References
- Bapat R, Raghavan T. Nonnegative matrices and applications. Cambridge: Cambridge University Press; 1997. (Encyclopedia of Mathematics and its Applications; 64).
- Cui L, Chen C, Li W, et al. An eigenvalue problem for even order tensors with its applications. Linear Multilinear Algebra. 2016;64:602–621.
- Cui L, Li M, Song Y. Preconditioned tensor splitting iterations method for solving multi-linear systems. Appl Math Lett. 2019;96:89–94.
- Cui L, Song Y. On the uniqueness of the positive Z-eigenvector for nonnegative tensors. J Comput Appl Math. 2019;352:72–78.
- Horn A. Doubly stochastic matrices and the diagonal of a rotation matrix. Amer J Math. 1954;76:620–630.
- Mirsky L. Proofs of two theorems on doubly stocastic matrices. Proc Amer Math Soc. 1958;9:371–374.
- Zhang L, Shi L. An improved generalized parameterized inexact uzawa method for singular saddle point problems. J Comput Anal Appl. 2017;23(4):671–683.
- Zhang L, Zhang Y, Gu T, et al. New convergence of modulus-based synchronous block multisplitting multi-parameters methods for linear complementarity problems. Comput Appl Math. 2017;36(1):481–492.
- Zhang M, Li W. Nonnegative matrix. Guangzhou: Guangdong Higher Education Press; 1995. Chinese.
- Chang H, Paksoy V, Zhang F. Polytopes of stochastic tensors. Ann Funct Anal. 2016;7(3):386–393.
- Chang K, Qi L, Zhang T. A survey on the spectal theory of nonnegative tensors. Numer Linear Algebr. 2013;20(6):891–912.
- Cui L, Li W, Ng M. Birkhoff-von Neumann theorem for multi-stochastic tensors. SIAM J Matrix Anal Appl. 2014;35(3):956–973.
- Li Z, Zhang F, Zhang X. On the number of vertices of the stochastic tensor polytope. Linear Multilinear A. 2017;65(10):2064–2075.
- Zhang L, Qi L. Linear convergence of an algorithm for computing the largest eigenvalue of a nonnegative tensor. Numer Linear Algebr. 2012;19(5):830–841.
- Ke R, Li W, Xiao M. On extreme points of the set of multi-stochastic tensors. Comput Meth Appl Math. 2016;16(3):459–474.
- Burkard RE, Çela E. Linear assignment problems and extensions. In: Du D, Pardalos PM, editors. Handbook of combinatorial optimization: supplement volume A. Dordrecht: Kluwer Academic; 1999. p. 75–149