Local convergence radius for the Mann-type iteration
A procedure to estimate the local convergence radius for a Mann-type iteration is given in the setting of a finite dimensional space. In particular we obtain the estimation of radius for classical Newton method. Numerical experiments are presented showing the efficiency of the proposed procedure in...
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| Format: | Article |
| Language: | English |
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Sciendo
2015-12-01
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| Series: | Annals of the West University of Timisoara: Mathematics and Computer Science |
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| Online Access: | https://doi.org/10.1515/awutm-2015-0018 |
| _version_ | 1811289696772292608 |
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| author | Măruşter Ştefan |
| author_facet | Măruşter Ştefan |
| author_sort | Măruşter Ştefan |
| collection | DOAJ |
| description | A procedure to estimate the local convergence radius for a Mann-type iteration is given in the setting of a finite dimensional space. In particular we obtain the estimation of radius for classical Newton method. Numerical experiments are presented showing the efficiency of the proposed procedure in comparison with other known methods. In some cases our procedure gives the maximum local convergence radius. |
| first_indexed | 2024-04-13T04:00:15Z |
| format | Article |
| id | doaj.art-a46b8cd700744aa9aac3663eb90c7512 |
| institution | Directory Open Access Journal |
| issn | 1841-3307 |
| language | English |
| last_indexed | 2024-04-13T04:00:15Z |
| publishDate | 2015-12-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annals of the West University of Timisoara: Mathematics and Computer Science |
| spelling | doaj.art-a46b8cd700744aa9aac3663eb90c75122022-12-22T03:03:31ZengSciendoAnnals of the West University of Timisoara: Mathematics and Computer Science1841-33072015-12-0153210912010.1515/awutm-2015-0018awutm-2015-0018Local convergence radius for the Mann-type iterationMăruşter Ştefan0Department of Computer Science, West University of Timisoara, B-l V. Parvan nr. 4, Timisoara, RomaniaA procedure to estimate the local convergence radius for a Mann-type iteration is given in the setting of a finite dimensional space. In particular we obtain the estimation of radius for classical Newton method. Numerical experiments are presented showing the efficiency of the proposed procedure in comparison with other known methods. In some cases our procedure gives the maximum local convergence radius.https://doi.org/10.1515/awutm-2015-0018mann-type iterationlocal convergence radius |
| spellingShingle | Măruşter Ştefan Local convergence radius for the Mann-type iteration Annals of the West University of Timisoara: Mathematics and Computer Science mann-type iteration local convergence radius |
| title | Local convergence radius for the Mann-type iteration |
| title_full | Local convergence radius for the Mann-type iteration |
| title_fullStr | Local convergence radius for the Mann-type iteration |
| title_full_unstemmed | Local convergence radius for the Mann-type iteration |
| title_short | Local convergence radius for the Mann-type iteration |
| title_sort | local convergence radius for the mann type iteration |
| topic | mann-type iteration local convergence radius |
| url | https://doi.org/10.1515/awutm-2015-0018 |
| work_keys_str_mv | AT marusterstefan localconvergenceradiusforthemanntypeiteration |