[1] Ding, W.Y., Qi, L.Q., Wei, Y.M.: \begin{document}$ \cal{M} $\end{document}-tensors and nonsingular \begin{document}$ \cal{M} $\end{document}-tensors. Linear Algebra Appl. 439, 3264–3278 (2013)
[2] Huang, B.H., Ma, C.F.: Iterative criteria for identifying strong \begin{document}$ \cal{H} $\end{document}-tensors. J. Comput. Appl. Math. 352, 93–109 (2019)
[3] Kannan, M.R., Monderer, N.S., Berman, A.: Some properties of strong \begin{document}$ \cal{H} $\end{document}-tensors and general \begin{document}$ \cal{H} $\end{document}-tensors. Linear Algebra Appl. 476, 42–55 (2015)
[4] Kofidis, E., Regalia, P.A.: On the best rank-1 approximation of higher-order supersymmetric tensors. SIAM J. Matrix Anal. Appl. 23(3), 863–884 (2002)
[5] Kolda, T.G., Mayo, J.R.: Shifted power method for computing tensor eigenpairs. SIAM J. Matrix Anal. Appl. 32(4), 1095–1124 (2011)
[6] Li, C.Q., Li, Y.T.: Double \begin{document}$ B $\end{document}-tensors and quasi-double \begin{document}$ B $\end{document}-tensors. Linear Algebra Appl. 466, 343–356 (2015)
[7] Li, C.Q., Qi, L.Q., Li, Y.T.: \begin{document}$ MB $\end{document}-tensors and \begin{document}$ MB_{0} $\end{document}-tensors. Linear Algebra Appl. 484, 141–153 (2015)
[8] Li, C.Q., Wang, F., Zhao, J.X., Zhu, Y., Li, Y.T.: Criterions for the positive definiteness of real supersymmetric tensors. J. Comput. Appl. Math. 255, 1–14 (2014)
[9] Li, Y.T., Liu, Q.L., Qi, L.Q.: Programmable criteria for strong \begin{document}$ \cal{H} $\end{document}-tensors. Numer. Algorithms 74(1), 1–12 (2017)
[10] Lim, L.: Singular values and eigenvalues of tensors: a variational approach. In: CAMSAP-05: Proceeding of the IEEE International Workshop on Computational Advances in MultiSensor Adaptive Processing, pp. 129–132 (2005)
[11] Liu, Q.L., Li, C.Q., Li, Y.T.: On the iterative criterion for strong \begin{document}$ \cal{H} $\end{document}-tensors. Comput. Appl. Math. 36(4), 1623–1635 (2017)
[12] Liu, Q.L., Zhao, J.X., Li, C.Q., Li, Y.T.: An iterative algorithm based on strong \begin{document}$ \cal{H} $\end{document}-tensors for identifying positive definiteness of irreducible homogeneous polynomial forms. J. Comput. Appl. Math. 369, 112581 (2020)
[13] Ni, G.Y., Qi, L.Q., Wang, F., Wang, Y.J.: The degree of the E-characteristic polynomial of an even order tensor. J. Math. Anal. Appl. 329, 1218–1229 (2007)
[14] Ni, Q., Qi, L.Q., Wang, F.: An eigenvalue method for the positive definiteness identification problem. IEEE Trans. Autom. Control. 53, 1096–1107 (2008)
[15] Qi, L.Q.: Eigenvalues of a real supersymetric tensor. J. Symb. Comput. 40, 1302–1324 (2005)
[16] Qi, L.Q., Song, Y.S.: An even order symmetric \begin{document}$ B $\end{document}-tensor is positive definite. Linear Algebra Appl. 457, 303–312 (2014)
[17] Qi, L.Q., Wang, F., Wang, Y.J.: \begin{document}$ Z $\end{document}-eigenvalue methods for a global polynomial optimization problem. Math. Program. 118, 301–316 (2009)
[18] Wang, F., Sun, D.S.: New criteria for \begin{document}$ \cal{H} $\end{document}-tensors and an application. J. Inequal. Appl. 2016(1), 96 (2016)
[19] Wang, F., Sun, D.S., Xu, Y.M.: Some criteria for identifying \begin{document}$ \cal{H} $\end{document}-tensors and its applications. Calcolo 56, 2–19 (2019)
[20] Wang, F., Sun, D.S., Zhao, J.X., Li, C.Q.: New practical criteria for \begin{document}$ \cal{H} $\end{document}-tensors and its application. Linear Multilinear Appl. 65(2), 269–283 (2017)
[21] Wang, Y., Zhou, G., Caccetta, L.: Nonsingular \begin{document}$ \cal{H} $\end{document}-tensor and its criteria. J. Ind. Manag. Optim. 12(4), 1173–1186 (2016)
[22] Wang, Y.J., Zhang, K.L., Sun, H.C.: Criteria for strong \begin{document}$ \cal{H} $\end{document}-tensors. Front. Math. China 11(3), 577–592 (2016)
[23] Yang, Y.N., Yang, Q.Z.: Further results for Perron-Frobenius theorem for nonnegative tensors. SIAM J. Matrix Anal. Appl. 31, 2517–2530 (2010)
[24] Zhang, K.L., Wang, Y.J.: An \begin{document}$ \cal{H} $\end{document}-tensor based iterative scheme for identifying the positive definiteness of multivariate homogeneous forms. J. Comput. Appl. Math. 305, 1–10 (2016)
[25] Zhang, L.P., Qi, L.Q., Zhou, G.L.: \begin{document}$ \cal{M} $\end{document}-tensors and some applications. SIAM J. Matrix Anal. Appl. 32, 437–452 (2014) |
