A rapid and powerful iterative method for computing inverses of sparse tensors with applications

DOI10.1016/j.amc.2021.126720OpenAlexW3205930864WikidataQ114210966 ScholiaQ114210966MaRDI QIDQ2247163

Saeed Karimi, Eisa Khosravi Dehdezi

Publication date: 16 November 2021

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

Full work available at URL: https://doi.org/10.1016/j.amc.2021.126720

zbMATH Keywords

tensoriterative methodinverseMoore-Penrose inverseEinstein product

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Basic linear algebra (15Axx) Linear and multilinear algebra; matrix theory (15-XX)

Related Items (6)

Exploiting higher computational efficiency index for computing outer generalized inverses ⋮ Finite-time zeroing neural networks with novel activation function and variable parameter for solving time-varying Lyapunov tensor equation ⋮ Convergence analysis of iterative methods for computing the T-pseudoinverse of complete full-rank third-order tensors based on the T-product ⋮ Several efficient iterative algorithms for solving nonlinear tensor equation \(\mathcal{X} + \mathcal{A}^T \ast_N \mathcal{X}^{-1} \ast_N \mathcal{A} = \mathcal{I}\) with Einstein product ⋮ HOBi-CGSTAB and HOBi-CRSTAB methods for solving some tensor equations ⋮ Iterative methods for solving Sylvester transpose tensor equation \(\mathcal A\star_N\mathcal X\star_M\mathcal{B}+\mathcal{C}\star_M\mathcal X^T\star_N\mathcal{D}=\mathcal{E} \)

Uses Software

• TensorToolbox

Cites Work

• Unnamed Item
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