Slice tensor splitting method for solving tensor equation

Zhuling Jiang and Jicheng Li

Applied Mathematics and Computation, 2024, vol. 463, issue C

Abstract: Firstly, we define an (r,r,⋯,r)-slice tensor, and then solve an (r,r,⋯,r)-slice tensor equation by direct method. Secondly, we propose a new splitting of the coefficient tensor to develop a slice tensor splitting method, which is different from the tensor splitting methods in [1,2]. At each iteration of this method, an (r,r,⋯,r)-slice tensor equation is solved. Finally, we prove the local convergence of the proposed method under appropriate conditions, and give numerical experiments to illustrate the effectiveness of this method.

Keywords: Tensor equation; Slice tensor splitting method; (r,r,⋯,r)-slice tensor equation; Local convergence (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:463:y:2024:i:c:s0096300323005362

DOI: 10.1016/j.amc.2023.128367

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