Some criteria for spectral finiteness of a finite subset of the real   matrix space $\mathbb{R}^{d\times d}$
  In this paper, we present some checkable criteria for the spectral finiteness of a finite subset of the real $d\times d$ matrix space $\mathbb{R}^{d\times d}$, where $2\le d<\infty$. 
Xiongping Dai
math.NA math.OC math.RA