Corpus ID: 17630067

UNITARY EQUIVALENCE OF A MATRIX TO ITS TRANSPOSE

@article{Garcia2009UNITARYEO,
  title={UNITARY EQUIVALENCE OF A MATRIX TO ITS TRANSPOSE},
  author={S. Garcia and James E. Tener},
  journal={arXiv: Functional Analysis},
  year={2009}
}
Motivated by a problem of Halmos, we obtain a canonical decom- position for complex matrices which are unitarily equivalent to their transpose (UET). Surprisingly, the na¨ove assertion that a matrix is UET if and only if it is unitarily equivalent to a complex symmetric matrix holds for matrices 7×7 and smaller, but fails for matrices 8 × 8 and larger. 

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