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- W1983380863 abstract "Ky Fan's result states that the real parts of the eigenvalues of an n×n complex matrix A is majorized by the real singular values of A. The converse was established independently by Amir-Moéz and Horn, and Mirsky. We extend the results in the context of complex semisimple Lie algebras. The real semisimple case is also discussed. The complex skew symmetric case and the symplectic case are explicitly worked out in terms of inequalities. The symplectic case and the odd dimensional skew symmetric case can be stated in terms of weak majorization. The even dimensional skew symmetric case involves Pfaffian." @default.
- W1983380863 created "2016-06-24" @default.
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- W1983380863 date "2015-03-01" @default.
- W1983380863 modified "2023-09-28" @default.
- W1983380863 title "On Ky Fan's result on eigenvalues and real singular values of a matrix" @default.
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- W1983380863 doi "https://doi.org/10.1016/j.laa.2013.09.041" @default.
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