Z-Eigenvalues-Based Sufficient Conditions for the Positive Definiteness of Fourth-Order Tensors

Author:

He Jun,Liu Yanmin,Xu Guangjun

Funder

National Natural Science Foundations of China

Science and Technology Foundation of Guizhou province

Guizhou Province Natural Science Foundation in China

Innovative talent team in Guizhou Province

High-level innovative talents of Guizhou Province

The doctoral scientific research foundation of Zunyi Normal College

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference31 articles.

1. Lim, L.H.: Singular values and eigenvalues of tensors: a variational approach. In: CAMSAP’05: Proceeding of the IEEE International Workshop on Computational Advances in MultiSensor Adaptive Processing, pp. 129–132 (2005)

2. Qi, L.: Eigenvalues of a real supersymmetric tensor. J. Symbol. Comput. 40, 1302–1324 (2005)

3. Bose, N.K., Modaress, A.R.: General procedure for multivariable polynomial positivity with control applications. IEEE Trans. Automat. Control. AC21, 596–601 (1976)

4. Bose, N.K., Kamat, P.S.: Algorithm for stability test of multidimensional filters. IEEE Trans. Acoust. Speech Signal Process. ASSP. 20, 169–175 (1975)

5. Fu, M.: Comments on ’A procedure for the positive definiteness of forms of even-order’. IEEE Trans. Automat. Control. 43, 1430 (1998)

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