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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. A few important generalizations are Kostant's convexity theorem, , .

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  • In der Mathematik charakterisiert der Satz von Schur-Horn die möglichen Eigenwerte einer hermiteschen Matrix mit gegebener Hauptdiagonale. (de)
  • En mathématiques, le théorème de Schur-Horn est un théorème d'algèbre linéaire caractérisant l'ensemble des diagonales possibles, pour une matrice hermitienne de valeurs propres prescrites. (fr)
  • 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. A few important generalizations are Kostant's convexity theorem, , . (en)
  • 슈어-혼 정리(Schur-Horn theorem, -定理)는 선형대수학에서, 에르미트 행렬의 과 그 고윳값 간의 관계에 대한 조건을 제공하는 정리이다. 독일의 수학자 이사이 슈어(Issai Schur)와 미국의 수학자 (Alfred Horn)의 이름이 붙어 있다. (ko)
  • In matematica, in particolare in algebra lineare, il teorema di Schur-Horn caratterizza la diagonale di una matrice hermitiana con autovalori dati. (it)
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  • If , and then the following are equivalent : . There are points in such that and for each in , some transposition in , and some in , depending on . (en)
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  • Lemma (en)
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  • In der Mathematik charakterisiert der Satz von Schur-Horn die möglichen Eigenwerte einer hermiteschen Matrix mit gegebener Hauptdiagonale. (de)
  • En mathématiques, le théorème de Schur-Horn est un théorème d'algèbre linéaire caractérisant l'ensemble des diagonales possibles, pour une matrice hermitienne de valeurs propres prescrites. (fr)
  • 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. A few important generalizations are Kostant's convexity theorem, , . (en)
  • 슈어-혼 정리(Schur-Horn theorem, -定理)는 선형대수학에서, 에르미트 행렬의 과 그 고윳값 간의 관계에 대한 조건을 제공하는 정리이다. 독일의 수학자 이사이 슈어(Issai Schur)와 미국의 수학자 (Alfred Horn)의 이름이 붙어 있다. (ko)
  • In matematica, in particolare in algebra lineare, il teorema di Schur-Horn caratterizza la diagonale di una matrice hermitiana con autovalori dati. (it)
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  • Satz von Schur-Horn (de)
  • Théorème de Schur-Horn (fr)
  • Teorema di Schur-Horn (it)
  • 슈어-혼 정리 (ko)
  • Schur–Horn theorem (en)
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