that aligns with the original problem statements. This work aims to enhance comprehension and facilitate connections within the field.

"This unique monograph, a classic in its field, provides an account of the development of models and methods for the problem of estimating equilibrium traffic flows in urban areas. The text further demonstrates the scope and limits of current models. Some familiarity with nonlinear programming theory and techniques is assumed. 1994 edition"--

This treatment focuses on the analysis and algebra underlying the workings of convexity and duality and necessary/sufficient local/global optimality conditions for unconstrained and constrained optimization problems. 2015 edition.