TY - JOUR
T1 - Slice tensor splitting method for solving tensor equation
AU - Jiang, Zhuling
AU - Li, Jicheng
N1 - Publisher Copyright:
© 2023 Elsevier Inc.
PY - 2024/2/15
Y1 - 2024/2/15
N2 - 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.
AB - 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.
KW - (r,r,⋯,r)-slice tensor equation
KW - Local convergence
KW - Slice tensor splitting method
KW - Tensor equation
UR - https://www.scopus.com/pages/publications/85173585147
U2 - 10.1016/j.amc.2023.128367
DO - 10.1016/j.amc.2023.128367
M3 - 文章
AN - SCOPUS:85173585147
SN - 0096-3003
VL - 463
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
M1 - 128367
ER -