International Journal of the Physcal Sciences, cilt.7, sa.1, ss.1-4, 2012 (SCI-Expanded)
ABSTRACT
In this paper, several inequalities involving positive integer powers of the Hadamard product of two
matrices are presented. Firstly, a new upper bound for the product of their determinants and an
inequality that relates the trace of the power of the Hadamard product of two matrices are given. Also,
an alternative proof of the theorem established by Ulukok and Turkmen (2010) was given on the
Frobenius norm of the power of the Hadamard product of two nonnegative matrices.
Key words: Hadamard product, trace inequalities, matrix norm.