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Spectral Three-Term Constrained Conjugate Gradient Algorithm for Function Minimizations

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  • Huda I. Ahmed
  • Rana Z. Al-Kawaz
  • Abbas Y. Al-Bayati

Abstract

In this work, we tend to deal within the field of the constrained optimization methods of three-term Conjugate Gradient (CG) technique which is primarily based on Dai–Liao (DL) formula. The new proposed technique satisfies the conjugacy property and the descent conditions of Karush–Kuhn–Tucker (K.K.T.). Our planned constrained technique uses the robust Wolfe line search condition with some assumptions. We tend to prove the global convergence property of the new planned technique. Numeral comparisons for (30-thirty) constrained optimization issues make sure the effectiveness of the new planned formula.

Suggested Citation

  • Huda I. Ahmed & Rana Z. Al-Kawaz & Abbas Y. Al-Bayati, 2019. "Spectral Three-Term Constrained Conjugate Gradient Algorithm for Function Minimizations," Journal of Applied Mathematics, Hindawi, vol. 2019, pages 1-6, December.
    • Handle: RePEc:hin:jnljam:6378368
    DOI: 10.1155/2019/6378368
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