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The tensor splitting with application to solve multi-linear systems.
- Source :
-
Journal of Computational & Applied Mathematics . Mar2018, Vol. 330, p75-94. 20p. - Publication Year :
- 2018
-
Abstract
- In this paper, firstly, we introduce the variant tensor splittings, and present some equivalent conditions for a strong M -tensor based on the tensor splitting. Secondly, the existence and uniqueness conditions of the solution for multi-linear systems are given. Thirdly, we propose some tensor splitting algorithms for solving multi-linear systems with coefficient tensor being a strong M -tensor. As an application, a tensor splitting algorithm for solving the multi-linear model of higher order Markov chains is proposed. Numerical examples are given to demonstrate the efficiency of the proposed algorithms. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGORITHMS
*MARKOV processes
*TENSOR algebra
*EIGENVALUES
*APPLIED mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 330
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 125943947
- Full Text :
- https://doi.org/10.1016/j.cam.2017.08.009