RESEARCH PAPERS: Design Automation Papers

Accelerating Flexible Polyhedron Searches for Nonlinear Minimization

[+] Author and Article Information
M. A. Townsend

Mechanical and Aerospace Engineering, University of Virginia, Charlottesville, Va. 22901

C. E. Zarak

Mechanical and Materials Engineering, Vanderbilt University, Nashville, Tenn. 37235

J. Mech., Trans., and Automation 105(2), 197-200 (Jun 01, 1983) (4 pages) doi:10.1115/1.3258508 History: Received July 23, 1982; Online November 19, 2009


A new method is presented for determining the reflection point (centroid) which automatically varies the polyhedron (simplex or complex) moves to favor, in the early stages, a weighted move, and as the algorithm progresses, evolve to a more geometric move. Based on numerical experience to date, these attributes seem to be desirable for rapid progress throughout the algorithm stages.

Copyright © 1983 by ASME
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