A new iterative method for finding approximate inverses of complex matrices
type: Item
instance of: scholarly article
title: A new iterative method for finding approximate inverses of complex matrices
zbMATH Open document ID: 1474.65077
DOI: 10.1155/2014/563787
author: S. Shateyi
author: Mostafa Kafaei Razavi
author: A. Kerayechian
author: M. Gachpazan
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper presents a new iterative method for computing the approximate inverse of nonsingular matrices. The analytical discussion of the method is included to demonstrate its convergence behavior. As a matter of fact, it is proven that the suggested scheme possesses tenth order of convergence. Finally, its performance is illustrated by numerical examples on different matrices.
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 65F08
zbMATH DE Number: 7022616
describes a project that uses: Mathematica
MaRDI profile type: Publication
Wikidata QID: Q59039461
full work available at URL: https://doi.org/10.1155/2014/563787
OpenAlex ID: W2126326770
cites work: Parallel iterative methods for sparse linear systems
cites work: On the extension of Householder's method for weighted Moore-Penrose inverse
cites work: Generalized inverses. Theory and applications.
cites work: Preconditioning techniques for large linear systems: A survey
cites work: Chebyshev-type methods and preconditioning techniques
cites work: Iterative inversion of structured matrices
cites work: A family of iterative methods for computing the approximate inverse of a square matrix and inner inverse of a non-square matrix
cites work: An iterative method for computing the approximate inverse of a square matrix and the Moore-Penrose inverse of a non-square matrix
cites work: An Improved Newton Iteration for the Generalized Inverse of a Matrix, with Applications
cites work: Q5553606
cites work: A family of iterative methods for computing Moore-Penrose inverse of a matrix
cites work: A fast convergent iterative solver for approximate inverse of matrices
cites work: Q5732060
cites work: Q4814497
description: scientific article; zbMATH DE number 7022616