TY - BOOK AU - AU - ED - SpringerLink (Online service) TI - Linear and Nonlinear Programming T2 - International Series in Operations Research & Management Science, SN - 9780387745039 AV - QA402-402.37 U1 - 519.6 23 PY - 2008/// CY - Boston, MA PB - Springer US KW - Mathematics KW - Mathematical optimization KW - Operations research KW - Industrial engineering KW - Engineering economy KW - Operations Research, Mathematical Programming KW - Operations Research/Decision Theory KW - Optimization KW - Mathematical Modeling and Industrial Mathematics KW - Engineering Economics, Organization, Logistics, Marketing KW - Industrial and Production Engineering N1 - Linear Programming -- Basic Properties of Linear Programs -- The Simplex Method -- Duality -- Interior-Point Methods -- Transportation and Network Flow Problems -- Unconstrained Problems -- Basic Properties of Solutions and Algorithms -- Basic Descent Methods -- Conjugate Direction Methods -- Quasi-Newton Methods -- Constrained Minimization -- Constrained Minimization Conditions -- Primal Methods -- Penalty and Barrier Methods -- Dual and Cutting Plane Methods -- Primal-Dual Methods; ZDB-2-SMA N2 - "Linear and Nonlinear Programming" is considered a classic textbook in Optimization. While it is a classic, it also reflects modern theoretical insights. These insights provide structure to what might otherwise be simply a collection of techniques and results, and this is valuable both as a means for learning existing material and for developing new results. One major insight of this type is the connection between the purely analytical character of an optimization problem, expressed perhaps by properties of the necessary conditions, and the behavior of algorithms used to solve a problem. This was a major theme of the first and second editions. Now the third edition has been completely updated with recent Optimization Methods. Yinyu Ye has written chapters and chapter material on a number of these areas including Interior Point Methods. This book is designed for either self-study by professionals or classroom work at the undergraduate or graduate level for technical students. Like the field of optimization itself, which involves many classical disciplines, the book should be useful to system analysts, operations researchers, numerical analysts, management scientists, and other specialists UR - http://dx.doi.org/10.1007/978-0-387-74503-9 ER -