Ruling out certain 5-spectra for the symmetric nonnegative inverse eigenvalue problem

DOI10.1016/j.laa.2016.09.022zbMath1353.15008OpenAlexW2519351367MaRDI QIDQ332640

Charles R. Johnson, Carlos Marijuán, Miriam Pisonero

Publication date: 8 November 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.09.022

zbMATH Keywords

interlacing inequalitiessymmetric nonnegative inverse eigenvalue problemsymmetric realizability

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29)

Related Items

Unnamed Item ⋮ A characterization of trace zero bisymmetric nonnegative \(5\times 5\) matrices ⋮ A note for the SNIEP in size 5 ⋮ Ruling out certain 5-spectra with one repeated eigenvalue for the symmetric NIEP ⋮ The role of certain Brauer and Rado results in the nonnegative inverse spectral problems ⋮ On spectra of weighted graphs of order \(\leq 5\) ⋮ The NIEP ⋮ Some notes on the spectra of nonnegative symmetric 5 × 5 matrices

Cites Work

• Unnamed Item
• Unnamed Item
• A characterization of trace zero symmetric nonnegative \(5\times 5\) matrices
• The symmetric nonnegative inverse eigenvalue problem for \(5 \times 5\) matrices
• Eigenvalues of nonnegative symmetric matrices
• The nonnegative inverse eigenvalue problem.
• Applications of a Brauer theorem in the nonnegative inverse eigenvalue problem
• An inverse eigenvalue problem for symmetric and normal matrices
• Symmetric nonnegative realization of spectra
• Row Stochastic Matrices Similar to Doubly Stochastic Matrices
• A note on an inverse problem for nonnegative matrices
• Symmetric nonnegative realizability via partitioned majorization