School of Mathematical Sciences, Huaibei Normal University, Huaibei 235000, P.R. China.
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.
Chen, D., & Zhang, Y. (2016). Weak log-majorization inequalities of singular values between normal matrices and their absolute values. Bulletin of the Iranian Mathematical Society, 42(1), 143-153.
MLA
D. Chen; Y. Zhang. "Weak log-majorization inequalities of singular values between normal matrices and their absolute values". Bulletin of the Iranian Mathematical Society, 42, 1, 2016, 143-153.
HARVARD
Chen, D., Zhang, Y. (2016). 'Weak log-majorization inequalities of singular values between normal matrices and their absolute values', Bulletin of the Iranian Mathematical Society, 42(1), pp. 143-153.
VANCOUVER
Chen, D., Zhang, Y. Weak log-majorization inequalities of singular values between normal matrices and their absolute values. Bulletin of the Iranian Mathematical Society, 2016; 42(1): 143-153.
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