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 symmetr...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.展开更多
基金Supported by the National Natural Science Foundation of China(Grant Nos.61573016 11361074+4 种基金 1150114111601473 11861077)CAS' Light of West China’ ProgramScience and Technology Top-notch Talents Support Project of Education Department of Guizhou Province 154(Grant No.QJHKYZ[2016]066)
文摘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.
