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On the Semi-Local Convergence of a Fifth-Order Convergent Method for Solving Equations
| Content Provider | MDPI |
|---|---|
| Author | Argyros, Christopher I. Argyros, Ioannis K. Shakhno, Stepan Yarmola, Halyna |
| Copyright Year | 2022 |
| Description | We study the semi-local convergence of a three-step Newton-type method for solving nonlinear equations under the classical Lipschitz conditions for first-order derivatives. To develop a convergence analysis, we use the approach of restricted convergence regions in combination with majorizing scalar sequences and our technique of recurrent functions. Finally, a numerical example is given. |
| Ending Page | 150 |
| Page Count | 11 |
| Starting Page | 140 |
| e-ISSN | 26739321 |
| DOI | 10.3390/foundations2010008 |
| Journal | Foundations |
| Issue Number | 1 |
| Volume Number | 2 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2022-01-20 |
| Access Restriction | Open |
| Subject Keyword | Foundations Mathematical Social Sciences Nonlinear Equation Banach Space Semi-local Convergence Three-step Method |
| Content Type | Text |
| Resource Type | Article |