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Optimization-Theory and Practice

Previously published in hardcover
BuchKartoniert, Paperback
402 Seiten
Englisch
Springererschienen am23.08.2016Softcover reprint of the original 1st ed. 2010
Optimization is a field important in its own right but is also integral to numerous applied sciences, including operations research, management science, economics, finance and all branches of mathematics-oriented engineering.mehr
Verfügbare Formate
BuchGebunden
EUR80,24
BuchKartoniert, Paperback
EUR53,49
E-BookPDF1 - PDF WatermarkE-Book
EUR53,49

Produkt

KlappentextOptimization is a field important in its own right but is also integral to numerous applied sciences, including operations research, management science, economics, finance and all branches of mathematics-oriented engineering.
ZusammenfassungThis book offers a balanced presentation of Optimization, focusing on theory and including algorithms and real-world examples. Detailed examples and counter-examples are provided - with exercises, solutions and helpful hints, and Matlab/Maple supplements.
Details
ISBN/GTIN978-1-4939-3933-6
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2016
Erscheinungsdatum23.08.2016
AuflageSoftcover reprint of the original 1st ed. 2010
ReiheSpringer Undergraduate Texts in Mathematics and Technology
Seiten402 Seiten
SpracheEnglisch
Gewicht804 g
IllustrationenXVIII, 402 p.
Artikel-Nr.39856531

Inhalt/Kritik

Inhaltsverzeichnis
1. Introduction: Examples of Optimization Problems, HistoricalOverview.- 2. Optimality Conditions: Convex Sets, Inequalities, LocalFirst- and Second-Order Optimality Conditions, Duality.- 3. Unconstrained Optimization Problems: Elementary Search and Localization Methods, Descent Methods with Line Search, Trust Region Methods, Conjugate Gradient Methods, Quasi-Newton Methods.- 4. Linearly Constrained Optimization Problems: Linear and Quadratic Optimization, Projection Methods.- 5. Nonlinearly Constrained Optimization Methods: Penalty Methods, SQP Methods.- 6. Interior-Point Methods for Linear Optimization: The Central Path, Newton's Method for the Primal-Dual System, Path-Following Algorithms, Predictor-Corrector Methods.- 7. Semidefinite Optimization:Selected Special Cases, The S-Procedure, The Function log°det, Path-Following Methods, How to Solve SDO Problems?, Icing on theCake: Pattern Separation via Ellipsoids.- 8. Global Optimization:Branch and Bound Methods, Cutting Plane Methods.- Appendices:A Second Look at the Constraint Qualifications, The Fritz John Condition, Optimization Software Tools for Teaching and Learning.-Bibliography.- Index of Symbols.- Subject Index.mehr

Autor

Dr. Wilhelm Forst is a professor in the Department of Numerical Analysis at the University of Ulm, Germany.

Dr. Dieter Hoffmann is a professor at the University of Konstanz, Germany.

Drs. Forst and Hoffman previously co-authored two German language books for Springer-Verlag: Funktionentheorie explore with Maple (2002) and Ordinary Differential Equations (2005).