On the inverse's computation of a real, upper Hessenberg matrix
type: Item
instance of: scholarly article
title: On the inverse's computation of a real, upper Hessenberg matrix
zbMATH Open document ID: 0806.65019
DOI: 10.1016/0965-9978(93)90008-H
author: Mongi Benhamadou
published in: Advances in Engineering Software
publication date: 1994-06-01T00:00:00Z
review text: The computation of the inverse of an upper Hessenberg matrix, which is regular and irreducible, is investigated. Two methods, the QR factorization and a generalization of \textit{Y. Ikebe's} method [Linear Algebra Appl. 24, 93-97 (1979; Zbl 0397.15005)], are proposed. The methods are described in detail including the comparison of the costs of calculations. Two numerical tests show advantages for the generalized Ikebe method.
Mathematics Subject Classification ID: 65F05
zbMATH DE Number: 580044
zbMATH Keywords: inverse of an upper Hessenberg matrix
zbMATH Keywords: QR factorization
zbMATH Keywords: numerical tests
reviewed by: René Lamour
MaRDI profile type: Publication
full work available at URL: 0965-9978(93)90008-h
OpenAlex ID: W2030276534
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description: scientific article; zbMATH DE number 580044