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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2003
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/math/0302002 |
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| _version_ | 1866915560141357056 |
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| author | Ramm, A. G. Smirnova, A. B. Favini, A. |
| author_facet | Ramm, A. G. Smirnova, A. B. Favini, A. |
| contents | A nonlinear operator equation $F(x)=0$, $F:H\to H,$ in a Hilbert space is considered. Continuous Newton's-type procedures based on a construction of a dynamical system with the trajectory starting at some initial point $x_0$ and becoming asymptotically close to a solution of $F(x)=0$ as $t\to +\infty$ are discussed. Well-posed and ill-posed problems are investigated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0302002 |
| institution | arXiv |
| publishDate | 2003 |
| record_format | arxiv |
| spellingShingle | Continuous modified Newton's-type method for nonlinear operator equations Ramm, A. G. Smirnova, A. B. Favini, A. Numerical Analysis A nonlinear operator equation $F(x)=0$, $F:H\to H,$ in a Hilbert space is considered. Continuous Newton's-type procedures based on a construction of a dynamical system with the trajectory starting at some initial point $x_0$ and becoming asymptotically close to a solution of $F(x)=0$ as $t\to +\infty$ are discussed. Well-posed and ill-posed problems are investigated. |
| title | Continuous modified Newton's-type method for nonlinear operator equations |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/math/0302002 |