Specht's criterion for systems of linear mappings
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DOI: 10.1016/j.laa.2017.01.006
Abstract: Abstract W. Specht (1940) proved that two n × n complex matrices A and B are unitarily similar if and only if trace w ( A , A ⁎ ) = trace w ( B… read more here.
Keywords: criterion; system; systems linear; linear mappings ... See more keywords
Generalization of Roth's solvability criteria to systems of matrix equations
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DOI: 10.1016/j.laa.2017.04.011
Abstract: W.E. Roth (1952) proved that the matrix equation AX-XB=C has a solution if and only if the matrices View the MathML source and View the MathML source are similar. A. Dmytryshyn and B. Kagstrom (2015)… read more here.
Keywords: systems matrix; generalization roth; view mathml; mathml source ... See more keywords