Geodesic
Some matrix inequalities of log-majorization type
Canadian mathematical bulletin, Tome 65 (2022) no. 1, pp. 95-105

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DOI

The purpose of this paper is twofold: we present some matrix inequalities of log-majorization type for eigenvalues indexed by a sequence; we then apply our main theorem to generalize and improve the Hua–Marcus’ inequalities. Our results are stronger and more general than the existing ones.
DOI : 10.4153/S0008439521000102
Mots-clés : Eigenvalue, Hua’s determinant inequality, log-majorization, majorization inequality 
Xi, Bo-Yan; Zhang, Fuzhen. Some matrix inequalities of log-majorization type. Canadian mathematical bulletin, Tome 65 (2022) no. 1, pp. 95-105. doi: 10.4153/S0008439521000102
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