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- W2127190111 abstract "Let A be a nonnegative square matrix whose symmetric part has rank one. Tournament matrices are of this type up to a positive shift by 1/2 I . When the symmetric part of A is irreducible, the Perron value and the left and right Perron vectors of L (A,α)=(1−α)A+αA t are studied and compared as functions of α ∈[0,1/2]. In particular, upper bounds are obtained for both the Perron value and its derivative as functions of the parameter α via the notion of the q -numerical range." @default.
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- W2127190111 date "2003-02-01" @default.
- W2127190111 modified "2023-09-28" @default.
- W2127190111 title "The Perron eigenspace of nonnegative almost skew-symmetric matrices and Levinger’s transformation" @default.
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- W2127190111 doi "https://doi.org/10.1016/s0024-3795(02)00439-1" @default.
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