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 Comparison results for splitting iterations for solving multi-linear systems Li, Wen1; Liu, Dongdong2,3; Vong, Seak-Weng3 2018-12 Source Publication APPLIED NUMERICAL MATHEMATICS ISSN 0168-9274 Volume 134Pages:105-121 Abstract 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. Keyword Comparison Theorem Tensor Splitting Spectral Radius Multi-linear Systems Preconditioned Methods DOI 10.1016/j.apnum.2018.07.009 URL View the original Indexed By SCIE Language 英语 WOS Research Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000447092000008 Publisher ELSEVIER SCIENCE BV The Source to Article WOS Fulltext Access Citation statistics Cited Times [WOS]:18   [WOS Record]     [Related Records in WOS] Document Type Journal article Collection DEPARTMENT OF MATHEMATICS Corresponding Author Liu, Dongdong Affiliation 1.School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China2.School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510006, China3.Department of Mathematics, University of Macau, Macau, China Corresponding Author Affilication University of Macau Recommended CitationGB/T 7714 Li, Wen,Liu, Dongdong,Vong, Seak-Weng. Comparison results for splitting iterations for solving multi-linear systems[J]. APPLIED NUMERICAL MATHEMATICS,2018,134:105-121. APA Li, Wen,Liu, Dongdong,&Vong, Seak-Weng.(2018).Comparison results for splitting iterations for solving multi-linear systems.APPLIED NUMERICAL MATHEMATICS,134,105-121. MLA Li, Wen,et al."Comparison results for splitting iterations for solving multi-linear systems".APPLIED NUMERICAL MATHEMATICS 134(2018):105-121.
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