Title of article
Weak log-majorization inequalities of singular values between normal matrices and their absolute values
Author/Authors
Chen، Dongjun نويسنده Huaibei Normal University , , Zhang، Yun نويسنده Professor, Department of Geomatics and Geodesy ,
Issue Information
دوماهنامه با شماره پیاپی 0 سال 2016
Pages
11
From page
143
To page
153
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.
Journal title
Bulletin of the Iranian Mathematical Society
Serial Year
2016
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2388861
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