Uniqueness and perturbation bounds for sparse non-negative tensor equations

doi:10.1007/s11464-018-0707-y

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	Uniqueness and perturbation bounds for sparse non-negative tensor equations
	Liu,Dongdong 1,4; Li,Wen 2; Ng,Michael K.3; Vong,Seak Weng4
	2018-08-01
Source Publication	Frontiers of Mathematics in China
ISSN	1673-3452
Volume	13 Issue:4 Pages:849-874
Abstract	We discuss the uniqueness and the perturbation analysis for sparse non-negative tensor equations arriving from data sciences. By two different techniques, we may get better ranges of parameters to guarantee the uniqueness of the solution of the tensor equation. On the other hand, we present some perturbation bounds for the tensor equation. Numerical examples are given to show the efficiency of the theoretical results.
Keyword	Perturbation Stochastic Tensor Tensor Equation Uniqueness
DOI	10.1007/s11464-018-0707-y
URL	View the original
Language	英語English
WOS ID	WOS:000440606300006
Scopus ID	2-s2.0-85048768441
Fulltext Access	View Full-Text via DOI View Full-Text via Web of Science View Full-Text via Scopus
Citation statistics
Document Type	Journal article
Collection	DEPARTMENT OF MATHEMATICS
Corresponding Author	Li,Wen
Affiliation	1.School of Applied Mathematics,Guangdong University of Technology,Guangzhou,510006,China 2.School of Mathematical Sciences,South China Normal University,Guangzhou,510631,China 3.Department of Mathematics,Hong Kong Baptist University,Hong Kong 4.Department of Mathematics,University of Macau,Macao
First Author Affilication	University of Macau
Recommended Citation GB/T 7714	Liu,Dongdong,Li,Wen,Ng,Michael K.,et al. Uniqueness and perturbation bounds for sparse non-negative tensor equations[J]. Frontiers of Mathematics in China, 2018, 13(4), 849-874.
APA	Liu,Dongdong., Li,Wen., Ng,Michael K.., & Vong,Seak Weng (2018). Uniqueness and perturbation bounds for sparse non-negative tensor equations. Frontiers of Mathematics in China, 13(4), 849-874.
MLA	Liu,Dongdong,et al."Uniqueness and perturbation bounds for sparse non-negative tensor equations".Frontiers of Mathematics in China 13.4(2018):849-874.

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