TY - JOUR
T1 - A New Three-Term Hestenes-Stiefel Type Method for Nonlinear Monotone Operator Equations and Image Restoration
AU - Abubakar, Auwal Bala
AU - Muangchoo, Kanikar
AU - Ibrahim, Abdulkarim Hassan
AU - Muhammad, Abubakar Bakoji
AU - Jolaoso, Lateef Olakunle
AU - Aremu, Kazeem Olalekan
N1 - Publisher Copyright:
© 2013 IEEE.
PY - 2021
Y1 - 2021
N2 - In this article, a derivative-free method of Hestenes-Stiefel type is proposed for solving system of monotone operator equations with convex constraints. The method proposed is matrix-free, and its sequence of search directions are bounded and satisfies the sufficient descent condition. The global convergence of the proposed approach is established under the assumptions that the underlying operator is monotone and Lipschitz continuous. Numerical experiment results are reported to show the efficiency of the proposed method. Furthermore, to illustrate the applicability of the proposed method, it is used in restoring blurred images.
AB - In this article, a derivative-free method of Hestenes-Stiefel type is proposed for solving system of monotone operator equations with convex constraints. The method proposed is matrix-free, and its sequence of search directions are bounded and satisfies the sufficient descent condition. The global convergence of the proposed approach is established under the assumptions that the underlying operator is monotone and Lipschitz continuous. Numerical experiment results are reported to show the efficiency of the proposed method. Furthermore, to illustrate the applicability of the proposed method, it is used in restoring blurred images.
KW - Derivative-free algorithm
KW - Monotone operator equations
KW - image restoration
KW - projection technique
UR - http://www.scopus.com/inward/record.url?scp=85099732146&partnerID=8YFLogxK
U2 - 10.1109/ACCESS.2021.3053141
DO - 10.1109/ACCESS.2021.3053141
M3 - Article
AN - SCOPUS:85099732146
SN - 2169-3536
VL - 9
SP - 18262
EP - 18277
JO - IEEE Access
JF - IEEE Access
M1 - 9328771
ER -