Determinant and Norm Inequalities for Bialternate Products of Matrices

Vladimir V. Monov, Tasho D. Tashev · Proceedings of the Bulgarian Academy of Sciences · 2013

The paper presents further results on the properties of two special matrix products recently studied in [ 1 ]. In particular, we derive inequalities involving the determinant and matrix norms of the bialternate and permanental bialternate products of square matrices. Special attention is paid to the case of Hermitian matrices where both products preserve the Hermitian property of the multiplied factors.

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