Logarithmic convexity of Perron-Frobenius eigenvectors of positive matrices
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- by Siddhartha Sahi PDF
- Proc. Amer. Math. Soc. 118 (1993), 1035-1036 Request permission
Abstract:
Let $C(S)$ be the cone of Perron-Frobenius eigenvectors of stochastic matrices that dominate a fixed substochastic matrix $S$. For each $0 \leqslant \alpha \leqslant 1$, it is shown that if $u$ and $v$ are in $C(S)$ then so is $w$, where ${w_j} = u_j^\alpha v_j^{1 - \alpha }$.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 1035-1036
- MSC: Primary 15A48; Secondary 15A51
- DOI: https://doi.org/10.1090/S0002-9939-1993-1139482-5
- MathSciNet review: 1139482