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:
bulletin of the iranian mathematical societyPublisher: iranian mathematical society (ims)
ISSN 1017-060X
volume 42
issue 1 2016
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