%0 Journal Article %T Some criteria for spectral finiteness of a finite subset of the real matrix space $\mathbb{R}^{d\times d}$ %A Xiongping Dai %J Mathematics %D 2012 %I arXiv %X 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 $2\le d<\infty$. %U http://arxiv.org/abs/1206.2110v1