Attracting Periodic Cycles for an Optimal Fourth-Order Nonlinear Solver
We consider an optimal fourth-order method for solving nonlinear equations and construct polynomials such that the rational map arising from the method applied to these polynomials has an attracting periodic orbit of any prescribed period.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/263893 |
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| _version_ | 1849307533433372672 |
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| author | Mi Young Lee Changbum Chun |
| author_facet | Mi Young Lee Changbum Chun |
| author_sort | Mi Young Lee |
| collection | DOAJ |
| description | We consider an optimal fourth-order method for solving nonlinear
equations and construct polynomials such that the rational map arising from the method applied to these polynomials has an attracting periodic orbit of any prescribed period. |
| format | Article |
| id | doaj-art-2b3fd3b66bb44239a0eca190fb35540f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2b3fd3b66bb44239a0eca190fb35540f2025-08-20T03:54:43ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/263893263893Attracting Periodic Cycles for an Optimal Fourth-Order Nonlinear SolverMi Young Lee0Changbum Chun1Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of KoreaDepartment of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of KoreaWe consider an optimal fourth-order method for solving nonlinear equations and construct polynomials such that the rational map arising from the method applied to these polynomials has an attracting periodic orbit of any prescribed period.http://dx.doi.org/10.1155/2012/263893 |
| spellingShingle | Mi Young Lee Changbum Chun Attracting Periodic Cycles for an Optimal Fourth-Order Nonlinear Solver Abstract and Applied Analysis |
| title | Attracting Periodic Cycles for an Optimal Fourth-Order Nonlinear Solver |
| title_full | Attracting Periodic Cycles for an Optimal Fourth-Order Nonlinear Solver |
| title_fullStr | Attracting Periodic Cycles for an Optimal Fourth-Order Nonlinear Solver |
| title_full_unstemmed | Attracting Periodic Cycles for an Optimal Fourth-Order Nonlinear Solver |
| title_short | Attracting Periodic Cycles for an Optimal Fourth-Order Nonlinear Solver |
| title_sort | attracting periodic cycles for an optimal fourth order nonlinear solver |
| url | http://dx.doi.org/10.1155/2012/263893 |
| work_keys_str_mv | AT miyounglee attractingperiodiccyclesforanoptimalfourthordernonlinearsolver AT changbumchun attractingperiodiccyclesforanoptimalfourthordernonlinearsolver |