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


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a086365.pdf


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