A High-Order Iterate Method for Computing AT, S(2). (4th May 2014)

• Record Type: Journal Article
• Authors: Liu, Xiaoji; Zuo, Zemeng
• Other Names: Torregrosa Juan R. Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-05-04
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/741368
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : We investigate a new higher order iterative method for computing the generalized inverse A T, S ( 2 ) for a given matrix A . 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.