5 citations · 9 across the 9 of their papers we have counts for
10 papers
Consequences of Matrices Sharing Eigenvalues and Eigenvectors
Kayla Miller, Steven J. Miller, Fuzhen Zhang
While studying for a linear algebra final, the first named author prepared some test questions for herself to see how well she understood the material, and asked the second named a…
Comparison of the upper bounds for the extreme points of the polytopes of line-stochastic tensors
Fuzhen Zhang, Xiao-Dong Zhang
We call a real multi-dimensional array a {\em tensor} for short. In enumerating vertices of the polytopes of stochastic tensors, different approaches have been used: {(1)} Combinat…
Some matrix inequalities of log-majorization type
Bo-Yan Xi, Fuzhen Zhang
The purpose of this paper is two-fold: we present some matrix inequalities of log-majorization type for eigenvalues indexed by a sequence; we then apply our main theorem to general…
Enumerating extreme points of the polytopes of stochastic tensors: an optimization approac
Fuzhen Zhang, Xiao-Dong Zhang
This paper is concerned with the extreme points of the polytopes of stochastic tensors. By a tensor we mean a multi-dimensional array over the real number field. A line-stochastic…
Eigenvalue continuity and Geršgorin's theorem
Chi-Kwong Li, Fuzhen Zhang
Two types of eigenvalue continuity are commonly used in the literature. However, their meanings and the conditions under which continuities are used are not always stated clearly.…
Harnack type inequalities for matrices in majorization
Chaojun Yang, Fuzhen Zhang
Following the recent work of Jiang and Lin (Linear Algebra Appl. 585 (2020) 45--49), we present more results (bounds) on Harnack type inequalities for matrices in terms of majoriza…