Logarithmic convexity of Perron-Frobenius eigenvectors of positive matrices

Author:
Siddhartha Sahi

Journal:
Proc. Amer. Math. Soc. **118** (1993), 1035-1036

MSC:
Primary 15A48; Secondary 15A51

MathSciNet review:
1139482

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be the cone of Perron-Frobenius eigenvectors of stochastic matrices that dominate a fixed substochastic matrix . For each , it is shown that if and are in then so is , where .

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Additional Information

DOI:
http://dx.doi.org/10.1090/S0002-9939-1993-1139482-5

Keywords:
Positive matrix,
stochastic matrix,
Perron-Frobenius eigenvector,
convexity

Article copyright:
© Copyright 1993
American Mathematical Society