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Paper detail

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

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.

preprint2021arXivOpen access
A. El IchiK. JbilouR. Sadaka
math.NANumerical Analysis
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A. El IchiK. JbilouR. Sadaka

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