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On the LU decomposition of V-matrices

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Publication:760154
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DOI10.1016/0024-3795(84)90029-6zbMath0554.65014OpenAlexW1975578917MaRDI QIDQ760154

Volker Mehrmann

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0024-3795(84)90029-6


zbMATH Keywords

Gaussian eliminationM-matricesLU decompositionHermitian positive semidefinite matricesV-matrices


Mathematics Subject Classification ID

Factorization of matrices (15A23) Direct numerical methods for linear systems and matrix inversion (65F05)


Related Items (1)

Eigenvalue interlacing for certain classes of matrices with real principal minors



Cites Work

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  • LU decomposition of M-matrices by elimination without pivoting
  • A note on factorizations of singular M-matrices
  • A rank characterization of the number of final classes of a nonnegative matrix
  • NOTE ON M-MATRICES
  • The Hadamard-Fischer inequality for a class of matrices defined by eigenvalue monotonicity
  • On the $LU$ Factorization of M-Matrices: Cardinality of the Set $\mathcal{P}_n^g ( A )$


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