This work is intended to serve as a guide for graduate students and researchers who wish to get acquainted with the main theoretical and practical tools for the numerical minimization of convex functions on Hilbert spaces. Therefore, it contains the main tools that are necessary…
"This book provides a self-contained introduction to optimal transport, and it is intended as a starting point for any researcher who wants to enter into this beautiful subject.The presentation focuses on the essential topics of the theory: Kantorovich duality, existence and uni…
This text is a brief introduction to various quantitative methods used in economic decision making, including input-output, inventory control and Markhov chains. It provides basic models that can be utilized to solve real-world problems.
This monograph collects cutting-edge results and techniques for solving nonlinear partial differential equations using critical points. Including many of the authors own contributions, a range of proofs are conveniently collected here, Because the material is approached with rig…
For junior/senior undergraduate and first-year graduate courses in Operations Research in departments of Industrial Engineering, Business Administration, Statistics, Computer Science, and Mathematics. Operations Research provides a broad focus on algorithmic and practical implem…
"Designed for graduate and advanced undergraduate students, this text provides a much-needed contemporary introduction to optimization. Emphasizing general problems and the underlying theory, it covers the fundamental problems of constrained and unconstrained optimization, linea…
Concepts of Combinatorial Optimization, is divided into three parts: - On the complexity of combinatorial optimization problems, presenting basics about worst-case and randomized complexity; - Classical solution methods, presenting the two most-known methods for solving hard com…
Set-valued optimization is a vibrant and expanding branch of mathematics that deals with optimization problems where the objective map and/or the constraints maps are set-valued maps acting between certain spaces. Since set-valued maps subsumes single valued maps, set-valued opt…
