On inverse and generalized inverses of Hessenberg matrices
type: Item
instance of: scholarly article
title: On inverse and generalized inverses of Hessenberg matrices
zbMATH Open document ID: 0651.65030
DOI: 10.1016/0024-3795(88)90149-8
author: S. H. Smith
published in: Linear Algebra and its Applications
publication date: 1988-01-01T00:00:00Z
review text: New algorithms for computing inverses and generalized inverses of a class of real Hessenberg matrices are given. The simple structure of the inverses and the generalized inverses satisfying one, several or even all of the Penrose equations are established. The method of inverting a block triangular matrix and the proposed algorithms are used to compute the inverse or the generalized inverse of the Hessenberg matrix.
reviewed by: Radu Ursianu
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 4062473
zbMATH Keywords: algorithms
zbMATH Keywords: inverses
zbMATH Keywords: generalized inverses
zbMATH Keywords: real Hessenberg matrices
zbMATH Keywords: Penrose equations
zbMATH Keywords: block triangular matrix
MaRDI profile type: Publication
full work available at URL: 0024-3795(88)90149-8
OpenAlex ID: W1984008982
cites work: Q5674306
cites work: On inverses of Hessenberg matrices
cites work: Q4061081
cites work: A Class of Hessenberg Matrices with Known Pseudoinverse and Drazin Inverse
description: scientific article; zbMATH DE number 4062473