An optimal preconditioner for tensor equations involving Einstein product

DOI10.1080/03081087.2018.1520799zbMath1456.15025OpenAlexW2891375926WikidataQ114641390 ScholiaQ114641390MaRDI QIDQ5145544

Ze-Jia Xie, Vai-Kuong Sin, Xiao-qing Jin

Publication date: 21 January 2021

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2018.1520799

zbMATH Keywords

tensorcirculant tensortensor equationoptimal preconditionerToeplitz tensor

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Multilinear algebra, tensor calculus (15A69) Preconditioners for iterative methods (65F08)

Related Items (10)

Hermitian and skew-Hermitian splitting methods for solving a tensor equation ⋮ A Semi-Tensor Product of Tensors and Applications ⋮ Paige's algorithm for solving a class of tensor least squares problem ⋮ An efficient iterative method for solving a class of constrained tensor least squares problem ⋮ A fast and efficient Newton-Shultz-type iterative method for computing inverse and Moore-Penrose inverse of tensors ⋮ A constraint system of coupled two-sided Sylvester-like quaternion tensor equations ⋮ A gradient based iterative method and associated preconditioning technique for solving the large multilinear systems ⋮ Iterative methods for solving Sylvester transpose tensor equation \(\mathcal A\star_N\mathcal X\star_M\mathcal{B}+\mathcal{C}\star_M\mathcal X^T\star_N\mathcal{D}=\mathcal{E} \) ⋮ Tensor Bi-CR Methods for Solutions of High Order Tensor Equation Accompanied by Einstein Product ⋮ A preconditioned tensor splitting iteration method and associated global correction technique for solving multilinear systems

Uses Software

• mctoolbox

Cites Work

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