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Determinantal formulae for matrices with sparse inverses. II: Asymmetric zero patterns

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Publication:1078281
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DOI10.1016/0024-3795(86)90258-2zbMath0596.15007OpenAlexW2090302726MaRDI QIDQ1078281

Charles R. Johnson, Wayne W. Barrett

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0024-3795(86)90258-2


zbMATH Keywords

determinantprincipal minorsdirected spanning treeasymmetric-zero-pattern


Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15)


Related Items (4)

Invertible completions of partial operator matrices: The nonsymmetric case ⋮ Combinatorial matrix analysis: An overview ⋮ Determinantal formulae and nonsymmetric gaussian perfect elimination ⋮ Determinantal formulae for matrix completions associated with chordal graphs



Cites Work

  • Determinantal formulae for matrices with sparse inverses
  • Spanning-tree extensions of the Hadamard-Fischer inequalities
  • Inverses of banded matrices


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