A New Conjugate Gradient Coefficient for Unconstrained Optimization Based On Dai-Liao

Alaa L. Ibrahim(1) , Muhammad A. Sadiq(2) , Salah G. Shareef(3)
(1) Department of Mathematics, College of Science, University of Duhok, Kurdistan Region, Iraq (alaa.ibrahim@uod.ac) ,
(2) College of Administration and Economics, Cihan University Duhok, Kurdistan Region-Iraq (muhammad.math@uod.ac) ,
(3) Department of Mathematics, Faculty of Science, University of Zakho, Kurdistan Region, Iraq (salah.shareef@uoz.edu.krd)
https://doi.org/10.25271/sjuoz.2019.7.1.525

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Issue
Vol. 7 No. 1 (2019): March, 30
Submitted
October 23, 2018
Accepted
January 19, 2019
Published
March 30, 2019
Keywords:
    conjugate gradient, unconstrained optimization, Barzilai and Borwein step size, descent and sufficient descent conditions
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Abstract

This paper, proposes a new conjugate gradient method for unconstrained optimization based on Dai-Liao (DL) formula; descent condition and sufficient descent condition for our method are provided. The numerical results and comparison show that the proposed algorithm is potentially efficient when we compare with (PR) depending on number of iterations (NOI) and the number of functions evaluation (NOF).

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Authors

Alaa L. Ibrahim
alaa.ibrahim@uod.ac (Primary Contact)
Muhammad A. Sadiq
Salah G. Shareef
Ibrahim, A. L., Sadiq, M. A., & Shareef, S. G. (2019). A New Conjugate Gradient Coefficient for Unconstrained Optimization Based On Dai-Liao. Science Journal of University of Zakho, 7(1), 34-36. https://doi.org/10.25271/sjuoz.2019.7.1.525
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Copyright (c) 2019 Alaa L. Ibrahim, Muhammad A. Sadiq, Salah G. Shareef

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Ibrahim, A. L., Sadiq, M. A., & Shareef, S. G. (2019). A New Conjugate Gradient Coefficient for Unconstrained Optimization Based On Dai-Liao. Science Journal of University of Zakho, 7(1), 34-36. https://doi.org/10.25271/sjuoz.2019.7.1.525

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