ELA, Volume 15, pp. 269-273, October 2006, abstract. Bounds for the Spectral Radius of Block H-matrices Wei Zhang and Zheng-Zhi Han Simple upper bounds for the spectral radius of an H-matrix and a block H-matrix are presented. They represent an improvement over the bounds in [T.Z. Huang, R.S. Ran, A simple estimation for the spectral radius of (block) H-matrices, Journal of Computational Applied Mathematics, 177 (2005), pp. 455-459].