swMATH ID: 25286
Software Authors: Bartholomew-Biggs, Michael
Description: Nonlinear optimization with engineering applications. This book gives on 280 pages a broad overview of nonlinear optimization. The presented methods include direct search techniques, the steepest descend approach, trust region methods as well as Newton and quasi-Newton techniques with globalization strategies for the unconstrained case. For constrained optimization problems penalty approaches, SQP methods, barrier techniques and interior point methods are discussed. Additionally, the book covers several topics as line search approaches, filter methods and the computation of derivatives. The presented optimization approaches are compared with each other by means of several examples with up to 200 variables. The numerical results are mostly obtained by the software package OPTIMA written by the author. The book contains 25 chapters with an average of 11 pages. Due to the variety of considered solution techniques, the presentation of each method and its theoretical analysis is rather brief. Nevertheless, the introduction of the different techniques is written in a very comprehensible way. Furthermore, each section contains exercises to verify and deepen the understanding of the material.
Homepage: https://link.springer.com/chapter/10.1007/978-0-387-78723-7_25
Keywords: nonlinear programming; unconstrained optimization; constrained optimization
Related Software: tn; L-BFGS; WORHP; ALGENCAN; MINOS; Ipopt; TANGO; filterSQP; CUTE; CUTEr; AlphaECP; MINQ; MCS; simannf90
Cited in: 14 Publications

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1 Publication describing the Software, including 1 Publication in zbMATH Year
Nonlinear optimization with engineering applications. Zbl 1167.90001
Bartholomew-Biggs, Michael

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