A STEP-LENGTH FORMULA FOR CONJUGATE GRADIENT METHODS

Authors

• Adam Ajimoti Ishaq, Department of Physical Sciences, Al-Hikmah University, Ilorin, NigeriaFollow
• Tolulope Latunde, Department of Mathematics, Federal University Oye-Ekiti, Oye-Ekiti, NigeriaFollow
• Kazeem Babatunde Akande, Department of Science and Research, Iqra College, Ilorin, NigeriaFollow

Abstract

A newly step-length formula is proposed for implementing conjugate gradient methods’ algorithm to solve unconstrained optimization problems. The unified formula for obtaining step-length does not involve any matrix operation. Numerical results obtained are graphically illustrated using performance profiling software. This showed that the new formula performs efficiently in terms of computational efforts and execution time compared with some existing formulae for obtaining the step-length without line search procedures.

Digital Object Identifier (DOI)

10.24191/mjoc.v5i1.7715

Publication Date

4-30-2020

Volume

5

Issue

1

Recommended Citation

Ishaq, Adam Ajimoti; Latunde, Tolulope; and Akande, Kazeem Babatunde (2020) "A STEP-LENGTH FORMULA FOR CONJUGATE GRADIENT METHODS," Malaysian Journal of Computing (MJoC): Vol. 5: Iss. 1, Article 4.

Available at: https://mjoc.researchcommons.org/journal/vol5/iss1/4