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- W2410126579 abstract "In this paper, we consider properties of the numerical range of an n-by-n row stochastic matrix A. It is shown that the numerical radius of A satisfies 1≤w(A)≤(1+n)/2, and, moreover, w(A)=1 (resp., w(A)=(1+n)/2) if and only if A is doubly stochastic (resp.,A=[01⋮10]jth for some j, 1≤j≤n). A complete characterization of the A's for which the zero matrix of size n−1 can be dilated to A is also given. Finally, for each n≥2, we determine the smallest rectangular region in the complex plane whose sides are parallel to the x- and y-axis and which contains the numerical ranges of all n-by-n row stochastic matrices." @default.
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- W2410126579 date "2016-10-01" @default.
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- W2410126579 title "Numerical ranges of row stochastic matrices" @default.
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- W2410126579 doi "https://doi.org/10.1016/j.laa.2016.06.010" @default.
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