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

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.

arXiv admin note: text overlap with arXiv:2006.07133

References in corpus (2)

• Tensor GMRES and Golub-Kahan Bidiagonalization methods via the Einstein product with applications to image and video processing
• Tensor Krylov subspace methods via the T-product for color image processing