Spectral inequalities and equalities involving products of matrices
نویسنده
چکیده
Abstract Let A1, . . . , Ak be n×n matrices. We studied inequalities and equalities involving eigenvalues, diagonal entries, and singular values of A0 = A1 · · ·Ak and those of A1, . . . , Ak. It is shown that the matrices attaining equalities often have special reducible structure. The results are then applied to study normality and reducibility of matrices, extending some results and answering some questions of Miranda, Wang and Zhang.
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تاریخ انتشار 2004