A unified view on compensation criteria in the real nonnegative inverse eigenvalue problem

DOI10.1016/j.laa.2007.11.031zbMath1145.15006OpenAlexW2036319628MaRDI QIDQ924330

Ricardo L. Soto, Alberto Borobia, Julio Moro

Publication date: 15 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.11.031

zbMATH Keywords

inverse problemeigenvaluesnonnegative matricesnonnegative inverse eigenvalue problemnegativity compensation

Mathematics Subject Classification ID

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

Related Items (14)

Connecting sufficient conditions for the symmetric nonnegative inverse eigenvalue problem ⋮ On sufficient conditions for the RNIEP and their margins of realizability ⋮ On the universal realizability problem ⋮ On universal realizability of spectra ⋮ Copositivity and complete positivity. Abstracts from the workshop held October 29 -- Novermber 4, 2017 ⋮ A characterization of trace-zero sets realizable by compensation in the SNIEP ⋮ A family of realizability criteria for the real and symmetric nonnegative inverse eigenvalue problem ⋮ The real nonnegative inverse eigenvalue problem is NP-hard ⋮ A map of sufficient conditions for the symmetric nonnegative inverse eigenvalue problem ⋮ Updating a map of sufficient conditions for the real nonnegative inverse eigenvalue problem ⋮ The NIEP ⋮ Guo perturbation for symmetric nonnegative circulant matrices ⋮ Spectra inhabiting the left half-plane that are universally realizable ⋮ On new universal realizability criteria

Cites Work

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• Negativity compensation in the nonnegative inverse eigenvalue problem
• Eigenvalues of nonnegative matrices
• Existence and construction of nonnegative matrices with prescribed spectrum
• The nonnegative inverse eigenvalue problem.
• On the nonnegative eigenvalue problem
• Applications of a Brauer theorem in the nonnegative inverse eigenvalue problem
• Matrices similar to a positive or essentially positive matrix
• An inequality for nonnegative matrices and the inverse eigenvalue problem
• Inequalities: theory of majorization and its applications

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