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- W2080309414 abstract "The entropy contraction coefficient associated with the convex function g and column-stochastic matrix A is defined as ηg(A)=supx≠yHg(Ax,Ay)Hg(x,y), where Hg(x,y) denotes the relative g-entropy of the probability vectors x and y. We show that, for each fixed A, all entropy contraction coefficients associated with convex operator functions are equivalent. In particular, ηlog(A)=ηw2(A)∀A, where the subscripts log and w2 refer, respectively, to the usual logarithmic relative entropy and to the relative g-entropy for the function g(w)=w2. We also give a useful new characterization of ηw2(A)." @default.
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- W2080309414 date "1994-09-01" @default.
- W2080309414 modified "2023-09-23" @default.
- W2080309414 title "Equivalence of certain entropy contraction coefficients" @default.
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- W2080309414 doi "https://doi.org/10.1016/0024-3795(94)90428-6" @default.
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