Accession Number : ADA293837

Title :   Multipoint Quadratic Approximation for Numerical Optimization.

Descriptive Note : Master's thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING

Personal Author(s) : Blaylock, Michael A.

PDF Url : ADA293837

Report Date : 21 MAR 1995

Pagination or Media Count : 111

Abstract : A quadratic approximation for nonlinear functions is developed in order to realize computational savings in solving numerical optimization problems. Function and gradient information accumulated from multiple design points during the iteration history is used in estimating the Hessian matrix. The approximate Hessian matrix is the available for a second order Taylor series approximation to the functions of interest. Several truss and frame models will be used to demonstrate the effectiveness of the new Multipoint Quadratic Approximation (MQA) in solving structural optimization problems. (AN)

Descriptors :   *MATHEMATICAL MODELS, *OPTIMIZATION, STRESS STRAIN RELATIONS, COMPUTATIONS, TAYLORS SERIES, MATRICES(MATHEMATICS), LOADS(FORCES), STRUCTURAL ANALYSIS, STRUCTURAL MECHANICS, COMPARISON, BEAMS(STRUCTURAL), LINEAR PROGRAMMING, ACCURACY, THESES, PROBLEM SOLVING, NONLINEAR SYSTEMS, APPROXIMATION(MATHEMATICS), QUADRATIC EQUATIONS, CONVERGENCE, NUMERICAL METHODS AND PROCEDURES, SUBROUTINES, ITERATIONS.

Subject Categories : Operations Research
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE