A High-Order Iterate Method for Computing AT,S(2)
We investigate a new higher order iterative method for computing the generalized inverse AT,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 sc...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/741368 |
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| _version_ | 1832549420459098112 |
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| author | Xiaoji Liu Zemeng Zuo |
| author_facet | Xiaoji Liu Zemeng Zuo |
| author_sort | Xiaoji Liu |
| collection | DOAJ |
| description | We investigate a new higher order iterative method for computing the generalized inverse AT,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. |
| format | Article |
| id | doaj-art-081526454c394eb98a04cced7a6aec36 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-081526454c394eb98a04cced7a6aec362025-02-03T06:11:15ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/741368741368A High-Order Iterate Method for Computing AT,S(2)Xiaoji Liu0Zemeng Zuo1Faculty of Science, Guangxi University for Nationalities, Nanning 530006, ChinaFaculty of Science, Guangxi University for Nationalities, Nanning 530006, ChinaWe investigate a new higher order iterative method for computing the generalized inverse AT,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.http://dx.doi.org/10.1155/2014/741368 |
| spellingShingle | Xiaoji Liu Zemeng Zuo A High-Order Iterate Method for Computing AT,S(2) Journal of Applied Mathematics |
| title | A High-Order Iterate Method for Computing AT,S(2) |
| title_full | A High-Order Iterate Method for Computing AT,S(2) |
| title_fullStr | A High-Order Iterate Method for Computing AT,S(2) |
| title_full_unstemmed | A High-Order Iterate Method for Computing AT,S(2) |
| title_short | A High-Order Iterate Method for Computing AT,S(2) |
| title_sort | high order iterate method for computing at s 2 |
| url | http://dx.doi.org/10.1155/2014/741368 |
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