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Zbl 0769.90075
Mordukhovich, Boris S.
Sensitivity analysis in nonsmooth optimization.
(English)
[A] Theoretical aspects of industrial design, Proc. SIAM Reg. Conf., Wright- Patterson AFB/OH (USA) 1990, 32-46 (1992). ISBN 0-89871-291-2/pbk

[For the entire collection see Zbl 0754.00010.]\par A general class of optimization problems with nonsmooth data is considered. An approach to the sensitivity analysis of such problems, based on the nonconvex set-valued generalized differentials introduced by the author, is proposed. Formulas for the generalized differentials of the marginal (optimal value) functions are obtained.
[A.Shapiro (Pretoria)]
MSC 2000:
*90C31 Sensitivity, etc.
49J52 Nonsmooth analysis (other weak concepts of optimality)
90C30 Nonlinear programming

Keywords: optimal value function; nonsmooth data; sensitivity analysis; nonconvex set-valued generalized differentials

Citations: Zbl 0754.00010

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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