Applying the structure of the tensor,a class of bi-diagonally dominant tensors is defined and proved to be H-tensors.As an application,estimation inequalities is given by this article for upper and lower bounds on the H-spectral radius of non-negative tensors,and improve the classical Perron-Frobenius theorem for upper and lower bounds on the H-spectral radius of non-negative tensors.
关键词
双对角占优H-张量/非负张量/谱半径的估计
Key words
bi-diagonally dominant H-tensor/non-negative tensor/estimation of the H-spectral radius