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Inverse \(N_ 0\)-matrices

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Publication:802000
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DOI10.1016/0024-3795(85)90278-2zbMath0553.15007OpenAlexW2061972153MaRDI QIDQ802000

Gregery A. Johnson

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90278-2


zbMATH Keywords

Schur complementLU-decompositioninverse M- matricesinverse N-zero-matricestotally nonpositive


Mathematics Subject Classification ID

Factorization of matrices (15A23) Positive matrices and their generalizations; cones of matrices (15B48)


Related Items (7)

On classes of inverse \(Z\)-matrices ⋮ \(Z\)-matrices and inverse \(Z\)-matrices ⋮ Some notes on Z-matrices ⋮ Notes on \(F_ 0\)-matrices ⋮ Algorithmic detection and construction of N-matrices ⋮ On Perron complements of inverse \(N_{0}\)-matrices ⋮ Schur complements and its applications to symmetric nonnegative and \(Z\)-matrices



Cites Work

  • Unnamed Item
  • Classes of products of M-matrices and inverse M-matrices
  • Tridiagonal and upper triangular inverse M-matrices
  • Inverse M-matrices
  • A generalization of N-matrices
  • Some matrix inequalities
  • Nonnegative Matrices whose Inverses are M-Matrices
  • Generalized Inverse Formulas Using the Schur Complement
  • An Identity for the Schur Complement of a Matrix


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