Kirkuk Journal of Science (Dec 2011)

A New Non Quadratic Algorithm for Solving Non-Linear Optimization Problems

  • Adham A. Ali

DOI
https://doi.org/10.32894/kujss.2011.43163
Journal volume & issue
Vol. 6, no. 2
pp. 201 – 212

Abstract

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This paper proposes a new algorithm for non-linear optimization to modify and develop the conjugate gradient (CG) methods and to obtain a strong global convergence. This algorithm is derived and evaluated numerically against the standard (P/R and H/S)-CG algorithms and T/S algorithm using more than (20) standard well-known test functions. The numerical results show that, Non –quadratic models are very beneficial in most of the problems especially when the dimensionality of the problem increases.

Keywords