Weak log-majorization inequalities of singular values between normal matrices and their absolute values
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Abstract:
This paper presents two main results that the singular values of the Hadamard product of normal matrices $A_i$ are weakly log-majorized by the singular values of the Hadamard product of $|A_{i}|$ and the singular values of the sum of normal matrices $A_i$ are weakly log-majorized by the singular values of the sum of $|A_{i}|$. Some applications to these inequalities are also given. In addition, several related and new inequalities are obtained.
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Journal title
volume 42 issue 1
pages 143- 153
publication date 2016-02-01
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