Programmable criteria for strong ℋ -tensors

Yaotang Li; Qilong Liu; Liqun Qi

doi:10.1007/s11075-016-0145-4

Programmable criteria for strong ℋ -tensors

Yaotang Li
, Qilong Liu
, Liqun Qi

Research output: Journal article publication › Journal article › Academic research › peer-review

32 Citations (Scopus)

Abstract

Strong ℋ-tensors play an important role in identifying positive semidefiniteness of even-order real symmetric tensors. We provide several simple practical criteria for identifying strong ℋ-tensors. These criteria only depend on the elements of the tensors; therefore, they are easy to be verified. Meanwhile, a sufficient and necessary condition of strong ℋ-tensors is obtained. We also propose an algorithm for identifying the strong ℋ-tensors based on these criterions. Some numerical results show the feasibility and effectiveness of the algorithm.

Original language	English
Pages (from-to)	199-221
Number of pages	23
Journal	Numerical Algorithms
Volume	74
Issue number	1
DOIs	https://doi.org/10.1007/s11075-016-0145-4
Publication status	Published - 1 Jan 2017

Keywords

Irreducible
Positive semidefiniteness
Strong ℋ-tensors

ASJC Scopus subject areas

Applied Mathematics

More information

10.1007/s11075-016-0145-4

Cite this

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KW - Strong ℋ-tensors

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ER -

Programmable criteria for strong ℋ -tensors

Abstract

Keywords

ASJC Scopus subject areas

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