Schur's theorem

Asked Mar 29 '14 at 08:51

Active Mar 29 '14 at 08:51

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Let, $A$ be a Hermitian matrix of order $n$. Let, diag$(A)$ denote the vestors whose coordinates are the diagonal entries of $A$ and $\lambda$($A$) denote the vector whose coordinates are the eigen values of $A$ specified in any order. Show that,

diag($A$) majorises $\lambda$(A)

asked Mar 29 '14 at 08:51

Topology

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Comment to the question (v1): It is the eigenvalues that majorize the diagonal elements, cf. Schur-Horn theorem. – Qmechanic Mar 30 '14 at 00:47
can you prove it? @ Qmechanic – Topology Mar 30 '14 at 09:12

Schur's theorem

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