Programmable criteria for strong ℋ -tensors

Yaotang Li, Qilong Liu, Liqun Qi

Research output: Journal article publicationJournal articleAcademic researchpeer-review

21 Citations (Scopus)


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 languageEnglish
Pages (from-to)199-221
Number of pages23
JournalNumerical Algorithms
Issue number1
Publication statusPublished - 1 Jan 2017


  • Irreducible
  • Positive semidefiniteness
  • Strong ℋ-tensors

ASJC Scopus subject areas

  • Applied Mathematics


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