Multipoint Quadratic Approximation for Numerical Optimization.

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)

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Document Details

Document Type
Technical Report
Publication Date
Mar 21, 1995
Accession Number
ADA293837

Entities

People

  • Michael A. Blaylock

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Convergence
  • Displacement
  • Elastic Properties
  • Engineering
  • Equations
  • Finite Element Analysis
  • Frequency
  • Iterations
  • Literature Surveys
  • Materials
  • Mathematical Programming
  • Modulus Of Elasticity
  • Moment Of Inertia
  • Optimization
  • Standards

Readers

  • Calculus or Mathematical Analysis
  • Operations Research
  • Systems Analysis and Design