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arXiv · 1504.06790

Unitary and orthogonal equivalence of sets of matrices

Naihuan Jing
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Abstract

Two matrices $A$ and $B$ are called unitary (resp. orthogonal) equivalent if $AU=VB$ for two unitary (resp. orthogonal) matrices $U$ and $V$. Using trace identities, criteria are given for simultaneous unitary, orthogonal or complex orthogonal equivalence between two sets of matrices.

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Naihuan Jing. 2015-04-26. Unitary and orthogonal equivalence of sets of matrices. https://doi.org/10.1016/j.laa.2015.04.036

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