Tensor Krylov subspace methods with an invertible linear transform product applied to image processing

DOI10.1016/j.apnum.2021.04.007zbMath1465.65035OpenAlexW3154332299MaRDI QIDQ2029165

Ugochukwu O. Ugwu, Lothar Reichel

Publication date: 3 June 2021

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2021.04.007

zbMATH Keywords

discrepancy principlelinear discrete ill-posed probleminvertible linear transformtensor Arnoldi processtensor bidiagonalization processtensor Tikhonov regularization

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Multilinear algebra, tensor calculus (15A69)

Related Items (4)

Weighted tensor Golub-Kahan-Tikhonov-type methods applied to image processing using a t-product ⋮ The Moore-Penrose inverse of tensors via the M-product ⋮ Paige's algorithm for solving a class of tensor least squares problem ⋮ Decomposition-based multiobjective optimization for nonlinear equation systems with many and infinitely many roots

Uses Software

• Regularization tools

Cites Work

• Unnamed Item
• Tensor Decompositions and Applications
• Arnoldi methods for image deblurring with anti-reflective boundary conditions
• Implementations of range restricted iterative methods for linear discrete ill-posed problems
• Factorization strategies for third-order tensors
• Tensor-tensor products with invertible linear transforms
• Golub-Kahan bidiagonalization for ill-conditioned tensor equations with applications
• On the regularizing properties of the GMRES method
• Old and new parameter choice rules for discrete ill-posed problems
• Iterative Tikhonov regularization of tensor equations based on the Arnoldi process and some of its generalizations
• A simplified L-curve method as error estimator
• On the choice of subspace for large-scale Tikhonov regularization problems in general form
• Regularization tools version \(4.0\) for matlab \(7.3\)
• GCV for Tikhonov regularization via global Golub–Kahan decomposition
• Deblurring Images
• Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
• Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
• Augmented GMRES-type versus CGNE methods for the solution of linear ill-posed problems
• Third-Order Tensors as Operators on Matrices: A Theoretical and Computational Framework with Applications in Imaging

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