Nonlinear Optimization : Methods and Applications

✍ Scribed by H. A. Eiselt, Carl-Louis Sandblom

Publisher: Springer International Publishing
Year: 2019
Tongue: English
Leaves: 374
Series: International Series in Operations Research & Management Science 282
Edition: 1st ed. 2019
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This book provides a comprehensive introduction to nonlinear programming, featuring a broad range of applications and solution methods in the field of continuous optimization. It begins with a summary of classical results on unconstrained optimization, followed by a wealth of applications from a diverse mix of fields, e.g. location analysis, traffic planning, and water quality management, to name but a few. In turn, the book presents a formal description of optimality conditions, followed by an in-depth discussion of the main solution techniques. Each method is formally described, and then fully solved using a numerical example.

✦ Table of Contents

Front Matter ....Pages i-xii
Introduction (H. A. Eiselt, Carl-Louis Sandblom)....Pages 1-23
Unconstrained Optimization (H. A. Eiselt, Carl-Louis Sandblom)....Pages 25-76
Applications of Nonlinear Programming (H. A. Eiselt, Carl-Louis Sandblom)....Pages 77-121
Optimality Conditions and Duality Theory (H. A. Eiselt, Carl-Louis Sandblom)....Pages 123-172
General Solution Methods for Constrained Optimization (H. A. Eiselt, Carl-Louis Sandblom)....Pages 173-193
Methods for Linearly Constrained Problems (H. A. Eiselt, Carl-Louis Sandblom)....Pages 195-242
Methods for Nonlinearly Constrained Problems (H. A. Eiselt, Carl-Louis Sandblom)....Pages 243-278
Geometric Programming (H. A. Eiselt, Carl-Louis Sandblom)....Pages 279-328
Back Matter ....Pages 329-366

✦ Subjects

Mathematics; Continuous Optimization; Operations Research/Decision Theory; Engineering Economics, Organization, Logistics, Marketing; Operations Research, Management Science

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