Point estimation of root finding methods
This book sets out to state computationally verifiable initial conditions for predicting the immediate appearance of the guaranteed and fast convergence of iterative root finding methods. Attention is paid to iterative methods for simultaneous determination of polynomial zeros in the spirit of Smale...
Enregistré dans:
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| Format: | Livre numérique |
| Sprog: | Anglais |
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Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Udgivelse: | 1st ed. 2008. |
| Serier: | Lecture notes in mathematics (Internet)
1933 |
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| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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L'impression du document génère 222 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Point estimation of root finding methods, Miodrag Petković, Berlin, Springer, 2008, 1 vol. (XII-210 p.), Lecture notes in mathematics, 3-540-77850-0 • Point Estimation of Root Finding Methods, Texte imprimé, 9783540848981 • Point estimation of root finding methods, Miodrag Petković, Berlin, Springer, 2008, 1 vol. (XII-210 p.), Lecture notes in mathematics, 3-540-77850-0 |
| Summary: | This book sets out to state computationally verifiable initial conditions for predicting the immediate appearance of the guaranteed and fast convergence of iterative root finding methods. Attention is paid to iterative methods for simultaneous determination of polynomial zeros in the spirit of Smale's point estimation theory, introduced in 1986. Some basic concepts and Smale's theory for Newton's method, together with its modifications and higher-order methods, are presented in the first two chapters. The remaining chapters contain the recent author's results on initial conditions guaranteing convergence of a wide class of iterative methods for solving algebraic equations. These conditions are of practical interest since they depend only on available data, the information of a function whose zeros are sought and initial approximations. The convergence approach presented can be applied in designing a package for the simultaneous approximation of polynomial zeros. |
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| Emne beskrivelse: | L'impression du document génère 222 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografi: | Bibliogr. Index |
| ISBN: | 9783540778516 |
| ISSN: | 1617-9692 |
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