Accession Number : AD0475323

Title :   OPTIMIZING AN UNKNOWN FUNCTION BY THE METHOD OF BOUNDED LEAST SQUARES.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s) : Buck, Ralph V.

Report Date : 1965

Pagination or Media Count : 56

Abstract : The problem of estimating the position of an extreme point of an unknown function of several independent variables is examined for the case where the dependent variable is known to be bounded. The classical method of least squares is formulated as a quadratic programming problem to be solved numerically on a digital computer, where the coefficients of the fitted equation are determined subject to restrictions on both the independent variables and the dependent variable. Several two dimensional models were examined using synthetic experimental design techniques. The results, though not conclusive, indicate that the method of bounded least squares can be a useful computational tool in some two dimensional problems. It remains to be shown whether the algorithm is useful in problems involving more than two independent variables. (Author)

Descriptors :   (*LEAST SQUARES METHOD, FUNCTIONS(MATHEMATICS)), QUADRATIC PROGRAMMING, CURVE FITTING, ALGORITHMS, COMPUTER PROGRAMMING, OPTIMIZATION, RESPONSE.

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE