The relation between the diagonal entries and the eigenvalues of a symmetric matrix, based upon the sign pattern of its off-diagonal entries

DOI10.1016/j.laa.2012.09.014zbMath1264.15046OpenAlexW2068279164MaRDI QIDQ1931752

Miriam Farber, Lee Kennedy-Shaffer, Charles R. Johnson, Zachary B. Charles

Publication date: 16 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.09.014

zbMATH Keywords

eigenvaluessymmetric matricesSchur-Horn theoremdiagonal entriessign-pattern

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Sign pattern matrices (15B35)

Related Items

Determinant and eigenvalue inequalities involving nonnegative matrices, Eigenvalues and diagonal elements

Cites Work

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• The number of equivalence classes of symmetric sign patterns
• Eigenvalues of nonnegative symmetric matrices
• A lower bound for the second largest Laplacian eigenvalue of weighted graphs
• Symmetric nonnegative realization of spectra
• Matrix Analysis