Abstract
How to determine whether a matrix is generalized strictly diagonally dominant is an important research topic and there have been many studies. Quasi-strictly diagonally dominant tensors are generalizations of generalized diagonally dominant matrices, and some conclusions on discriminating generalized strictly diagonal matrices have been extended to discriminating quasi-strictly diagonally dominant tensors. In this paper, several new sufficient conditions for judging quasi-strictly diagonally dominant tensors are proposed and compared with an existing related condition. We show that the proposed sufficient conditions either improve the existing related condition or do not include each other, and some examples are given to illustrate them.
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Communicated by Yimin Wei.
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The author’s work is supported by the National Natural Science Foundation of China (Grant No. 11871051).
The author’s work is supported by the National Natural Science Foundation of China (Grant No. 11771328)
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Deng, Z., Huang, ZH. & Miao, X. Sufficient conditions for judging quasi-strictly diagonally dominant tensors. Comp. Appl. Math. 42, 63 (2023). https://doi.org/10.1007/s40314-023-02184-2
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DOI: https://doi.org/10.1007/s40314-023-02184-2
Keywords
- Quasi-strictly diagonally dominant tensor
- H-tensor
- M-tensor
- Diagonally dominant tensor
- Irreducible tensor