Conjugate Direction Algorithms In Numerical Analysis And Optimization

The purpose of this paper is to present some effective optimization techniques in numerical analysis. A mathematical development and a geometric interpretation of the conjugate direction method are presented. The.method is used to minimize a real valued function of n real variables. Included are numerical computations for a variety of test functions. The results are compared computationally with other methods used in minimization. Also, listings of computer programs are included., National Science Foundation, Washington, D.C. 20550, Grant no. GP-40175, August 1, 1973 - Jan. 31, 1975; Faculty Research Grant, The University of Toledo, January, 1974 - June, 1975.
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Abstract/Description: The purpose of this paper is to present some effective optimization techniques in numerical analysis. A mathematical development and a geometric interpretation of the conjugate direction method are presented. The.method is used to minimize a real valued function of n real variables. Included are numerical computations for a variety of test functions. The results are compared computationally with other methods used in minimization. Also, listings of computer programs are included.
Subject(s):
mathematics


Date Issued: 1975-06