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2019 Spectral Three-Term Constrained Conjugate Gradient Algorithm for Function Minimizations
Huda I. Ahmed, Rana Z. Al-Kawaz, Abbas Y. Al-Bayati
J. Appl. Math. 2019: 1-6 (2019). DOI: 10.1155/2019/6378368

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.

Citation

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Huda I. Ahmed. Rana Z. Al-Kawaz. Abbas Y. Al-Bayati. "Spectral Three-Term Constrained Conjugate Gradient Algorithm for Function Minimizations." J. Appl. Math. 2019 1 - 6, 2019. https://doi.org/10.1155/2019/6378368

Information

Received: 20 May 2019; Revised: 8 August 2019; Accepted: 4 September 2019; Published: 2019
First available in Project Euclid: 23 May 2020

zbMATH: 07165627
MathSciNet: MR4047608
Digital Object Identifier: 10.1155/2019/6378368

Rights: Copyright © 2019 Hindawi

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