Accurate and efficient \(LDU\) decomposition of almost diagonally dominant \(Z\)-matrices
type: Item
instance of: scholarly article
title: Accurate and efficient \(LDU\) decomposition of almost diagonally dominant \(Z\)-matrices
zbMATH Open document ID: 1298.65045
author: Álvaro Barreras
author: J. M. Peña
published in: BIT
publication date: 2014-08-15T00:00:00Z
review text: The authors propose an efficient and highly accurate method to compute the \(LDU\) decomposition of a class of nonsingular \(Z\)-matrices. This decomposition is rank revealing and, in some cases outperforms the Gaussian elimination with complete pivoting.
reviewed by: Constantin Popa
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 15A23
zbMATH DE Number: 6330850
zbMATH Keywords: \(LDU\) decomposition
zbMATH Keywords: rank revealing decomposition
zbMATH Keywords: accuracy
zbMATH Keywords: \(Z\)-matrices
zbMATH Keywords: almost diagonal dominance
zbMATH Keywords: Gaussian elimination
MaRDI profile type: Publication
full work available at URL: s10543-013-0461-1
OpenAlex ID: W2081643768
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cites work: LDU decompositions with \(L\) and \(U\) well conditioned
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DOI: 10.1007/S10543-013-0461-1
description: scientific article; zbMATH DE number 6330850