Majorization between the diagonal elements and the eigenvalues of an oscillating matrix

DOI10.1016/0024-3795(82)90236-1zbMath0493.15016OpenAlexW2027509239MaRDI QIDQ1168393

Jürgen Garloff

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0024-3795(82)90236-1

zbMATH Keywords

majorizationoscillatory matrixinterlacing propertydiagonal elements

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (3)

An inverse eigenvalue problem for totally nonnegative matrices ⋮ Totally positive matrices ⋮ Majorizations and inequalities in matrix theory

Cites Work

• A reduction theorem for totally positive matrices
• Perturbation bounds for means of eigenvalues and invariant subspaces
• Inequalities: theory of majorization and its applications
• Unnamed Item

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