TY - JOUR
T1 - A hybrid HS-LS conjugate gradient algorithm for unconstrained optimization with applications in motion control and image recovery
AU - Kumam, Poom
AU - Abubakar, Auwal Bala
AU - Malik, Maulana
AU - Ibrahim, Abdulkarim Hassan
AU - Pakkaranang, Nuttapol
AU - Panyanak, Bancha
N1 - Publisher Copyright:
© 2023 Elsevier B.V.
PY - 2023/12/1
Y1 - 2023/12/1
N2 - This article presents a new hybrid conjugate gradient (CG) algorithm for solving unconstrained optimization problem. The search direction is defined as a combination of Hestenes–Stiefel (HS) and the Liu–Storey (LS) CG parameters and is close to the direction of the memoryless Broyden–Fletcher–Goldferb–Shanno (BFGS) quasi-Newton direction. In addition, the search direction is descent and bounded. The global convergence of the algorithm is obtained under the Wolfe-type and Armijo-type line searches. Numerical experiments on some benchmark test problems is carried out to depict the efficiency and robustness of the hybrid algorithm. Furthermore, a practical application of the algorithm in motion control of robot manipulator and image restoration is provided.
AB - This article presents a new hybrid conjugate gradient (CG) algorithm for solving unconstrained optimization problem. The search direction is defined as a combination of Hestenes–Stiefel (HS) and the Liu–Storey (LS) CG parameters and is close to the direction of the memoryless Broyden–Fletcher–Goldferb–Shanno (BFGS) quasi-Newton direction. In addition, the search direction is descent and bounded. The global convergence of the algorithm is obtained under the Wolfe-type and Armijo-type line searches. Numerical experiments on some benchmark test problems is carried out to depict the efficiency and robustness of the hybrid algorithm. Furthermore, a practical application of the algorithm in motion control of robot manipulator and image restoration is provided.
KW - Global convergence
KW - Line search
KW - Three-term conjugate gradient method
KW - Unconstrained optimization
UR - http://www.scopus.com/inward/record.url?scp=85159468413&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2023.115304
DO - 10.1016/j.cam.2023.115304
M3 - Article
AN - SCOPUS:85159468413
SN - 0377-0427
VL - 433
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
M1 - 115304
ER -