Nonlinear Optimization with Engineering Applications

Michael Bartholomew-Biggs

ISBN 10: 0387787224 / ISBN 13: 9780387787220

Editore: Springer Us Jul 2008, 2008

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This item is printed on demand - it takes 3-4 days longer - Neuware -This book, like its companion volume Nonlinear Optimization with Financial Applications, is an outgrowth of undergraduate and po- graduate courses given at the University of Hertfordshire and the University of Bergamo. It deals with the theory behind numerical methods for nonlinear optimization and their application to a range of problems in science and engineering. The book is intended for nal year undergraduate students in mathematics (or other subjects with a high mathematical or computational content) and exercises are provided at the end of most sections. The material should also be useful for postg- duate students and other researchers and practitioners who may be c- cerned with the development or use of optimization algorithms. It is assumed that readers have an understanding of the algebra of matrices and vectors and of the Taylor and mean value theorems in several va- ables. Prior experience of using computational techniques for solving systems of linear equations is also desirable, as is familiarity with the behaviour of iterative algorithms such as Newton's methodfor nonlinear equations in one variable. Most of the currently popular methods for continuous nonlinear optimization are described and given (at least) an intuitive justi cation. Relevant convergence results are also outlined and we provide proofs of these when it seems instructive to do so. This theoretical material is complemented by numerical illustrations which give a avour of how the methods perform in practice. 280 pp. Englisch. Codice articolo 9780387787220

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Titolo: Nonlinear Optimization with Engineering ...

Casa editrice: Springer Us Jul 2008

Data di pubblicazione: 2008

Legatura: Buch

Condizione: Neu

Descrizione articolo

Riassunto:

This textbook examines a broad range of problems in science and engineering, describing key numerical methods applied to real life. The case studies presented are in such areas as data fitting, vehicle route planning and optimal control, scheduling and resource allocation, sensitivity calculations and worst-case analysis.

Chapters are self-contained with exercises provided at the end of most sections. Nonlinear Optimization with Engineering Applications is ideal for self-study and classroom use in engineering courses at the senior undergraduate or graduate level. The book will also appeal to postdocs and advanced researchers interested in the development and use of optimization algorithms.

Recensione:

From the reviews:

"This book gives on 280 pages a broad overview of nonlinear optimization. ... The presented optimization approaches are compared with each other by means of several examples with up to 200 variables. ... the introduction of the different techniques is written in a very comprehensible way. ... each section contains exercises to verify and deepen the understanding of the material." (Andrea Walther, Zentralblatt MATH, Vol. 1167, 2009)