Polynomial and Rational Approximations and the Link between Schröder’s Processes of the First and Second Kind
We show that Schröder’s processes of the first kind and of the second kind to obtain a simple root of a nonlinear equation are related by polynomial and rational approximations.
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/719846 |
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| _version_ | 1832557036339986432 |
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| author | François Dubeau |
| author_facet | François Dubeau |
| author_sort | François Dubeau |
| collection | DOAJ |
| description | We show that Schröder’s processes of the first kind and of the second kind to obtain a simple root of a nonlinear equation are related by polynomial and rational approximations. |
| format | Article |
| id | doaj-art-86c8e14618494bb5a563c3a291a5a2ca |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-86c8e14618494bb5a563c3a291a5a2ca2025-02-03T05:43:45ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/719846719846Polynomial and Rational Approximations and the Link between Schröder’s Processes of the First and Second KindFrançois Dubeau0Département de Mathématiques, Faculté des Sciences, Université de Sherbrooke, 2500 boulevard de l’Université, Sherbrooke, QC, J1K 2R1, CanadaWe show that Schröder’s processes of the first kind and of the second kind to obtain a simple root of a nonlinear equation are related by polynomial and rational approximations.http://dx.doi.org/10.1155/2014/719846 |
| spellingShingle | François Dubeau Polynomial and Rational Approximations and the Link between Schröder’s Processes of the First and Second Kind Abstract and Applied Analysis |
| title | Polynomial and Rational Approximations and the Link between Schröder’s Processes of the First and Second Kind |
| title_full | Polynomial and Rational Approximations and the Link between Schröder’s Processes of the First and Second Kind |
| title_fullStr | Polynomial and Rational Approximations and the Link between Schröder’s Processes of the First and Second Kind |
| title_full_unstemmed | Polynomial and Rational Approximations and the Link between Schröder’s Processes of the First and Second Kind |
| title_short | Polynomial and Rational Approximations and the Link between Schröder’s Processes of the First and Second Kind |
| title_sort | polynomial and rational approximations and the link between schroder s processes of the first and second kind |
| url | http://dx.doi.org/10.1155/2014/719846 |
| work_keys_str_mv | AT francoisdubeau polynomialandrationalapproximationsandthelinkbetweenschrodersprocessesofthefirstandsecondkind |