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A derivative-free three-term Hestenes–Stiefel type method for constrained nonlinear equations and image restoration.
- Source :
-
International Journal of Computer Mathematics . May2022, Vol. 99 Issue 5, p1041-1065. 25p. - Publication Year :
- 2022
-
Abstract
- 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 convergence of the proposed method is established under the assumption that the underlying mapping is Lipschitz continuous and satisfies a weaker monotonicity condition. Preliminary numerical experiments indicate that the proposed method is effective and promising. Furthermore, the proposed method is used to solve image restoration problem in compressive sensing. [ABSTRACT FROM AUTHOR]
- Subjects :
- *IMAGE reconstruction
*CONJUGATE gradient methods
*NONLINEAR equations
Subjects
Details
- Language :
- English
- ISSN :
- 00207160
- Volume :
- 99
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- International Journal of Computer Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 156219199
- Full Text :
- https://doi.org/10.1080/00207160.2021.1946043