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Semilocal convergence theorem for the inverse-free Jarratt method under new Hölder conditions.
Zhao, Yueqing; Lin, Rongfei; Smarda, Zdenek; Khan, Yasir; Chen, Jinbiao; Wu, Qingbiao.
Affiliation
  • Zhao Y; Department of Mathematics, Taizhou University, Linhai, Zhejiang 317000, China.
  • Lin R; Department of Mathematics, Taizhou University, Linhai, Zhejiang 317000, China.
  • Smarda Z; Department of Mathematics, Brno University of Technology, 616 00 Brno, Czech Republic.
  • Khan Y; Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang 310027, China.
  • Chen J; Department of Mathematics, Taizhou University, Linhai, Zhejiang 317000, China.
  • Wu Q; Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang 310027, China.
ScientificWorldJournal ; 2015: 346571, 2015.
Article in En | MEDLINE | ID: mdl-25884027
Under the new Hölder conditions, we consider the convergence analysis of the inverse-free Jarratt method in Banach space which is used to solve the nonlinear operator equation. We establish a new semilocal convergence theorem for the inverse-free Jarratt method and present an error estimate. Finally, three examples are provided to show the application of the theorem.
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Full text: 1 Database: MEDLINE Language: En Journal: ScientificWorldJournal Journal subject: MEDICINA Year: 2015 Type: Article Affiliation country: China
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Full text: 1 Database: MEDLINE Language: En Journal: ScientificWorldJournal Journal subject: MEDICINA Year: 2015 Type: Article Affiliation country: China