Newton-Kantorovich and Smale Uniform Type Convergence Theorem for a Deformed Newton Method in Banach Spaces
Newton-Kantorovich and Smale uniform type of convergence theorem of a deformed Newton method having the third-order convergence is established in a Banach space for solving nonlinear equations. The error estimate is determined to demonstrate the efficiency of our approach. The obtained results are i...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/923898 |
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| _version_ | 1849307258533445632 |
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| author | Rongfei Lin Yueqing Zhao Zdeněk Šmarda Yasir Khan Qingbiao Wu |
| author_facet | Rongfei Lin Yueqing Zhao Zdeněk Šmarda Yasir Khan Qingbiao Wu |
| author_sort | Rongfei Lin |
| collection | DOAJ |
| description | Newton-Kantorovich and Smale uniform type of convergence theorem of a deformed Newton method having the third-order convergence is established in a Banach space for solving nonlinear equations. The error estimate is determined to demonstrate the efficiency of our approach. The obtained results are illustrated with three examples. |
| format | Article |
| id | doaj-art-272a77ccad054e7f83cfe3b57cc2e2ec |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-272a77ccad054e7f83cfe3b57cc2e2ec2025-08-20T03:54:48ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/923898923898Newton-Kantorovich and Smale Uniform Type Convergence Theorem for a Deformed Newton Method in Banach SpacesRongfei Lin0Yueqing Zhao1Zdeněk Šmarda2Yasir Khan3Qingbiao Wu4Department of Mathematics, Taizhou University, Linhai, Zhejiang 317000, ChinaDepartment of Mathematics, Taizhou University, Linhai, Zhejiang 317000, ChinaDepartment of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technicka 8, 616 00 Brno, Czech RepublicDepartment of Mathematics, Zhejiang University, Hangzhou, Zhejiang 310027, ChinaDepartment of Mathematics, Zhejiang University, Hangzhou, Zhejiang 310027, ChinaNewton-Kantorovich and Smale uniform type of convergence theorem of a deformed Newton method having the third-order convergence is established in a Banach space for solving nonlinear equations. The error estimate is determined to demonstrate the efficiency of our approach. The obtained results are illustrated with three examples.http://dx.doi.org/10.1155/2013/923898 |
| spellingShingle | Rongfei Lin Yueqing Zhao Zdeněk Šmarda Yasir Khan Qingbiao Wu Newton-Kantorovich and Smale Uniform Type Convergence Theorem for a Deformed Newton Method in Banach Spaces Abstract and Applied Analysis |
| title | Newton-Kantorovich and Smale Uniform Type Convergence Theorem for a Deformed Newton Method in Banach Spaces |
| title_full | Newton-Kantorovich and Smale Uniform Type Convergence Theorem for a Deformed Newton Method in Banach Spaces |
| title_fullStr | Newton-Kantorovich and Smale Uniform Type Convergence Theorem for a Deformed Newton Method in Banach Spaces |
| title_full_unstemmed | Newton-Kantorovich and Smale Uniform Type Convergence Theorem for a Deformed Newton Method in Banach Spaces |
| title_short | Newton-Kantorovich and Smale Uniform Type Convergence Theorem for a Deformed Newton Method in Banach Spaces |
| title_sort | newton kantorovich and smale uniform type convergence theorem for a deformed newton method in banach spaces |
| url | http://dx.doi.org/10.1155/2013/923898 |
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