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Homotopy iterative methods for polynomial equations
Globally convergent iterative methods for polynomial equations f(z)=0 are obtained. They are derived to modifying iterative functions such as Newton, Steffensen, etc., so as to avoid the critical points and ensure the convergence. The modification is realized by the use of one parameter embedding op...
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| Lenguaje: | eng |
| Publicado: |
1974
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| Acceso en línea: | http://cds.cern.ch/record/873637 |
| _version_ | 1780907700662566912 |
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| author | Pomentale, T |
| author_facet | Pomentale, T |
| author_sort | Pomentale, T |
| collection | CERN |
| description | Globally convergent iterative methods for polynomial equations f(z)=0 are obtained. They are derived to modifying iterative functions such as Newton, Steffensen, etc., so as to avoid the critical points and ensure the convergence. The modification is realized by the use of one parameter embedding operator (homotopy) associated with the polynomial. (13 refs). |
| id | cern-873637 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 1974 |
| record_format | invenio |
| spelling | cern-8736372019-09-30T06:29:59Zhttp://cds.cern.ch/record/873637engPomentale, THomotopy iterative methods for polynomial equationsEngineeringGlobally convergent iterative methods for polynomial equations f(z)=0 are obtained. They are derived to modifying iterative functions such as Newton, Steffensen, etc., so as to avoid the critical points and ensure the convergence. The modification is realized by the use of one parameter embedding operator (homotopy) associated with the polynomial. (13 refs).oai:cds.cern.ch:8736371974 |
| spellingShingle | Engineering Pomentale, T Homotopy iterative methods for polynomial equations |
| title | Homotopy iterative methods for polynomial equations |
| title_full | Homotopy iterative methods for polynomial equations |
| title_fullStr | Homotopy iterative methods for polynomial equations |
| title_full_unstemmed | Homotopy iterative methods for polynomial equations |
| title_short | Homotopy iterative methods for polynomial equations |
| title_sort | homotopy iterative methods for polynomial equations |
| topic | Engineering |
| url | http://cds.cern.ch/record/873637 |
| work_keys_str_mv | AT pomentalet homotopyiterativemethodsforpolynomialequations |