In this article, a system of Yang-Baxter-type matrix equations is studied, XAX = BXB, XBX = AXA, which “generalizes” the matrix Yang-Baxter equation and exhibits a broken symmetry. We investigate the ...

An n × n complex matrix A is said to be a reflexive (anti-reflexive) matrix with respect to the generalized reflection matrix P if A = PAP (A = — PAP). The reflexive and anti-reflexive matrices have ...

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