@article{Sabi'u2023, 
author = {Jamilu Sabi'u and Ali Althobaiti and Saad Althobaiti and Soubhagya Kumar Sahoo and Thongchai Botmart},
title = {A scaled Polak-Ribi             e      `      re-Polyak conjugate gradient algorithm for constrained nonlinear systems and motion control},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {2},
pages = {4843-4861},
keywords = {convex constrained monotone systems, scaled conjugate gradient method, sufficient descent condition, Barzilai-Borwein approach},
url = {https://www.sciopen.com/article/10.3934/math.2023241},
doi = {10.3934/math.2023241},
abstract = {This paper proposes Polak-Ribi             e      `      re-Polyak (PRP) conjugate gradient (CG) directions based on two efficient scaling strategies. The first scaling parameter is determined by approaching the quasi-Newton direction, and the second by utilizing the well-known Barzilai-Borwein approach. In addition, we proposed two directions that satisfy the sufficient descent criterion regardless of the line search strategy. The proposed directions lead to a matrix-free algorithm for solving monotone-constrained nonlinear systems. The proposed algorithm's global convergence analysis is presented using some underlying assumptions. Furthermore, a detailed numerical comparison with other existing algorithms revealed that the proposed algorithm is both efficient and effective. Finally, the proposed technique is applied to the motion control problem of a two-joint planar robotic manipulator.}
}