Trace and determinant inequalities for Hadamard products

International Journal of Physical Sciences

Mustafa Ouml¹ 

关键词: Hadamard product;    trace inequalities;    matrix norm.;   

DOI  :  10.5897/IJPS11.1576

学科分类：物理（综合）

来源: Academic Journals

【 摘 要 】

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.

【 授权许可】

CC BY