Tensor Krylov subspace methods via the T-product for large Sylvester tensor equations

F. Bouyghf; M. El Guide; A. El Ichi

Tensor Krylov subspace methods via the T-product for large Sylvester tensor equations

Numerical Analysis 2024-05-16 v1 Numerical Analysis

Authors: F. Bouyghf , M. El Guide , A. El Ichi

Abstract

In the present paper, we introduce new tensor krylov subspace methods for solving large Sylvester tensor equations. The proposed method uses the well-known T-product for tensors and tensor subspaces. We introduce some new tensor products and the related algebraic properties. These new products will enable us to develop third-order the tensor FOM (tFOM), GMRES (tGMRES), tubal Block Arnoldi and the tensor tubal Block Arnoldi method to solve large Sylvester tensor equation. We give some properties related to these method and present some numerical experiments.

Keywords

krylov subspace methods

Cite

@article{arxiv.2405.09233,
  title  = {Tensor Krylov subspace methods via the T-product for large Sylvester tensor equations},
  author = {F. Bouyghf and M. El Guide and A. El Ichi},
  journal= {arXiv preprint arXiv:2405.09233},
  year   = {2024}
}

Comments

arXiv admin note: text overlap with arXiv:2006.07133, arXiv:2010.14063

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