CONCAVITY OF CERTAIN MATRIX TRACE FUNCTIONS
نویسندگان
چکیده
منابع مشابه
Concavity of Monotone Matrix Functions of Finite Order
Let f : (0; 1) ! R be a monotone matrix function of order n for some arbitrary but xed value of n. We show that f is a matrix concave function of order bn=2c and that kf(A) ? f(B)k kf(jA ? Bj)k for all n-by-n positive semideenite matrices A and B, and all unitarily invariant norms k k. Because f is not assumed to be a monotone matrix function of all orders, Loewner's integral representation of ...
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ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 2001
ISSN: 1027-5487
DOI: 10.11650/twjm/1500574948