Two classes of symmetric sign patterns that require unique inertia.

DOI10.1007/s11766-003-0031-4zbMath1035.15012OpenAlexW1983512465MaRDI QIDQ1413711

Yanling Shao

Publication date: 17 November 2003

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-003-0031-4

zbMATH Keywords

eigenvaluesinertiasymmetric matrixundirected graphsign patterndouble star sign patterncycle sign patternunique inertia

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (2)

Inertia sets of symmetric 2-generalized star sign patterns ⋮ Allow problems concerning spectral properties of sign pattern matrices: a survey

Cites Work

• Unnamed Item
• Spectrally arbitrary patterns
• Inertially arbitrary patterns
• Matrix Analysis
• Sign patterns that require real, nonreal or pure imaginary eigenvalues
• Symmetric sign pattern matrices that require unique inertia

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