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Journal Articles Applied Numerical Mathematics Year : 2022

Tensor Krylov subspace methods via the Einstein product with applications to image and video processing

M. El Guide
  • Function : Author
A. El Ichi
  • Function : Author
F.P.A. Beik
  • Function : Author

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 the Einstein product. In particular, we develop tensor variants of the GMRES and Golub–Kahan bidiagonalization processes in tensor framework. We further consider the case that mentioned equation may be possibly corresponds to a discrete ill-posed multidimensional problem. Applications arising from color image and video restoration are included.
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hal-04413480 , version 1 (23-01-2024)

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M. El Guide, A. El Ichi, Khalide Jbilou, F.P.A. Beik. Tensor Krylov subspace methods via the Einstein product with applications to image and video processing. Applied Numerical Mathematics, 2022, 181, pp.347-363. ⟨10.1016/j.apnum.2022.06.010⟩. ⟨hal-04413480⟩
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