The tensor Golub–Kahan–Tikhonov method applied to the solution of ill‐posed problems with a t‐product structure

DOI10.1002/nla.2412OpenAlexW3209797379MaRDI QIDQ5071634

Ugochukwu O. Ugwu, Lothar Reichel

Publication date: 22 April 2022

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.2412

zbMATH Keywords

Tikhonov regularizationdiscrepancy principlediscrete ill-posed problemt-producttensor Golub-Kahan bidiagonalization

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22)

Related Items (9)

Weighted tensor Golub-Kahan-Tikhonov-type methods applied to image processing using a t-product ⋮ An almost-maximal residual tensor block Kaczmarz method for large tensor linear systems ⋮ Spectral computation with third-order tensors using the t-product ⋮ The global Golub-Kahan method and Gauss quadrature for tensor function approximation ⋮ Paige's algorithm for solving a class of tensor least squares problem ⋮ The new Krylov subspace methods for solving tensor equations via \(T\)-product ⋮ Unnamed Item ⋮ Tensor Arnoldi-Tikhonov and GMRES-type methods for ill-posed problems with a t-product structure ⋮ Perturbation analysis for t-product-based tensor inverse, Moore-Penrose inverse and tensor system

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