Optimal Quadratic Programming Algorithms With Applications to Variat
Solving optimization problems in complex systems often requires the implementation of advanced mathematical techniques. Quadratic programming (QP) is one technique that allows for the optimization of a quadratic function in several variables in the p
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Springer Optimization and Its Applications VOLUME 23 Managing Editor Panos M. Pardalos (University of Florida) Editor—Combinatorial Optimization Ding-Zhu Du (University of Texas at Dallas) Advisory Board J. Birge (University of Chicago) C.A. Floudas (Princeton University) F. Giannessi (University of Pisa) H.D. Sherali (Virginia Polytechnic and State University) T. Terlaky (McMaster University) Y. Ye (Stanford University)
Aims and Scope Optimization has been expanding in all directions at an astonishing rate during the last few decades. New algorithmic and theoretical techniques have been developed, the diffusion into other disciplines has proceeded at a rapid pace, and our knowledge of all aspects of the field has grown even more profound. At the same time, one of the most striking trends in optimization is the constantly increasing emphasis on the interdisciplinary nature of the field. Optimization has been a basic tool in all areas of applied mathematics, engineering, medicine, economics and other sciences. The series Springer Optimization and Its Applications publishes undergraduate and graduate textbooks, monographs and state-of-the-art expository works that focus on algorithms for solving optimization problems and also study applications involving such problems. Some of the topics covered include nonlinear optimization (convex and nonconvex), network flow problems, stochastic optimization, optimal control, discrete optimization, multiobjective programming, description of software packages, approximation techniques and heuristic approaches.
OPTIMAL QUADRATIC PROGRAMMING ALGORITHMS With Applications to Variational Inequalities
By ˇ DOSTAL ´ ZDENEK ˇ - Technical University of Ostrava, Czech Republic VSB
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Zdenˇek Dost´al Department of Applied Mathematics ˇ - Technical University of Ostrava VSB 70833 Ostrava Czech Republic [email protected]
ISSN 1931-6828 ISBN 978-0-387-84805-1 DOI 10.1007/978-0-387-84806-8
e-ISBN 978-0-387-84806-8
Library of Congress Control Number: 2008940588 Mathematics Subject Classification (2000): 90C20, 90C06, 65K05, 65N55 c Springer Science+Business Media, LLC 2009 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Cover illustration: “Decomposed cubes with the trace of decomposition” by Marta Domora´adov´a Printed on acid-free paper springer.com
To Maruˇska, Matˇej, and Michal, the dearest ones
Preface
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