Abstract
This paper introduces a scaling parameter to the Fletcher-Reeves (FR) nonlinear conjugate gradient method. The main aim is to improve its theoretical and numerical properties when applied with inexact line searches to unconstrained optimization problems. We show that the sufficient descent and global convergence properties of Al-Baali for the FR method with a fairly accurate line search are maintained. We also consider the possibility of extending this result to less accurate line search for appropriate values of the scaling parameter. The reported numerical results show that several values for the proposed scaling parameter improve the performance of the FR method significantly.
Keywords
Publication details
- DOI
- 10.53539/squjs.vol26iss2pp141-151
- Journal
- Sultan Qaboos University Journal for Science, 26(2), 141-151
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY-ND 4.0
Cite this article
APA 7
Al-Saidi, A. (2022). Improved Fletcher-Reeves Methods Based on New Scaling Techniques. Sultan Qaboos University Journal for Science, 26(2), 141-151. https://doi.org/10.53539/squjs.vol26iss2pp141-151
MLA 9
Al-Saidi, Amal. "Improved Fletcher-Reeves Methods Based on New Scaling Techniques." Sultan Qaboos University Journal for Science, vol. 26, no. 2, 2022, pp. 141-151. https://doi.org/10.53539/squjs.vol26iss2pp141-151.
Chicago (author–date)
Al-Saidi, Amal. 2022. "Improved Fletcher-Reeves Methods Based on New Scaling Techniques." Sultan Qaboos University Journal for Science 26 (2): 141-151. https://doi.org/10.53539/squjs.vol26iss2pp141-151.
Harvard
Al-Saidi, A. (2022) 'Improved Fletcher-Reeves Methods Based on New Scaling Techniques', Sultan Qaboos University Journal for Science, 26(2), pp. 141-151. doi:10.53539/squjs.vol26iss2pp141-151.
Vancouver
Al-Saidi A. Improved Fletcher-Reeves Methods Based on New Scaling Techniques. Sultan Qaboos University Journal for Science. 2022;26(2):141-151. doi:10.53539/squjs.vol26iss2pp141-151
IEEE
A. Al-Saidi, "Improved Fletcher-Reeves Methods Based on New Scaling Techniques," Sultan Qaboos University Journal for Science, vol. 26, no. 2, pp. 141-151, 2022, doi: 10.53539/squjs.vol26iss2pp141-151.