A necessary condition for the spectrum of nonnegative symmetric \(5\times 5\) matrices

DOI10.1016/j.laa.2016.08.006zbMath1398.15039arXiv1602.05051OpenAlexW2962914934MaRDI QIDQ1789398

Raphael Loewy, Oren Spector

Publication date: 10 October 2018

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

Full work available at URL: https://arxiv.org/abs/1602.05051

zbMATH Keywords

inverse eigenvalue problemextreme matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (8)

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 ⋮ On the similarity to nonnegative and Metzler Hessenberg forms ⋮ 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
• 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
• Extreme nonnegative matrices
• The nonnegative inverse eigenvalue problem.
• The real and the symmetric nonnegative inverse eigenvalue problems are different
• A note on an inverse problem for nonnegative matrices

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