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Null space structure of tree-patterned matrices

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Publication:1307564
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DOI10.1016/S0024-3795(98)00009-3zbMath0932.05056OpenAlexW2072529962MaRDI QIDQ1307564

Peter M. Nylen

Publication date: 31 October 1999

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(98)00009-3


zbMATH Keywords

zero-nonzero patternnull space structuresingular real symmetric matrices


Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)


Related Items (6)

Null decomposition of trees ⋮ Null decomposition of unicyclic graphs ⋮ Sparks of symmetric matrices and their graphs ⋮ Null vectors, Schur complements, and Parter vertices ⋮ Tree decomposition by eigenvectors ⋮ Trees and acyclic matrices over arbitrary fields



Cites Work

  • Unnamed Item
  • Spectral multiplicity and splitting results for a class of qualitative matrices
  • Minimum-rank matrices with prescribed graph
  • Eigenvectors of acyclic matrices
  • On the Eigenvalues and Eigenvectors of a Class of Matrices


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