: Mathematics: Schur-Horn theorem

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Schur-Horn theorem

In mathematics, particularly linear algebra, the Schur–Horn theorem, named after Issai Schur and Alfred Horn, characterizes the diagonal of a Hermitian matrix with given eigenvalues. It has inspired investigations and substantial generalizations in the setting of symplectic geometry.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Schur%E2%80%93Horn_theorem)

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