AN ALGORITHM TO MINIMIZE SINGLE VARIABLE POLYNOMIAL, FUNCTIONS FROM ANY STARTING POINT WITH QUADRATIC CONVERGENCE

James Thorne, Doran Greening, Robert E.D. Woolsey

Abstract


Search methods often display non-convergence or excessive convergence time on certain classes of nonlinear functions arising in engineering design. The authors will define a new geometric -programming based search method for single variable polynomials that displays quadratic convergence from any starting point Comparison over a group of test problems is made with a version of Newton's method

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DOI: https://doi.org/10.7166/2-2-444

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Copyright (c) 2015 The South African Journal of Industrial Engineering


ISSN 2224-7890 (on-line) ; ISSN 1012-277X (print)


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