RESEARCH ARTICLE

Criterions for identifying H-tensors

  • Ruijuan ZHAO 1 ,
  • Lei GAO 2,3 ,
  • Qilong LIU 2 ,
  • Yaotang LI , 2
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  • 1. School of Information Engineering, Lanzhou University of Finance and Economics, Lanzhou 730020, China
  • 2. School of Mathematics and Statistics, Yunnan University, Kunming 650091, China
  • 3. Institute of Mathematics and Information Science, Baoji University of Arts and Sciences, Baoji 721013, China

Received date: 30 Jan 2015

Accepted date: 18 Jan 2016

Published date: 17 May 2016

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg

Abstract

Some new criteria for identifying H-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.

Cite this article

Ruijuan ZHAO , Lei GAO , Qilong LIU , Yaotang LI . Criterions for identifying H-tensors[J]. Frontiers of Mathematics in China, 2016 , 11(3) : 661 -678 . DOI: 10.1007/s11464-016-0519-x

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