书目名称 | Quadratic Programming and Affine Variational Inequalities |
副标题 | A Qualitative Study |
编辑 | Gue Myung Lee,Nguyen Nang Tam,Nguyen Dong Yen |
视频video | |
概述 | Develops a unified theory on qualitative aspects of nonconvex quadratic programming and affine variational inequalities |
丛书名称 | Nonconvex Optimization and Its Applications |
图书封面 |  |
描述 | 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 variationa |
出版日期 | Book 2005 |
关键词 | Optimality Conditions; Vector optimization; algorithms; linear optimization; optimization; quadratic prog |
版次 | 1 |
doi | https://doi.org/10.1007/b105061 |
isbn_softcover | 978-1-4419-3713-1 |
isbn_ebook | 978-0-387-24278-1Series ISSN 1571-568X |
issn_series | 1571-568X |
copyright | Springer-Verlag US 2005 |