New criteria for H-tensors and an application

• Autorzy: Feng Wang , Deshu Sun
• Języki publikacji: EN

Abstrakty

EN

Some new criteria for identifying H-tensors are obtained. As an application, some sufficient conditions of the positive definiteness for an even-order real symmetric tensor are given. Advantages of results obtained are illustrated by numerical examples.

Słowa kluczowe

EN

H-tensors; Symmetric tensors; Positive definiteness; Irreducible

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

otrzymano

2015-05-15

zaakceptowano

2015-09-03

online

2015-09-25

Twórcy

autor

Feng Wang

• College of Science, Guizhou Minzu University, Guiyang, Guizhou 550025, P.R. China

autor

Deshu Sun

• College of Science, Guizhou Minzu University, Guiyang, Guizhou 550025, P.R. China

Bibliografia

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• [3] Li, C. Q., Qi, L., Li, Y.T.:MB-tensors andMB0-tensors. Linear Algebra Appl. 484(2015), 141-153.
• [4] Yang, Y., Yang, Q.:Fruther results for Perron-Frobenius theorem for nonnegative tensors. SIAM. J. Mayrix Anal. Appl. 31 (2010), 2517-2530.
• [5] Kolda, T.G., Mayo, J.R.:Shifted power method for computing tensor eigenpairs. SIAM J. Matrix Anal. Appl. 32 (4) (2011), 1095- 1124. [Crossref][WoS]
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• [8] Ni, Q., Qi, L., Wang, F.:An eigenvalue method for the positive definiteness identification problem. IEEE Trans. Automat. Control. 53 (2008), 1096-1107.
• [9] Ni, G., Qi, L., Wang, F., Wang, Y.:The degree of the E-characteristic polynomial of an even order tensor. J. Math. Anal. Appl. 329(2007), 1218-1229.
• [10] Zhang, L., Qi, L., Zhou, G.:M-tensors and some applications. SIAM J. Matrix Anal. Appl. 32(2014), 437-452.
• [11] Ding, W., Qi, L., Wei, Y.:M-tensors and nonsingular M-tensors. Linear Algebra Appl. 439 (2013), 3264-3278.
• [12] Li, C. Q., Wang, F., Zhao, J.X., Zhu, Y., Li, Y.T.: Criterions for the positive definiteness of real supersymmetric tensors. J. Comput. Appl. Math. 255(2014), 1-14. [WoS]

Identyfikatory

DOI

10.1515/math-2015-0058