Iterative methods for solving Sylvester transpose tensor equation \(\mathcal A\star_N\mathcal X\star_M\mathcal{B}+\mathcal{C}\star_M\mathcal X^T\star_N\mathcal{D}=\mathcal{E} \)

DOI10.1007/s43069-021-00107-7zbMath1480.65105OpenAlexW3216024474MaRDI QIDQ2068845

Eisa Khosravi Dehdezi

Publication date: 20 January 2022

Published in: SN Operations Research Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43069-021-00107-7

zbMATH Keywords

iterative methodsSylvester equationtensor equationsgradient basedEinstein product

Mathematics Subject Classification ID

Multilinear algebra, tensor calculus (15A69) Numerical linear algebra (65F99) Numerical methods for matrix equations (65F45)

Uses Software

• TensorToolbox

Cites Work

• Tensor Decompositions and Applications
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• Solving multi-linear systems with \(\mathcal {M}\)-tensors
• Iterative least-squares solutions of coupled sylvester matrix equations
• An eigenvalue problem for even order tensors with its applications
• Moore–Penrose inverse of tensors via Einstein product
• Solving Multilinear Systems via Tensor Inversion
• Efficient MATLAB Computations with Sparse and Factored Tensors
• A Hessenberg-Schur method for the problem AX + XB= C
• Tensor inversion and its application to the tensor equations with Einstein product
• An iterative algorithm to solve the generalized Sylvester tensor equations
• An optimal preconditioner for tensor equations involving Einstein product
• Krylov subspace methods to solve a class of tensor equations via the Einstein product
• Gradient based iterative algorithms for solving a class of matrix equations
• Further results on generalized inverses of tensors via the Einstein product
• Tensor Analysis
• Iterative algorithms for solving some tensor equations
• Unnamed Item

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