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Guignard M. — MATHEMATICAL PROGRAMMING STUDY 19. Optimality and stability in mathematical programming
Guignard M. — MATHEMATICAL PROGRAMMING  STUDY 19. Optimality and stability in mathematical programming

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Название: MATHEMATICAL PROGRAMMING STUDY 19. Optimality and stability in mathematical programming

Автор: Guignard M.

Аннотация:

The last decade has seen a number of improvements regarding the theory of optimality in mathematical programming, in particular concerning characterization of optimality for broad classes of problems. Increasingly sophisticated types of optimality conditions are studied and more general types of problems can now be considered: nonsmooth, nonconvex, nondifferentiable, etc. New tools have been developed which permit these advances, such as generalized gradients, subgradients, generalized equations, cones of directions of constancy, faithful convexity, normal subcones, semiconvexity, semidifferentiability, just to name a few. Characterizations of optimality have been proposed with or without constraint qualifications. At the same time, linear complementarity theory grew out of infancy both from a computational and a theoretical viewpoint. For either type of problem, characterizations of the existence of bounded solutions and/or bounded sets of multipliers and the effect of small perturbations of the data on the solutions, the multipliers and/or the optimum have been thoroughly studied, and considerable progress has been made.
Read more at http://ebookee.org/Optimality-and-Stability-in-Mathematical-Programming-Mathematical-programming-study_1371202.html#gmSvuo2rCGcCUOlp.99


Язык: en

Рубрика: Разное/

Статус предметного указателя: Неизвестно

ed2k: ed2k stats

Год издания: 1982

Количество страниц: 249

Добавлена в каталог: 10.12.2016

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