On global iterative schemes based on Hessenberg process for (ill-posed) Sylvester tensor equations

DOI10.1016/j.cam.2019.03.045zbMath1437.65026OpenAlexW2936044690WikidataQ128088018 ScholiaQ128088018MaRDI QIDQ1989166

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

Publication date: 24 April 2020

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2019.03.045

zbMATH Keywords

Tikhonov regularizationperturbation analysisill-posed problemKronecker productHessenberg processSylvester tensor equation

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Multilinear algebra, tensor calculus (15A69) Numerical methods for matrix equations (65F45)

Related Items (18)

FINDING ITERATIVE ALGORITHMS FOR SOLVING GENERALIZED COUPLED SYLVESTER TENSOR EQUATIONS ⋮ Solving coupled tensor equations via higher order LSQR methods ⋮ On tensor tubal-Krylov subspace methods ⋮ Tensor product-type methods for solving Sylvester tensor equations ⋮ Deflated and restarted Krylov subspace methods for Sylvester tensor equations ⋮ The new Krylov subspace methods for solving tensor equations via \(T\)-product ⋮ 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 ⋮ Developing iterative algorithms to solve Sylvester tensor equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A preconditioning technique in conjunction with Krylov subspace methods for solving multilinear systems ⋮ Tensor extrapolation methods with applications ⋮ Some iterative approaches for Sylvester tensor equations. I: A tensor format of truncated loose simpler GMRES ⋮ Golub-Kahan bidiagonalization for ill-conditioned tensor equations with applications ⋮ Unnamed Item ⋮ Preconditioned iterative methods for multi-linear systems based on the majorization matrix ⋮ Preconditioned TBiCOR and TCORS algorithms for solving the Sylvester tensor equation

Uses Software

• Regularization tools
• CMRH
• TensorToolbox

Cites Work

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