Computing Volume 03

Hardbound. Collected together in this book are ten expository articles on the most important topics in optimization, written by leading experts in the field. The book provides a primary reference for those performing research in some area of optimization or for those who have an elementary basic knowledge of optimization techniques but wish to learn the most up-to-date and efficient algorithms for particular classes of problems. The first sections of each chapter are expository and therefore accessible to master's level graduate students. However, the chapters also contain advanced material on current topics of interest to researchers. For instance, there are chapters which describe the polynomial-time linear programming algorithms of Khachian and Karmarkar and the techniques used to solve combinatorial and integer programming problems, an order of magnitude larger than was possible just a few years ago. The work contains a coherent view of the important A View Of Unconstrained Optimization / J.e. Dennis Jr. And R.b. Schnabel -- Linear Programming / D. Goldfarb And M.j. Todd -- Constrained Nonlinear Programming / P.e. Gill ... [et Al.] -- Network Flows / R.k. Ahuja, T.l. Magnanti And J.b. Orlin -- Polyhedral Combinatories / W.r. Pulleyblank -- Integer Programming / G.l. Nemhauser And L.a. Wolsey -- Nondifferentiable Optimization / C. Lemaréchal -- Stochastic Programming / R.j.-b. Wets -- Global Optimization / A.h.g. Rinnooy Kan And G.t. Timmer -- Multiple Criteria Decision Making ; Five Basic Concepts / P.l. Yu. Edited By G.l. Nemhauser, A.h.g. Rinnooy Kan, M.j. Todd. Includes Index. Includes Bibliographical References. This chapter discusses the most basic nonlinear optimization problem in continuous variables, the unconstrained optimization problem.