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On the eigenvalues and diagonal entries of a Hermitian matrix

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Publication:1208295
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DOI10.1016/0024-3795(93)90317-HzbMath0767.15014MaRDI QIDQ1208295

Thomas L. Markham, Enzhong Fu

Publication date: 16 May 1993

Published in: Linear Algebra and its Applications (Search for Journal in Brave)


zbMATH Keywords

eigenvaluesHermitian matrixblock diagonal


Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)


Related Items (4)

On an extension of Fu-Markham matrix theory result to simple Euclidean Jordan algebras ⋮ Interrelations between eigenvalues and diagonal entries of Hermitian matrices implying their block diagonality ⋮ Eigenvalue inequalities and equalities ⋮ Cases of equality for certain inequalities involving a \(G\)-doubly stochastic map



Cites Work

  • Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix
  • Inequalities: theory of majorization and its applications


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