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This book presents fundamentals and comprehensive results regarding duality for scalar, vector and set-valued optimization problems in a general setting. After a preliminary chapter dedicated to convex analysis and minimality notions of sets with respect to partial orderings induced by convex cones a chapter on scalar conjugate duality follows. Then investigations on vector duality based on scalar conjugacy are made. Weak, strong and converse duality statements are delivered and connections to classical results from the literature are emphasized. One chapter is exclusively consecrated to the scalar and vector Wolfe and Mond-Weir duality schemes. The monograph is closed with extensive considerations concerning conjugate duality for set-valued optimization problems.
The Lanczos and conjugate gradient algorithms Автор: Gérard Meurant Год: 2006 |
Moments, Positive Polynomials and Their Applications Автор: Jean-Bernard Lasserre Год: 2009 |
The Lanczos and conjugate gradient algorithms: from theory to finite precision computations Автор: Gérard Meurant Год: 2006 |
The Visualization Handbook Автор: Charles D. Hansen Год: 2004 |
Visualization Handbook Автор: Charles D. Hansen Год: 2004 |
Transformation of Conjugate Elements or of Conjugate Subgroups Автор: Miller G.A. Год: 1928 |