Inequalities for Semi-convex Matrix Functions
نویسندگان
چکیده
منابع مشابه
Trace-Inequalities and Matrix-Convex Functions
A real-valued continuous function f t on an interval α, β gives rise to a map X → f X via functional calculus from the convex set of n × n Hermitian matrices all of whose eigenvalues belong to the interval. Since the subpace of Hermitianmatrices is providedwith the order structure induced by the cone of positive semidefinite matrices, one can consider convexity of this map. We will characterize...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1994
ISSN: 0022-247X
DOI: 10.1006/jmaa.1994.1255