Tensor GMRES and Golub-Kahan Bidiagonalization methods via the Einstein product with applications to image and video processing
Numerical Analysis
2020-05-18 v1 Numerical Analysis
Abstract
In the present paper, we are interested in developing iterative Krylov subspace methods in tensor structure to solve a class of multilinear systems via Einstein product. In particular, we develop global variants of the GMRES and Gloub--Kahan bidiagonalization processes in tensor framework. We further consider the case that mentioned equation may be possibly corresponds to a discrete ill-posed problem. Applications arising from color image and video restoration are included.
Keywords
Cite
@article{arxiv.2005.07458,
title = {Tensor GMRES and Golub-Kahan Bidiagonalization methods via the Einstein product with applications to image and video processing},
author = {M. El Guide and A. El Ichi and F. P. A Beik and K. Jbilou},
journal= {arXiv preprint arXiv:2005.07458},
year = {2020}
}