Some matrix iterations for computing generalized inverses and balancing chemical equations
type: Item
instance of: scholarly article
title: Some matrix iterations for computing generalized inverses and balancing chemical equations
zbMATH Open document ID: 1461.65059
author: Farahnaz Soleimani
author: Predrag S. Stanimirović
author: Fazlollah Soleymani
published in: Algorithms
publication date: 2019-03-26T00:00:00Z
review text: Summary: An application of iterative methods for computing the Moore-Penrose inverse in balancing chemical equations is considered. With the aim to illustrate proposed algorithms, an improved high order hyper-power matrix iterative method for computing generalized inverses is introduced and applied. The improvements of the hyper-power iterative scheme are based on its proper factorization, as well as on the possibility to accelerate the iterations in the initial phase of the convergence. Although the effectiveness of our approach is confirmed on the basis of the theoretical point of view, some numerical comparisons in balancing chemical equations, as well as on randomly-generated matrices are furnished.
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 7042296
zbMATH Keywords: generalized inverses
zbMATH Keywords: balancing chemical equations
zbMATH Keywords: hyper-power method
zbMATH Keywords: order of convergence
zbMATH Keywords: matrix inverse
describes a project that uses: Mathematica
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3390/a8040982
OpenAlex ID: W1947524858
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DOI: 10.3390/A8040982
description: scientific article; zbMATH DE number 7042296