Elementary bidiagonal factorizations
type: Item
instance of: scholarly article
title: Elementary bidiagonal factorizations
zbMATH Open document ID: 0933.15022
DOI: 10.1016/S0024-3795(99)00037-3
author: Charles R. Johnson
author: D. D. Olesky
author: P. van den Driessche
published in: Linear Algebra and its Applications
publication date: 1999-11-29T00:00:00Z
review text: An elementary bidiagonal matrix is a square matrix such that every entry in the diagonal is \(1,\) exactly one entry either on the sub- or superdiagonal is nonzero, and all other entries are zero. The authors show that every \(n\times n\) matrix is a product of elementary bidiagonal matrices. For special cases, e.g., for \(2\times 2\) and \(3\times 3\) matrices they also determine the minimal number of factors needed in any elementary bidiagonal factorization.
Mathematics Subject Classification ID: 15A23
zbMATH DE Number: 1371374
zbMATH Keywords: elementary bidiagonal matrix
zbMATH Keywords: factorization
zbMATH Keywords: triangular matrix
zbMATH Keywords: product
reviewed by: Erich W. Ellers
MaRDI profile type: Publication
Wikidata QID: Q114122539
full work available at URL: s0024-3795(99)00037-3
OpenAlex ID: W2072216899
description: scientific article; zbMATH DE number 1371374