Preconditioned tensor splitting iterations method for solving multi-linear systems

Autor:	Yisheng Song, Ming-Hui Li, Lu-Bin Cui
Rok vydání:	2019
Předmět:	Iterative method Preconditioner Applied Mathematics 010102 general mathematics Linear system Computer Science::Numerical Analysis 01 natural sciences Mathematics::Numerical Analysis 010101 applied mathematics Convergence (routing) Computer Science::Mathematical Software Order (group theory) Applied mathematics Tensor 0101 mathematics Mathematics
Zdroj:	Applied Mathematics Letters. 96:89-94
ISSN:	0893-9659
DOI:	10.1016/j.aml.2019.04.019
Popis:	In this paper, we intend to solve the multi-linear system by preconditioned iterative method based on tensor splitting. We propose a new preconditioner I + S m a x . In order to compare the convergence rates of preconditioned iterative methods with preconditioner I + S m a x and preconditioner I + S α presented by Li et al. (2018), we propose a new splitting method for tensors. The convergence and comparison theorems of newly proposed splitting method with two preconditioner are given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e0216ccd52e8a30ea24b44a5c87e1efc https://doi.org/10.1016/j.aml.2019.04.019 Zobrazit plný text záznamu Full Text from ScienceDirect