Accession Number : ADA086365
Title : Generalized Equations and Their Solutions. Part 2. Applications to Nonlinear Programming
Descriptive Note : Technical summary rept.
Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Robinson, Stephen M
Report Date : Mar 1980
Pagination or Media Count : 31
Abstract : We prove that if the second-order sufficient condition and constraint regularity hold at a local minimizer of a nonlinear programming problem, then for sufficiently smooth perturbations of the constraints and objective function the set of local stationary points is nonempty and continuous; further, if certain polyhedrality assumptions hold (as is usually the case in applications) then the local minimizers, the stationary points and the multipliers all obey a type of Lipschitz condition. Through the use of generalized equations, these results are obtained with a minimum of notational complexity.
Descriptors : *QUADRATIC PROGRAMMING , *NONLINEAR ALGEBRAIC EQUATIONS , *NONLINEAR PROGRAMMING , OPTIMIZATION , COMPUTATIONS , NONLINEAR DIFFERENTIAL EQUATIONS , PERTURBATIONS , APPROXIMATION(MATHEMATICS) , THEORY , MATHEMATICAL PROGRAMMING
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE