The dominant eigenvalue of an essentially nonnegative tensor
暂无分享,去创建一个
Yi Xu | Liqun Qi | Liping Zhang | Ziyan Luo | L. Qi | Liping Zhang | Yi Xu | Ziyan Luo
[1] Charles R. Johnson,et al. Dominant eigenvalues under trace-preserving diagonal perturbations , 1994 .
[2] S. Gaubert,et al. Perron–Frobenius theorem for nonnegative multilinear forms and extensions , 2009, 0905.1626.
[3] Tamás Terlaky,et al. New stopping criteria for detecting infeasibility in conic optimization , 2009, Optim. Lett..
[4] Marcello Pelillo,et al. A generalization of the Motzkin–Straus theorem to hypergraphs , 2009, Optim. Lett..
[5] Liqun Qi,et al. D-eigenvalues of diffusion kurtosis tensors , 2008 .
[6] Joel E. Cohen,et al. CONVEXITY OF THE DOMINANT EIGENVALUE OF AN ESSENTIALLY NONNEGATIVE MATRIX , 1981 .
[7] Liqun Qi,et al. Eigenvalues of a real supersymmetric tensor , 2005, J. Symb. Comput..
[8] Tan Zhang,et al. Primitivity, the Convergence of the NQZ Method, and the Largest Eigenvalue for Nonnegative Tensors , 2011, SIAM Journal on Matrix Analysis and Applications.
[9] P. Harker. Derivatives of the Perron root of a positive reciprocal matrix: With application to the analytic hierarchy process , 1987 .
[10] Lek-Heng Lim,et al. Singular values and eigenvalues of tensors: a variational approach , 2005, 1st IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, 2005..
[11] Joel E. Cohen,et al. Derivatives of the spectral radius as a function of non-negative matrix elements , 1978, Mathematical Proceedings of the Cambridge Philosophical Society.
[12] Michael K. Ng,et al. Finding the Largest Eigenvalue of a Nonnegative Tensor , 2009, SIAM J. Matrix Anal. Appl..
[13] J. Kingman. A convexity property of positive matrices , 1961 .
[14] Liqun Qi,et al. Algebraic connectivity of an even uniform hypergraph , 2012, J. Comb. Optim..
[15] L. Qi,et al. Conditions for strong ellipticity and M-eigenvalues , 2009 .
[16] S. Friedland. Convex spectral functions , 1981 .
[17] B. Sturmfels,et al. The number of eigenvalues of a tensor , 2010, 1004.4953.
[18] Liqun Qi,et al. Linear convergence of an algorithm for computing the largest eigenvalue of a nonnegative tensor , 2012, Numer. Linear Algebra Appl..
[19] Yi,et al. LINEAR CONVERGENCE OF THE LZI ALGORITHM FOR WEAKLY POSITIVE TENSORS , 2012 .
[20] Yongjun Liu,et al. An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor , 2010, J. Comput. Appl. Math..
[21] Marcello Pelillo,et al. New Bounds on the Clique Number of Graphs Based on Spectral Hypergraph Theory , 2009, LION.
[22] Charles R. Johnson,et al. Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.
[23] Liqun Qi,et al. Semismoothness of the maximum eigenvalue function of a symmetric tensor and its application , 2013 .
[24] Kung-Ching Chang,et al. Perron-Frobenius theorem for nonnegative tensors , 2008 .
[25] HMED,et al. A Spectral Theory for Tensors , 2011 .
[26] K. Pearson. Essentially Positive Tensors , 2010 .
[27] L. Collatz. Einschließungssatz für die charakteristischen Zahlen von Matrizen , 1942 .
[28] Michael W. Mahoney,et al. Future Directions in Tensor-Based Computation and Modeling , 2009 .
[29] Qingzhi Yang,et al. Further Results for Perron-Frobenius Theorem for Nonnegative Tensors , 2010, SIAM J. Matrix Anal. Appl..
[30] L. Qi. The Spectral Theory of Tensors (Rough Version) , 2012, 1201.3424.
[31] R. Roth,et al. On the eigenvectors belonging to the minimum eigenvalue of an essentially nonnegative symmetric matrix with bipartite graph , 1989 .
[32] Kung-Ching Chang,et al. On eigenvalue problems of real symmetric tensors , 2009 .
[33] R. Nussbaum. Convexity and log convexity for the spectral radius , 1986 .