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| Main Author: | |
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| Format: | Preprint |
| Published: |
2002
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/math/0203187 |
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| _version_ | 1866909853348265984 |
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| author | Graca, Mario M. |
| author_facet | Graca, Mario M. |
| contents | A neutral fixed point of a real iteration map $u$ becomes a super attracting fixed point using a suitable double newtonisation. The map $u$ is so transformed into a map $w$ which is here called the standard accelerator of $u$. The map $w$ provides a unifying process to deal with a large set of fixed point sequences which are not convergent or converge slowly. Several examples illustrate the main results obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0203187 |
| institution | arXiv |
| publishDate | 2002 |
| record_format | arxiv |
| spellingShingle | Double newtonisation of fixed point sequences Graca, Mario M. Numerical Analysis 65B;65H05;65B99 A neutral fixed point of a real iteration map $u$ becomes a super attracting fixed point using a suitable double newtonisation. The map $u$ is so transformed into a map $w$ which is here called the standard accelerator of $u$. The map $w$ provides a unifying process to deal with a large set of fixed point sequences which are not convergent or converge slowly. Several examples illustrate the main results obtained. |
| title | Double newtonisation of fixed point sequences |
| topic | Numerical Analysis 65B;65H05;65B99 |
| url | https://arxiv.org/abs/math/0203187 |