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