A derivative-free three-term Hestenes-Stiefel type method for constrained nonlinear equations and image restoration

• Published in: International journal of computer mathematics Vol. 99; no. 5; pp. 1041 - 1065
• Main Authors: Hassan Ibrahim, Abdulkarim, Kumam, Poom, Hassan, Basim A., Bala Abubakar, Auwal, Abubakar, Jamilu
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 04.05.2022; Taylor & Francis Ltd
• Subjects: compressive sensing; conjugate gradient method; Constraints; derivative-free method; Image restoration; Mathematical analysis; Nonlinear equations; projection method; Unconstrained optimization

In this paper, a derivative-free Hestenes-Stielfel type method is proposed to solve large-scale nonlinear equations with convex constraints. The proposed method adopts the line search proposed by Ou and Li [J. Comput. Appl. Math. 56(1-2) (2018), pp. 195-216]. Unlike most existing methods, the global...