Summary
In this letter we display the explicit form of the inverse of the commutation operator [A, ·],A being a matrix of arbitrary dimension with simple characteristic roots.
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See, for instance,R. Bellman:Introduction to Matrix Analysis (New York, N.Y., 1960).
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Bruschi, M., Ragnisco, O. On the inversion of the commutation operator. Lett. Nuovo Cimento 38, 41–44 (1983). https://doi.org/10.1007/BF02782774
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DOI: https://doi.org/10.1007/BF02782774