Linear Semi-Infinite Optimization - Couverture rigide

Goberna, M.A.; Cerda, M.A.Lopez; Lopez, Cerda

 
9780471970408: Linear Semi-Infinite Optimization
Couverture rigide
ISBN 10 : 0471970409 ISBN 13 : 9780471970408
Editeur : John Wiley & Sons Ltd, 1998

Synopsis

A linear semi-infinite program is an optimization problem with linear objective functions and linear constraints in which either the number of unknowns or the number of constraints is finite. The many direct applications of linear semi-infinite optimization (or programming) have prompted considerable and increasing research effort in recent years. The authors' aim is to communicate the main theoretical ideas and applications techniques of this fascinating area, from the perspective of convex analysis. The four sections of the book cover:Modelling with primal and dual problems - the primal problem, space of dual variables, the dual problem. Linear semi-infinite systems - existence theorems, alternative theorems, redundancy phenomena, geometrical properties of the solution set. Theory of linear semi-infinite programming - optimality, duality, boundedness, perturbations, well-posedness. Methods of linear semi-infinite programming - an overview of the main numerical methods for primal and dual problems. Exercises and examples are provided to illustrate both theory and applications. The reader is assumed to be familiar with elementary calculus, linear algebra and general topology. An appendix on convex analysis is provided to ensure that the book is self-contained. Graduate students and researchers wishing to gain a deeper understanding of the main ideas behind the theory of linear optimization will find this book to be an essential text.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

A linear semi–infinite program is an optimization problem with linear objective functions and linear constraints in which either the number of unknowns or the number of constraints is finite. The many direct applications of linear semi–infinite optimization (or programming) have prompted considerable and increasing research effort in recent years. The authors′ aim is to communicate the main theoretical ideas and applications techniques of this fascinating area, from the perspective of convex analysis. The four sections of the book cover:
∗ Modelling with primal and dual problems – the primal problem, space of dual variables, the dual problem.
∗ Linear semi–infinite systems – existence theorems, alternative theorems, redundancy phenomena, geometrical properties of the solution set.
∗ Theory of linear semi–infinite programming – optimality, duality, boundedness, perturbations, well–posedness.
∗ Methods of linear semi–infinite programming – an overview of the main numerical methods for primal and dual problems.
Exercises and examples are provided to illustrate both theory and applications. The reader is assumed to be familiar with elementary calculus, linear algebra and general topology. An appendix on convex analysis is provided to ensure that the book is self–contained. Graduate students and researchers wishing to gain a deeper understanding of the main ideas behind the theory of linear optimization will find this book to be an essential text.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
John Wiley & Sons Ltd
Date d'édition
1998
Langue
anglais
ISBN 10 
0471970409
ISBN 13 
9780471970408
Reliure
Relié
Nombre de pages
356
Coordonnées du fabricant
non disponible
Personne responsable
Buchpark GmbH
gpsr@buchpark.de

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