Schur–Horn Theorem

(Theory)

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

Technology Types

matrix theoryorder theorypropositionspectral theorystatementtheoremtheorems in linear algebratheory

Synonyms

Schur-Horn theoremThe Schur-Horn Theorem

Translations

Satz von Schur-Horn (de)Teorema di Schur-Horn (it)Théorème de Schur-Horn (fr)슈어-혼 정리 (ko)

Tech Info


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