Convergence and Applications of Newton-type Iterations
Recent results in local convergence and semi-local convergence analysis constitute a natural framework for the theoretical study of iterative methods. This monograph provides a comprehensive study of both basic theory and new results in the area. Each chapter contains new theoretical results and imp...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
New York, NY :
Springer New York
2008.
Cham : Springer Nature |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Convergence and applications of Newton-type iterations, Ioannis K. Argyros, New York, Springer, 2008, 1 vol. (XV, 506 p.), 0-387-72741-8 • Convergence and Applications of Newton-type Iterations, Texte imprimé, 9780387566122 • Convergence and Applications of Newton-type Iterations, Texte imprimé, 9781441924926 |
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| 100 | 1 | |a Argyros, Ioannis Konstantinos, |d 1956- | |
| 245 | 1 | 0 | |a Convergence and Applications of Newton-type Iterations |c Ioannis K. Argyros. |
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c 2008. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Operators and Equations -- The Newton Kantorovich (NK) Method -- Applications of the Weaker Version of the NK Theorem -- Special Methods -- Newton-like Methods -- Analytic Computational Complexity We Are Concerned with the Choice of Initial Approximations -- Variational Inequalities -- Convergence Involving Operators with Outer or Generalized Inverses -- Convergence on Generalized Banach Spaces: Improving Error Bounds and Weakening of Convergence Conditions -- Point to Set Mappings -- The Newton Kantorovich Theorem and Mathematical Programming. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Recent results in local convergence and semi-local convergence analysis constitute a natural framework for the theoretical study of iterative methods. This monograph provides a comprehensive study of both basic theory and new results in the area. Each chapter contains new theoretical results and important applications in engineering, modeling dynamic economic systems, input-output systems, optimization problems, and nonlinear and linear differential equations. Several classes of operators are considered, including operators without Lipschitz continuous derivatives, operators with high order derivatives, and analytic operators. Each section is self-contained. Examples are used to illustrate the theory and exercises are included at the end of each chapter. The book assumes a basic background in linear algebra and numerical functional analysis. Graduate students and researchers will find this book useful. It may be used as a self-study reference or as a supplementary text for an advanced course in numerical functional analysis. | ||
| 650 | |a Méthode de Newton | ||
| 650 | |a Convergence (mathématiques) | ||
| 650 | |a Itération (mathématiques) | ||
| 650 | |a Équations à opérateurs non linéaires | ||
| 650 | |a Équations différentielles |x Informatique | ||
| 776 | 0 | |0 133068501 |t Convergence and applications of Newton-type iterations |f Ioannis K. Argyros |c New York |n Springer |d 2008 |p 1 vol. (XV, 506 p.) |z 0-387-72741-8 | |
| 776 | 0 | |t Convergence and Applications of Newton-type Iterations |b Texte imprimé |z 9780387566122 | |
| 776 | 0 | |t Convergence and Applications of Newton-type Iterations |b Texte imprimé |z 9781441924926 | |
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