Paper Info
Title
A new preconditioner of the tensor splitting iterative method for solving multi-linear systems with \(\mathcal {M}\)-tensors
Abstract
In this paper, we propose a new preconditioner of the tensor splitting iterative method for solving multi-linear systems with $$\mathcal {M}$$-tensors. We theoretically show that the spectral radii of the preconditioner iterative tensor decrease as the parameters in the new preconditioners increase, if the preconditioned tensor is a strong $$\mathcal {M}$$-tensor. Based on this, we give the comparison for spectral radii of preconditioned iterative tensors. Numerical examples are given to show our theoretical results and the efficiency of our new preconditioner. We also show the efficiency of our preconditioner used to solving higher order Markov chain.
Year
DOI
Venue
2020
10.1007/s40314-020-01194-8
Computational and Applied Mathematics
Keywords
DocType
Volume
Multi-linear system, Preconditioning, Strong -tensor, Iterative method, Higher order Markov chain, 15A18, 15A69
Journal
39
Issue
ISSN
Citations 
3
2238-3603
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Lu-Bin Cui100.34
Xiao-Qing Zhang200.34
Shi-liang Wu39015.82