| $QDB$-Tensors and $SQDB$-Tensors |
| Received:May 10, 2018 Revised:August 30, 2018 |
| Key Words:
$B$-tensors $QDB$-tensors $SQDB$-tensors positive definite $P$-tensors
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.61573016; 11361074; 11501141; 11601473; 11861077), CAS'Light of West China' Program, Science and Technology Top-notch Talents Support Project of Education Department of Guizhou Province 154 (Grant No.QJHKYZ[2016]066). |
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| Abstract: |
| In this paper, we propose four new classes of structured tensors: $QDB(QDB_0)$-tensors and $SQDB(SQDB_0)$-tensors, and prove that even order symmetric $QDB$-tensors and $SQDB$-tensors are positive definite, even order symmetric $QDB_0$-tensors and $SQDB_0$-tensors are positive semi-definite. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2019.02.002 |
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