High-order Iterate Method For Computing A_T,S²

Posted on:2016-03-22

Degree:Master

Type:Thesis

Country:China

Candidate:Z M Zuo

Full Text:PDF

GTID:2180330461966070

Subject:Applied Mathematics

Abstract/Summary:

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In this paper, we introduce a new higher order iterative methods for computing the generalized inverse A_T,S²for a given matrix ??, and present the error bounds. We also investigate the stability and superiority of the new iterative method for approximatingA_T,S². Meanwhile, We discussed how the new method could be applied for finding approximate inverses of nonsingular square matrices and some special matrices.

Keywords/Search Tags:

Higher-order convergence, Initial value, Generalized inverse ??(2)??, Error bound, Efficiency index

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High-order Iterate Method For Computing AT,S2

High-order Iterate Method For Computing A_T,S²