Golub-Kahan bidiagonalization for ill-conditioned tensor equations with applications

DOI10.1007/s11075-020-00911-yzbMath1483.65069OpenAlexW3014784102MaRDI QIDQ780416

Mehdi Najafi-Kalyani, Fatemeh Panjeh Ali Beik, Lothar Reichel, Khalide Jbilou

Publication date: 15 July 2020

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-020-00911-y

zbMATH Keywords

Tikhonov regularizationill-posed problemGolub-Kahan bidiagonalizationlinear tensor operator equation

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Matrix equations and identities (15A24) Multilinear algebra, tensor calculus (15A69) Numerical linear algebra (65F99) Numerical methods for matrix equations (65F45)

Related Items (14)

On the solutions of a class of tensor equations ⋮ Weighted tensor Golub-Kahan-Tikhonov-type methods applied to image processing using a t-product ⋮ Tensor Krylov subspace methods via the Einstein product with applications to image and video processing ⋮ An efficient iterative method for solving a class of constrained tensor least squares problem ⋮ Deflated and restarted Krylov subspace methods for Sylvester tensor equations ⋮ One-sided weighted outer inverses of tensors ⋮ A fast and efficient Newton-Shultz-type iterative method for computing inverse and Moore-Penrose inverse of tensors ⋮ Discrete cosine transform LSQR and GMRES methods for multidimensional ill-posed problems ⋮ Unnamed Item ⋮ Tensor Krylov subspace methods with an invertible linear transform product applied to image processing ⋮ The LSQR method for solving tensor least-squares problems ⋮ Tensor Arnoldi-Tikhonov and GMRES-type methods for ill-posed problems with a t-product structure ⋮ Tensorial conditional gradient method for solving multidimensional ill-posed problems ⋮ Unnamed Item

Uses Software

• LSQR
• TensorToolbox
• CRAIG

Cites Work

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