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

Authors

  • James Thorne Engineering Department, USA Military Academy Westpoint
  • Doran Greening Department of Mathematics, Colorado School of Mines
  • Robert E.D. Woolsey Department of Mathematics, Colorado School of Mines

DOI:

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

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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How to Cite

Thorne, J., Greening, D., & Woolsey, R. E. (2012). AN ALGORITHM TO MINIMIZE SINGLE VARIABLE POLYNOMIAL, FUNCTIONS FROM ANY STARTING POINT WITH QUADRATIC CONVERGENCE. The South African Journal of Industrial Engineering, 2(2). https://doi.org/10.7166/2-2-444

Issue

Vol. 2 No. 2 (1988)

Section

General Articles

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