The purpose of this paper is two-fold: 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.
On matrix inequalities between the power means: counterexamples
Matrix Inequalities between $f(A)σf(B)$ and $AσB$
On some determinant and matrix inequalities with a geometrical flavour
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