Inertias of zero–nonzero patterns

DOI10.1080/03081080600788234zbMath1113.15011OpenAlexW2007540911MaRDI QIDQ3427133

In-Jae Kim, D. Dale Olesky, Pauline van den Driessche, Judith Joanne Mcdonald

Publication date: 14 March 2007

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

Full work available at URL: https://doi.org/10.1080/03081080600788234

zbMATH Keywords

spectruminertiasign patternzero-nonzero 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)

Related Items (7)

Zero-nonzero tree patterns that allow Sn∗ ⋮ On reducible matrix patterns ⋮ Sparse inertially arbitrary patterns ⋮ Critical sets of inertias for matrix patterns ⋮ Allow problems concerning spectral properties of sign pattern matrices: a survey ⋮ Unnamed Item ⋮ Complex spectrally arbitrary zero–nonzero patterns

Cites Work

• Inertially arbitrary sign patterns with no nilpotent realization
• Spectrally and inertially arbitrary sign patterns
• Spectrally arbitrary star sign patterns
• Inertially arbitrary (\(2r-1\))-diagonal sign patterns
• Spectrally arbitrary patterns
• Inertially arbitrary patterns
• Spectrally arbitrary zero–nonzero patterns of order 4
• Minimal Spectrally Arbitrary Sign Patterns
• On determining minimal spectrally arbitrary patterns

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