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Diagonal similarity of
irreducible matrices to row stochastic matrices
Darald Joe Hartfiel and J. W. Spellmann |
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Vol. 40 (1972), No. 1, 97–99
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Abstract |
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By using the Perron-Frobenius Theorem it is easily shown that if A is an irreducible matrix then there is a diagonal matrix D with positive main diagonal so that DAD−1 = rS where r is a positive scalar and S a stochastic matrix. This paper gives a short proof of this result without direct appeal to the Perron-Frobenius Theorem. |
Mathematical Subject Classification 2000
Primary: 15A21
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Milestones
Received: 4 December 1970
Revised: 6 May 1971
Published: 1 January 1972
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Authors |
| Darald Joe Hartfiel | |
| J. W. Spellmann | |
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