Accession Number : AD0624745

Title :   DESCENT OF THE BOUNDARY OF A SPHERE,

Corporate Author : BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB

Personal Author(s) : Goldstein,A. A.

Report Date : OCT 1965

Pagination or Media Count : 8

Abstract : A method is proposed for the problem of minimizing or finding stationary values of a differentiable function f which is constrained to the boundary of the unit sphere in. In the special case that del(f) does not vanish on the unit sphere itself, this is a problem in convex programming, because then the extremal must occur on the boundary of the sphere. In this case, the method of convex programming in a Hilbert space could be used. The general situation, which is not convex programming, is considered. The method of attack follows A. A. Goldstein, 'On Steepest Descent', Feb. 1965, Journal SIAM Control, Vol. 3, No. 1. (Author)

Descriptors :   (*STEEPEST DESCENT METHOD, SPHERES), (*SPHERES, FUNCTIONS(MATHEMATICS)), BOUNDARY VALUE PROBLEMS, CONTROL, MATHEMATICAL PROGRAMMING

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE