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Doubly stochastic matrices whose powers eventually stop
Authors:Suk-Geun Hwang  Sung-Soo Pyo  
Affiliation:

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.
Keywords:Doubly stochastic matrix   J-potent
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