Two inequalities involving Hadamard products of positive semi-definite Hermitian matrices

CaoChong-Guang; YangZhong-Peng; ZhangXian

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Two inequalities involving Hadamard products of positive semi-definite Hermitian matrices

CaoChong-Guang YangZhong-Peng ZhangXian

Year: 2002

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Abstract

We extend two inequalities involving Hadamard products of positive definite Hermitian matrices to positive semi-definite Hermitian matrices. Simultaneously, we also show the sufficient conditions f...

Keywords:

Hermitian matrix Positive-definite matrix Mathematics Hadamard product Hadamard transform Pure mathematics Inequality Complex Hadamard matrix Hadamard's maximal determinant problem Combinatorics Algebra over a field Hadamard matrix Mathematical analysis Eigenvalues and eigenvectors Physics

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graph theory and CDMA systems

Physical Sciences → Engineering → Electrical and Electronic Engineering

Matrix Theory and Algorithms

Physical Sciences → Computer Science → Computational Theory and Mathematics

Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Two inequalities involving Hadamard products of positive semi-definite Hermitian matrices

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