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Extensions of the Schur majorisation inequalities

, Rajesh Sharma
Published in Elsevier Inc.
Volume: 651
Pages: 385 - 389

Let λj and ajj, 1≤j≤n, be the eigenvalues and the diagonal entries of a Hermitian matrix A, both enumerated in the increasing order. We prove some inequalities that are stronger than the Schur majorisation inequalities ∑j=1rλj≤∑j=1rajj, 1≤r≤n.

About the journal
JournalLinear Algebra and Its Applications
PublisherElsevier Inc.
Open AccessNo