Date of Award
Master of Science in Astronautical Engineering
Department of Aeronautics and Astronautics
Robert A. Canfield, PhD
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.
DTIC Accession Number
Blaylock, Michael A., "Multipoint Quadratic Approximation for Numerical Optimization" (1995). Theses and Dissertations. 6323.