Article,

The eigenvalue spreads of a Hermitian matrix and its principal submatrices

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Linear and Multilinear Algebra, 32 (3-4): 327--333 (1992)
DOI: 10.1080/03081089208818173

Abstract

Inequalities are proved connecting the eigenvalue spread of a Hermitian matix to the eigenvalue spreads of its collection of principal submatrices. An application is made to the numerical range of general matrices.

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