Null vectors, Schur complements, and Parter vertices

DOI10.2140/involve.2022.15.843OpenAlexW4323065617MaRDI QIDQ2692984

Johnna Parenteau, Shaun M. Fallat

Publication date: 17 March 2023

Published in: Involve (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/involve.2022.15.843

zbMATH Keywords

multiplicityeigenvaluesSchur complementsnullspaceParter vertices

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29)

Cites Work

• Unnamed Item
• Spectral multiplicity and splitting results for a class of qualitative matrices
• On Fiedler- and Parter-vertices of acyclic matrices
• Null space structure of tree-patterned matrices
• Matrix Analysis
• Eigenvectors of acyclic matrices
• The Parter--Wiener Theorem: Refinement and Generalization
• Eigenvalues, Multiplicities and Graphs
• On the Eigenvalues and Eigenvectors of a Class of Matrices

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