New matrix partial order based on spectrally orthogonal matrix decomposition

Alexander Emilevich Guterman, Alicia Herrero, Néstor Thome · Linear and Multilinear Algebra · 2015

We investigate partial orders on the set of complex square matrices and introduce a new order relation based on spectrally orthogonal matrix decompositions. We also establish the relation of this concept with the known orders.

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