On tensor GMRES and Golub-Kahan methods via the T-product for color image processing

The present paper is concerned with developing tensor iterative Krylov subspace methods to solve large multi-linear equations. We use the T-product for two tensors define tubal global Arnoldi and Golub-Kahan bidiagonalization algorithms. Furthermore, we illustrate how tensor-based approaches can be exploited ill-posed problems arising from recovering blurry multichannel (color) images videos, using so-called Tikhonov regularization technique, provide computable approximate regularized solutions. also review a generalized cross-validation discrepancy principle type of criterion selection parameter in regularization. Applications image sequence processing are given demonstrate efficiency