A characterization of trace zero symmetric nonnegative \(5\times 5\) matrices

DOI10.1016/J.LAA.2010.10.006zbMath1209.15037arXiv0903.5519OpenAlexW1988665180MaRDI QIDQ624363

Oren Spector

Publication date: 9 February 2011

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

Full work available at URL: https://arxiv.org/abs/0903.5519

zbMATH Keywords

SNIEP

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) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (16)

Ruling out certain 5-spectra for the symmetric nonnegative inverse eigenvalue problem ⋮ Unnamed Item ⋮ A characterization of trace zero bisymmetric nonnegative \(5\times 5\) matrices ⋮ A note on the real nonnegative inverse eigenvalue problem ⋮ On universal realizability of spectra ⋮ Unnamed Item ⋮ Ruling out certain 5-spectra with one repeated eigenvalue for the symmetric NIEP ⋮ On spectra realizable and diagonalizably realizable ⋮ A characterization of trace-zero sets realizable by compensation in the SNIEP ⋮ Universal realizability in low dimension ⋮ A necessary condition for the spectrum of nonnegative symmetric \(5\times 5\) matrices ⋮ 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 ⋮ Symmetric nonnegative realizability via partitioned majorization ⋮ Spectra inhabiting the left half-plane that are universally realizable

Cites Work

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• The symmetric nonnegative inverse eigenvalue problem for \(5 \times 5\) matrices
• Eigenvalues of nonnegative symmetric matrices
• A characterization of trace zero nonnegative \(5\times 5\) matrices
• An inequality for nonnegative matrices and the 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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