
Accession Number : AD0666415
Title : APPROXIMATING ONE CONVEX FUNCTION BY ANOTHER,
Corporate Author : RAND CORP SANTA MONICA CALIF
Personal Author(s) : Folkman,Jon ; Shapiro,Norman
Report Date : FEB 1968
Pagination or Media Count : 16
Abstract : The report describes a simple iterative procedure for approximating one convex function, relative to a given constraint set, by another convex function, having the same constraint set, plus an appropriate linear function. This procedure is particularly useful when efficient digital computer programs are already available for minimizing functions that differ from some other convex function by a linear function. A theorem is presented that gives sufficient conditions for such a procedure to succeed. (Author)
Descriptors : (*CHEMICAL EQUILIBRIUM, FUNCTIONS(MATHEMATICS)), (*FUNCTIONS(MATHEMATICS), APPROXIMATION(MATHEMATICS)), FREE ENERGY, SEQUENCES(MATHEMATICS), CONVERGENCE, STEEPEST DESCENT METHOD, SET THEORY, TRANSFORMATIONS(MATHEMATICS), THEOREMS
Subject Categories : Physical Chemistry
Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE