Projected Newton method for noise constrained ℓ p regularization

DOI10.1088/1361-6420/abb2fczbMath1455.65048arXiv2005.02687OpenAlexW3080827836MaRDI QIDQ5139326

Jeffrey Cornelis, Wim Vanroose

Publication date: 8 December 2020

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.02687

zbMATH Keywords

Newton's methoddiscrepancy principletotal variation regularizationgeneralized Krylov subspace

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical mathematical programming methods (65K05) Newton-type methods (49M15) Iterative numerical methods for linear systems (65F10)

Related Items (1)

A majorization-minimization Golub-Kahan bidiagonalization method for \(\ell_2-\ell_q\) mimimization with applications in image restorization

Uses Software

• LSQR
• Regularization tools
• PDCO
• IR Tools
• CRAIG

Cites Work

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• PDCO
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• Atomic Decomposition by Basis Pursuit
• Projected Newton method for noise constrained Tikhonov regularization
• Flexible Krylov Methods for $\ell_p$ Regularization
• Discrete Inverse Problems
• Efficient Minimization Method for a Generalized Total Variation Functional
• Calculating the Singular Values and Pseudo-Inverse of a Matrix

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