A New Three-Term Hestenes-Stiefel Type Method for Nonlinear Monotone Operator Equations and Image Restoration

Auwal Bala Abubakar, Kanikar Muangchoo*, Abdulkarim Hassan Ibrahim, Abubakar Bakoji Muhammad, Lateef Olakunle Jolaoso, Kazeem Olalekan Aremu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number9328771
Pages (from-to)18262-18277
Number of pages16
JournalIEEE Access
Volume9
DOIs
Publication statusPublished - 2021

Keywords

  • Derivative-free algorithm
  • Monotone operator equations
  • image restoration
  • projection technique

Fingerprint

Dive into the research topics of 'A New Three-Term Hestenes-Stiefel Type Method for Nonlinear Monotone Operator Equations and Image Restoration'. Together they form a unique fingerprint.

Cite this