Date of Award
3-1995
Document Type
Thesis
Degree Name
Master of Science in Astronautical Engineering
Department
Department of Aeronautics and Astronautics
First Advisor
Robert A. Canfield, PhD
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.
AFIT Designator
AFIT-GA-ENY-95M-01
DTIC Accession Number
ADA293837
Recommended Citation
Blaylock, Michael A., "Multipoint Quadratic Approximation for Numerical Optimization" (1995). Theses and Dissertations. 6323.
https://scholar.afit.edu/etd/6323
Included in
Numerical Analysis and Computation Commons, Systems Engineering and Multidisciplinary Design Optimization Commons