Frontiers of Mathematics in China >
Criterions for identifying -tensors
Received date: 30 Jan 2015
Accepted date: 18 Jan 2016
Published date: 17 May 2016
Copyright
Some new criteria for identifying -tensors are obtained. As applications, some sufficient conditions of the positive definiteness for an evenorder real symmetric tensor are given, as well as a new eigenvalue inclusion region for tensors is established. It is proved that the new eigenvalue inclusion region is tighter than that of Y. Yang and Q. Yang [SIAM J.Matrix Anal. Appl., 2010, 31: 2517–2530]. Numerical examples are reported to demonstrate the corresponding results.
Ruijuan ZHAO , Lei GAO , Qilong LIU , Yaotang LI . Criterions for identifying -tensors[J]. Frontiers of Mathematics in China, 2016 , 11(3) : 661 -678 . DOI: 10.1007/s11464-016-0519-x
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