ELA, Volume 6, pp. 56-61, March 2000, abstract.
On Inequalities Involving the Hadamard Product of Matrices
B. Mond and J. Pecaric
Recently, the authors established a number of inequalities
involving integer powers of the Hadamard product of two
positive definite Hermitian matrices. Here these results
are extended in two ways. First, the restriction to integer
powers is relaxed to include all real numbers not in the open
interval (-1,1). Second, the results are extended to the
Hadamard product of any finite number of Hermitian positive
definite matrices.