On the LU decomposition of V-matrices
type: Item
instance of: scholarly article
title: On the LU decomposition of V-matrices
zbMATH Open document ID: 0554.65014
DOI: 10.1016/0024-3795(84)90029-6
published in: Linear Algebra and its Applications
publication date: 1984-01-01T00:00:00Z
review text: Als Erweiterung einer Reihe von Resultaten über die Faktorisierung von M-Matrizen wird gezeigt, daß die vom Autor eingeführte Klasse der V-Matrizen, die M-Matrizen und hermitesche, positiv semidefinite Matrizen enthält, invariant ist gegenüber Gauß-Elimination.
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 15A23
zbMATH DE Number: 3883494
zbMATH Keywords: V-matrices
zbMATH Keywords: M-matrices
zbMATH Keywords: Hermitian positive semidefinite matrices
zbMATH Keywords: Gaussian elimination
zbMATH Keywords: LU decomposition
author: Volker Mehrmann
MaRDI profile type: Publication
full work available at URL: 0024-3795(84)90029-6
OpenAlex ID: W1975578917
cites work: The Hadamard-Fischer inequality for a class of matrices defined by eigenvalue monotonicity
cites work: NOTE ON M-MATRICES
cites work: Q5340130
cites work: LU decomposition of M-matrices by elimination without pivoting
cites work: A note on factorizations of singular M-matrices
cites work: Q4745955
cites work: A rank characterization of the number of final classes of a nonnegative matrix
cites work: Q4057472
cites work: Q5342712
cites work: On the $LU$ Factorization of M-Matrices: Cardinality of the Set $\mathcal{P}_n^g ( A )$
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description: scientific article; zbMATH DE number 3883494