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

Authors

  • Alaa L. Ibrahim Department of Mathematics, College of Science, University of Duhok, Kurdistan Region, Iraq (alaa.ibrahim@uod.ac)
  • Muhammad A. Sadiq College of Administration and Economics, Cihan University Duhok, Kurdistan Region-Iraq (muhammad.math@uod.ac)
  • Salah G. Shareef Department of Mathematics, Faculty of Science, University of Zakho, Kurdistan Region, Iraq (salah.shareef@uoz.edu.krd)

DOI:

https://doi.org/10.25271/sjuoz.2019.7.1.525

Keywords:

conjugate gradient, unconstrained optimization, Barzilai and Borwein step size, descent and sufficient descent conditions

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).

References

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Published

2019-03-30

How to Cite

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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Section

Science Journal of University of Zakho