Abstract

Conjugate gradient (CG) methods have played an important role in solving unconstrained optimization due to its simplicity and global convergence properties. In this paper, two new modifications of conjugate gradient coefficient (β <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">k</sub> ) with global convergence properties are presented. The global convergence result is established using exact line searches. Comparisons are made between six others well known CG coefficient. Preliminary result by performance profile shows that the proposed formula is competitive when compared to the other CG coefficients.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.