Duality in Optimization and Variational Inequalities

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Taylor & Francis, May 10, 2002 - Mathematics - 336 pages
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This comprehensive volume covers a wide range of duality topics ranging from simple ideas in network flows to complex issues in non-convex optimization and multicriteria problems. In addition, it examines duality in the context of variational inequalities and vector variational inequalities, as generalizations to optimization. Duality in Optimization and Variational Inequalities is intended for researchers and practitioners of optimization with the aim of enhancing their understanding of duality. It provides a wider appreciation of optimality conditions in various scenarios and under different assumptions. It will enable the reader to use duality to devise more effective computational methods, and to aid more meaningful interpretation of optimization and variational inequality problems.
 

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Contents

Duality in Network Optimization
41
FIGURE CAPTIONS
43
Chapters Duality in Linear Systems
93
Duality in Convex Nonlinear Systems
127
Duality in Nonconvex Systems
151
Duality in Variational Inequalities
193
Chapter? Elements of Multicriteria Optimization
215
Chapters Duality in Multicriteria Optimization
237
Duality in Vector Variational Inequalities
267
References
293
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