LOGARITHMIC CONVEXITY OF PERRON-FROBENIUS EIGENVECTORS OF POSITIVE MATRICES

Authors
SAHI S
Citation
S. Sahi, LOGARITHMIC CONVEXITY OF PERRON-FROBENIUS EIGENVECTORS OF POSITIVE MATRICES, Proceedings of the American Mathematical Society, 118(4), 1993, pp. 1035-1036
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
118
Issue
4
Year of publication
1993
Pages
1035 - 1036
Database
ISI
SICI code
0002-9939(1993)118:4<1035:LCOPEO>2.0.ZU;2-Q
Abstract
Let C(S) be the cone of Perron-Frobenius eigenvectors of stochastic ma trices that dominate a fixed substochastic matrix S. For each 0 less-t han-or-equal-to alpha less-than-or-equal-to 1, it is shown that if u a nd v are in C(S) then so is w, where w(j) = u(j)alpha v(j)1-alpha.