Minimum number of distinct eigenvalues allowed by a sign pattern

DOI10.1016/j.laa.2022.09.002zbMath1503.15046OpenAlexW4294958041WikidataQ114151190 ScholiaQ114151190MaRDI QIDQ2080259

Yanyan Li

Publication date: 7 October 2022

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

Full work available at URL: https://doi.org/10.1016/j.laa.2022.09.002

zbMATH Keywords

eigenvaluedigraphinverse eigenvalue problemsign pattern

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Sign pattern matrices (15B35)

Related Items (2)

\(4 \times 4\) irreducible sign pattern matrices that require four distinct eigenvalues ⋮ The allow sequence of distinct eigenvalues for a sign pattern

Cites Work

• Unnamed Item
• Sign patterns that require repeated eigenvalues
• Allow problems concerning spectral properties of sign pattern matrices: a survey
• Potentially nilpotent sign pattern matrices
• Spectrally arbitrary patterns
• Allow problems concerning spectral properties of patterns
• Minimal Spectrally Arbitrary Sign Patterns
• Techniques for identifying inertially arbitrary patterns
• Minimum number of distinct eigenvalues of graphs
• Group inverse extensions of certain $M$-matrix properties
• Inequalities

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