| Issue |
RAIRO-Oper. Res.
Volume 55, 2021
Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte
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|
|---|---|---|
| Page(s) | S1113 - S1127 | |
| DOI | https://doi.org/10.1051/ro/2020061 | |
| Published online | 02 March 2021 | |
An efficient three-term conjugate gradient-type algorithm for monotone nonlinear equations
Department of Mathematics, COMSATS University Islamabad, Park Road, Islamabad 44000, Pakistan
* Corresponding author: abdullah_shah@comsats.edu.pk
Received:
7
April
2020
Accepted:
6
June
2020
In this article, we proposed two Conjugate Gradient (CG) parameters using the modified Dai–Liao condition and the descent three-term CG search direction. Both parameters are incorporated with the projection technique for solving large-scale monotone nonlinear equations. Using the Lipschitz and monotone assumptions, the global convergence of methods has been proved. Finally, numerical results are provided to illustrate the robustness of the proposed methods.
Mathematics Subject Classification: 90C30 / 90C26
Key words: Monotone equations / three-term conjugate gradient method / conjugacy condition / descent condition
© EDP Sciences, ROADEF, SMAI 2021
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