A Space-Effective Direct Search Algorithm and Observations on the Golden Section

M. A. Townsend; C. E. Zarak

doi:10.1115/1.3258504

Journal of Mechanisms, Transmissions, and Automation in Design | Volume 105 | Issue 2 | Research Paper

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RESEARCH PAPERS: Design Automation Papers

A Space-Effective Direct Search Algorithm and Observations on the Golden Section

M. A. Townsend and C. E. Zarak

[+] Author and Article Information

M. A. Townsend

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

C. E. Zarak

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

J. Mech., Trans., and Automation 105(2), 171-173 (Jun 01, 1983) (3 pages) doi:10.1115/1.3258504 History: Received June 09, 1982; Online November 19, 2009

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Abstract

It is demonstrated that substantial savings in the computer storage space and calculation can be effected by a close inspection of the subsearch phase of a multivariate optimization algorithm. This is particularly important in implementing algorithms on small computers. A significant compaction of the golden section search is developed. Coincidentally, it is found that the actual bracketing and convergence properties are better than those conventionally used in the literature.

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Townsend MA, Zarak CE. A Space-Effective Direct Search Algorithm and Observations on the Golden Section. ASME. J. Mech., Trans., and Automation. 1983;105(2):171-173. doi:10.1115/1.3258504.

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A Space-Effective Direct Search Algorithm and Observations on the Golden Section

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