
Accession Number : AD0689391
Title : ISOLATION OF THE ROOTS OF A NONLINEAR OPERATOR,
Corporate Author : BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH INFORMATION SCIENCES LAB
Personal Author(s) : Goldstein,A. A. ; Johnson,F. C.
Report Date : JUN 1969
Pagination or Media Count : 9
Abstract : A recurrent problem in optimization theory is the behavior of the system in a neighborhood of a stationary point. A theorem is proven for a class of locally Lipschitz operators which gives explicit lower bounds for a neighborhood of a zero of an operator in which the zero is unique. This result is then applied to a problem in minimization with nonlinear constraints obtaining similar results for stationary points. (Author)
Descriptors : (*CONTROL SYSTEMS, OPTIMIZATION), (*OPERATORS(MATHEMATICS), NONLINEAR SYSTEMS), CONVEX SETS, HILBERT SPACE, PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS, THEOREMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE