The symmetric nonnegative inverse eigenvalue problem for \(5 \times 5\) matrices

DOI10.1016/j.laa.2003.10.018zbMath1066.15007OpenAlexW2059557063MaRDI QIDQ703639

Raphael Loewy, Judith Joanne Mcdonald

Publication date: 11 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2003.10.018

zbMATH Keywords

symmetric nonnegative inverse eigenvalue problemextreme matrixextreme spectrumSoules set

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 (22)

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Cites Work

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• Eigenvalues of nonnegative symmetric matrices
• Extreme nonnegative matrices
• Eigenvalues of nonnegative matrices
• Orthogonal bases that leads to symmetric nonnegative matrices
• A characterization of trace zero nonnegative \(5\times 5\) matrices
• A note on the convexity of the realizable set of eigenvalues for nonnegative symmetric matrices
• Constructing symmetric nonnegative matrices
• The real and the symmetric nonnegative inverse eigenvalue problems are different
• Row Stochastic Matrices Similar to Doubly Stochastic Matrices
• A note on an inverse problem for nonnegative matrices

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