Execute elementary row and column operations on the partitioned matrix to compute M-P inverse \(A^!\)
type: Item
instance of: scholarly article
title: Execute elementary row and column operations on the partitioned matrix to compute M-P inverse \(A^!\)
zbMATH Open document ID: 1474.65095
DOI: 10.1155/2014/596049
author: Xingping Sheng
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We first study the complexity of the algorithm presented in [\textit{W. Guo} and \textit{T. Huang}, Appl. Math. Comput. 216, No. 5, 1614--1617 (2010; Zbl 1200.65027)]. After that, a new explicit formula for computational of the Moore-Penrose inverse \(A^!\) of a singular or rectangular matrix \(A\). This new approach is based on a modified Gauss-Jordan elimination process. The complexity of the new method is analyzed and presented and is found to be less computationally demanding than the one presented in [loc. cit.]. In the end, an illustrative example is demonstrated to explain the corresponding improvements of the algorithm.
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 7022680
Wikidata QID: Q59039761
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/596049
OpenAlex ID: W1998500568
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description: scientific article; zbMATH DE number 7022680