Monotonicity for entrywise functions of matrices
نویسنده
چکیده
We characterize real functions f on an interval (−α, α) for which the entrywise matrix function [aij ] 7→ [f(aij)] is positive, monotone and convex, respectively, in the positive semidefiniteness order. Fractional power functions are exemplified and related weak majorizations are shown. AMS subject classification: 15A45, 15A48
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تاریخ انتشار 2008