Fundamentals and important results of vector optimization in a general setting are presented in this book. The theory developed includes scalarization, existence theorems, a generalized Lagrange multiplier rule and duality results. Applications to vector approximation, cooperative game theory and multiobjective optimization are described. The theory is extended to set optimization with particular emphasis on contingent epiderivatives, subgradients and optimality conditions. Background material of convex analysis being necessary is concisely summarized at the beginning.
This second edition contains new parts on the adaptive Eichfelder-Polak method, a concrete application to magnetic resonance systems in medical engineering and additional remarks on the contribution of F.Y. Edgeworth and V. Pareto. The bibliography is updated and includes more recent important publications.
Or split into 4x interest-free payments of 25% on orders over R50
Learn more
Fundamentals and important results of vector optimization in a general setting are presented in this book. The theory developed includes scalarization, existence theorems, a generalized Lagrange multiplier rule and duality results. Applications to vector approximation, cooperative game theory and multiobjective optimization are described. The theory is extended to set optimization with particular emphasis on contingent epiderivatives, subgradients and optimality conditions. Background material of convex analysis being necessary is concisely summarized at the beginning.
This second edition contains new parts on the adaptive Eichfelder-Polak method, a concrete application to magnetic resonance systems in medical engineering and additional remarks on the contribution of F.Y. Edgeworth and V. Pareto. The bibliography is updated and includes more recent important publications.
Imprint | Springer-Verlag |
Country of origin | Germany |
Release date | December 2010 |
Availability | Expected to ship within 10 - 15 working days |
First published | December 2010 |
Authors | Johannes Jahn |
Dimensions | 235 x 155 x 26mm (L x W x T) |
Format | Hardcover |
Pages | 481 |
Edition | 2nd ed. 2011 |
ISBN-13 | 978-3-642-17004-1 |
Barcode | 9783642170041 |
Categories | |
LSN | 3-642-17004-8 |