期刊
APPLIED NUMERICAL MATHEMATICS
卷 134, 期 -, 页码 105-121出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.apnum.2018.07.009
关键词
Comparison theorem; Tensor splitting; Spectral radius; Multi-linear systems; Preconditioned methods
资金
- National Natural Science Foundation of China [11671158, 11771159]
- Major Project of Guangdong Provincial Universities [2016KZDXM025]
- Innovation Team Project of Guangdong Provincial Universities [2015KCXTD007]
- University of Macau [MYRG2017-00098-FST, MYRG2018-00047-FST]
- Macao Science and Technology Development Fund [050/2017/A]
It is known that the spectral radius of the iterative tensor can be seen as an approximate convergence rate for solving multi-linear systems by tensor splitting iterative methods. So in this paper, first we give some spectral radius comparisons between two different iterative tensors. Then, we propose the preconditioned tensor splitting method for solving multi-linear systems, which provides an alternative algorithm with the choice of a preconditioner. In particular, also we give some spectral radius comparisons between the preconditioned iterative tensor and the original one. Numerical examples are given to demonstrate the efficiency of the proposed preconditioned methods. (C) 2018 IMACS. Published by Elsevier B.V. All rights reserved.
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