On some tensor tubal-Krylov subspace methods via the T-product
Numerical Analysis
2021-03-02 v2 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.2010.14063,
title = {On some tensor tubal-Krylov subspace methods via the T-product},
author = {A. El Ichi and K. Jbilou and R. Sadaka},
journal= {arXiv preprint arXiv:2010.14063},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:2006.07133