On some tensor tubal-Krylov subspace methods via the T-product

2020/10/24 by Alaa El Ichi, Ichi, A. El, Khalide Jbilou +3
Computer Science · Mathematics · Physics and Astronomy · #F.2.2 #FOS: Mathematics #Matrix Theory and Algorithms #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.2010.14063

openalex publication_date 2020/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the present paper, we introduce new tensor Krylov subspace methods for solving linear tensor equations. The proposed methods use the well known T-product for tensors and tensor subspaces related to tube fibers. We introduce some new tensor products and the related algebraic properties. These new products will enable us to develop third-order the tensor tubal GMRES and the tensor tubal Golub Kahan methods. We give some properties related to these methods and proopse some numerical experiments.

Citations

• Tensor Decompositions and Applications
• Factorization strategies for third-order tensors

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