A High-Order Iterate Method for ComputingAT,S(2)-Reference-Cited by-同舟云学术

A High-Order Iterate Method for ComputingAT,S(2)

Published:2014 Issue: Volume:2014 Page:1-7
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Liu Xiaoji¹,Zuo Zemeng¹

Affiliation:

1. Faculty of Science, Guangxi University for Nationalities, Nanning 530006, China

Abstract

We investigate a new higher order iterative method for computing the generalized inverseAT,S(2)for a given matrixA. We also discuss how the new method could be applied for finding approximate inverses of nonsingular square matrices. Analysis of convergence is included to show that the proposed scheme has at least fifteenth-order convergence. Some tests are also presented to show the superiority of the new method.

Funder

Key Project of Education Department of Guangxi

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2014/741368.pdf

Reference21 articles.

1. The {2}-inverse with applications in statistics

2. Iterative methods for computing the generalized inverses AT, S(2) of a matrix A

3. Representation and approximation of the outer inverse AT,S(2) of a matrix A

4. The representation and computation of generalized inverse AT,S(2)

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