A note on computational algorithm for the inverse of a square matrix
type: Item
instance of: scholarly article
title: A note on computational algorithm for the inverse of a square matrix
zbMATH Open document ID: 1121.65027
published in: Applied Mathematics and Computation
publication date: 2007-06-12T00:00:00Z
review text: The author presents in this short note some improvements of an error estimate for an iterative algorithm which approximates the inverse of a square nonsingular matrix. Reviewer's remark: The algorithm considered in this note (and also in its reference [1]) was first proposed many years ago by \textit{G. Schulz} [Z. f. angew. Math. 13, 57--59 (1933; JFM 59.0535.04)] and then developed by \textit{A. Ben-Israel} in several papers for the more general case of the Moore-Penrose pseudoinverse of a matrix [see e.g., Math. Comput. 19, 452--455 (1965; Zbl 0136.12703)]. Thus, some comments on that together with the citation of the above mentioned paper should have been considered in the note.
reviewed by: Constantin Popa
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 5163774
zbMATH Keywords: matrix inversion
zbMATH Keywords: iterative method
zbMATH Keywords: numerical inverse
zbMATH Keywords: error estimate
author: Xinyuan Wu
MaRDI profile type: Publication
full work available at URL: j.amc.2006.09.063
OpenAlex ID: W2063537202
cites work: Computational algorithms for computing the inverse of a square matrix, quasi-inverse of a non-square matrix and block matrices
DOI: 10.1016/J.AMC.2006.09.063
description: scientific article; zbMATH DE number 5163774