a Department of Mathematics Education, Kyungpook National University, Taegu 702-701, South Korea
b Combinatorial and Computational Mathematics Center, Pohang University of Science and Technology, Pohang, South Korea
Abstract:
In this note we characterize doubly stochastic matrices A whose powers A,A2,A3,… eventually stop, i.e., Ap=Ap+1= for some positive integer p. The characterization enables us to determine the set of all such matrices.