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Quadratic Programming And Affine Variational Inequalities: A Qualitative Study
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Bibliographic Detail
Publisher Springer Verlag
Publication date February 28, 2005
Binding Hardcover
Book category Adult Non-Fiction
ISBN-13 9780387242774
ISBN-10 0387242775
Dimensions 0.75 by 6.25 by 9.50 in.
Weight 1.60 lbs.
Original list price $189.00
Summaries and Reviews
Amazon.com description: Product Description: Quadratic programs and affine variational inequalities represent two fundamental, closely-related classes of problems in the t,heories of mathematical programming and variational inequalities, resp- tively. This book develops a unified theory on qualitative aspects of nonconvex quadratic programming and affine variational inequ- ities. The first seven chapters introduce the reader step-by-step to the central issues concerning a quadratic program or an affine variational inequality, such as the solution existence, necessary and sufficient conditions for a point to belong to the solution set, and properties of the solution set. The subsequent two chapters discuss briefly two concrete nlodels (linear fractional vector optimization and the traffic equilibrium problem) whose analysis can benefit a lot from using the results on quadratic programs and affine variational inequalities. There are six chapters devoted to the study of conti- ity and/or differentiability properties of the characteristic maps and functions in quadratic programs and in affine variational inequa- ties where all the components of the problem data are subject to perturbation. Quadratic programs and affine variational inequa- ties under linear perturbations are studied in three other chapters. One special feature of the presentation is that when a certain pr- erty of a characteristic map or function is investigated, we always try first to establish necessary conditions for it to hold, then we go on to study whether the obtained necessary conditions are suf- cient ones. This helps to clarify the structures of the two classes of problems under consideration.

Editions
Hardcover
Book cover for 9780387242774
 
The price comparison is for this edition
With Gue Myung Lee, N. N. Tam | from Springer Verlag (February 28, 2005)
9780387242774 | details & prices | 6.25 × 9.50 × 0.75 in. | 1.60 lbs | List price $189.00
About: Quadratic programs and affine variational inequalities represent two fundamental, closely-related classes of problems in the t,heories of mathematical programming and variational inequalities, resp- tively.
Paperback
Book cover for 9781441937131
 
With Gue Myung Lee, N. N. Tam | from Springer Verlag (February 28, 2005)
9781441937131 | details & prices | 360 pages | List price $189.00
About: Quadratic programs and affine variational inequalities represent two fundamental, closely-related classes of problems in the t,heories of mathematical programming and variational inequalities, resp- tively.

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