Accession Number : AD0744324
Title : Lower Semicontinuity of Multivalued Linearization Mappings.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Robinson,Stephen M.
Report Date : APR 1972
Pagination or Media Count : 16
Abstract : Many results in mathematical programming require lower semicontinuity of the multivalued function obtained from a constraint set by replacing the functions defining the set by their linearizations about a point. In this paper the author gives a simple sufficient condition, involving the gradients of the active linearized constraints, for this property to hold. The author shows that this is the weakest possible condition which uses only first-order information at the point in question. (Author)
Descriptors : (*MATHEMATICAL PROGRAMMING, MAPPING(TRANSFORMATIONS)), INEQUALITIES, ALGORITHMS, OPTIMIZATION, THEOREMS
Subject Categories : Operations Research
Distribution Statement : APPROVED FOR PUBLIC RELEASE