A Barzilai-Borwein gradient projection method for sparse signal and blurred image restoration

DOI10.1016/j.jfranklin.2020.04.022zbMath1455.94004OpenAlexW3033341911MaRDI QIDQ2198630

Auwal Bala Abubakar, Poom Kumam, Hassan Mohammad, Aliyu Muhammed Awwal

Publication date: 15 September 2020

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2020.04.022

zbMATH Keywords

hyperplane projection techniqueblurred images reconstruction

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Convex programming (90C25) Applications of mathematical programming (90C90) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

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Uses Software

• CG_DESCENT

Cites Work

• Unnamed Item
• A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
• A new nonmonotone spectral residual method for nonsmooth nonlinear equations
• Network-based \(H_\infty\) filtering using a logic jumping-like trigger
• Non-smooth equations based method for \(\ell_1\)-norm problems with applications to compressed sensing
• Sparsity and persistence: mixed norms provide simple signal models with dependent coefficients
• A projection method for convex constrained monotone nonlinear equations with applications
• A conjugate gradient method to solve convex constrained monotone equations with applications in compressive sensing
• Two spectral gradient projection methods for constrained equations and their linear convergence rate
• A modified conjugate gradient method for monotone nonlinear equations with convex constraints
• Spectral gradient projection method for solving nonlinear monotone equations
• An EM algorithm for wavelet-based image restoration
• Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit
• Algorithm 851
• From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images
• An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
• A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
• A gradient projection method for the sparse signal reconstruction in compressive sensing
• For most large underdetermined systems of linear equations the minimal 𝓁₁‐norm solution is also the sparsest solution
• Compressed sensing
• New conjugacy conditions and related nonlinear conjugate gradient methods

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