Convergence Theorem for a Family of New Modified Halley’s Method in Banach Space
We establish convergence theorems of Newton-Kantorovich type for a family of new modified Halley’s method in Banach space to solve nonlinear operator equations. We present the corresponding error estimate. To show the application of our theorems, two numerical examples are given.
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/468694 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552934143950848 |
|---|---|
| author | Rongfei Lin Yueqing Zhao Qingbiao Wu Jueliang Hu |
| author_facet | Rongfei Lin Yueqing Zhao Qingbiao Wu Jueliang Hu |
| author_sort | Rongfei Lin |
| collection | DOAJ |
| description | We establish convergence theorems of Newton-Kantorovich type for a family of new modified Halley’s method in Banach space to solve nonlinear operator equations. We present the corresponding error estimate. To show the application of our theorems, two numerical examples are given. |
| format | Article |
| id | doaj-art-a540f6c6690e4290b41c5e99f6156ab7 |
| 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-a540f6c6690e4290b41c5e99f6156ab72025-02-03T05:57:32ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/468694468694Convergence Theorem for a Family of New Modified Halley’s Method in Banach SpaceRongfei Lin0Yueqing Zhao1Qingbiao Wu2Jueliang Hu3Department of Mathematics, Taizhou University, Linhai, Zhejiang 317000, ChinaDepartment of Mathematics, Taizhou University, Linhai, Zhejiang 317000, ChinaDepartment of Mathematics, Zhejiang University, Hangzhou, Zhejiang 310027, ChinaDepartment of Mathematics, Zhejiang Sci-Tech University, Hangzhou, Zhejiang 310018, ChinaWe establish convergence theorems of Newton-Kantorovich type for a family of new modified Halley’s method in Banach space to solve nonlinear operator equations. We present the corresponding error estimate. To show the application of our theorems, two numerical examples are given.http://dx.doi.org/10.1155/2014/468694 |
| spellingShingle | Rongfei Lin Yueqing Zhao Qingbiao Wu Jueliang Hu Convergence Theorem for a Family of New Modified Halley’s Method in Banach Space Journal of Applied Mathematics |
| title | Convergence Theorem for a Family of New Modified Halley’s Method in Banach Space |
| title_full | Convergence Theorem for a Family of New Modified Halley’s Method in Banach Space |
| title_fullStr | Convergence Theorem for a Family of New Modified Halley’s Method in Banach Space |
| title_full_unstemmed | Convergence Theorem for a Family of New Modified Halley’s Method in Banach Space |
| title_short | Convergence Theorem for a Family of New Modified Halley’s Method in Banach Space |
| title_sort | convergence theorem for a family of new modified halley s method in banach space |
| url | http://dx.doi.org/10.1155/2014/468694 |
| work_keys_str_mv | AT rongfeilin convergencetheoremforafamilyofnewmodifiedhalleysmethodinbanachspace AT yueqingzhao convergencetheoremforafamilyofnewmodifiedhalleysmethodinbanachspace AT qingbiaowu convergencetheoremforafamilyofnewmodifiedhalleysmethodinbanachspace AT juelianghu convergencetheoremforafamilyofnewmodifiedhalleysmethodinbanachspace |