Preconditioned tensor splitting iterations method for solving multi-linear systems. (October 2019)

• Record Type: Journal Article
• Authors: Cui, Lu-Bin; Li, Ming-Hui; Song, Yisheng
• Is Part Of: Applied mathematics letters. Volume 96(2019)
• Page Start: 89
• Page End: 94
• Publication Date: 2019-10
• Subjects: Multi-linear system -- Tensor splitting -- Preconditioning -- Strong M-tensor -- Convergence; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2019.04.019
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: 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.