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Quasiconvex optimization and location theory

Author: Joaquim António dos Santos Gromicho
Publisher: Dordrecht ; Boston : Kluwer, ©1998.
Series: Applied optimization, v. 9.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
This book includes variants of the ellipsoid method for convex and quasiconvex problems and applies them to very general convex and quasiconvex models in location theory.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Joaquim António dos Santos Gromicho
ISBN: 0792346947 9780792346944
OCLC Number: 37675658
Description: xxi, 218 pages ; 25 cm.
Contents: 1. Introduction --
2. Elements of Convexity --
3. Convex Programming --
4. Convexity in Location --
5. Quasiconvex Programming --
6. Quasiconvexity in Location --
7. Conclusions.
Series Title: Applied optimization, v. 9.
Responsibility: by Joaquim António dos Santos Gromicho.
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Abstract:

grams of which the objective is given by the ratio of a convex by a positive (over a convex domain) concave function. More recently, this algorithm has been used by Carrizosa and Plastria to solve a  Read more...

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   schema:description "The book uses the ellipsoid method as an illustration of such a technique and provides a new and more stable version of this method. The new algorithm receives a clear and concise treatment, starting with its derivation and ending with its convergence analysis. Both the derivation and the analysis use a simpler approach than previously found in the literature."@en ;
   schema:description "It starts by describing the adopted notation and provides basic details of convexity and convex optimization. Without aiming at replacing classical references, it manages to bring the required concepts into easily tractable form and to focus the reader on the more elaborate developments that follow. Many techniques in convex optimization rely on the use of separation hyperplanes."@en ;
   schema:description "The second part of the book generalizes the new algorithm to solve quasiconvex programs. Although the techniques required by the quasiconvex case are more complex, the book provides a clear and direct interpretation of the main theoretical results. This book will be of great value to graduate students and researchers working in continuous optimization using separation techniques and for those dealing with general continuous location models."@en ;
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