A hybrid approach to conjugate gradient algorithms for nonlinear systems of equations with applications in signal restoration
This paper proposes a novel hybrid PRP-HS-LS-type conjugate gradient algorithm for solving constrained nonlinear systems of equations. The proposed algorithm presents several significant advancements and key features: (i) the conjugate parameter is constructed by utilizing the hybrid technique; (i...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2024-12-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241717 |
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| Summary: | This paper proposes a novel hybrid PRP-HS-LS-type conjugate gradient algorithm for solving constrained nonlinear systems of equations. The proposed algorithm presents several significant advancements and key features: (i) the conjugate parameter is constructed by utilizing the hybrid technique; (ii) the search direction, designed with the conjugate parameter, possesses sufficient descent and trust region properties without the need for a line search mechanism; (iii) the global convergence is rigorously established under general assumptions, notably without the requirement of the Lipschitz continuity condition; (vi) numerical experiments demonstrate the algorithm's efficiency, particularly in solving large-scale constrained nonlinear systems of equations and addressing the sparse signal restoration problem. |
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| ISSN: | 2473-6988 |