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Advances in Iterative Methods for Nonlinear Equations

This book focuses on the approximation of nonlinear equations using iterative methods. Nine contributions are presented on the construction and analysis of these methods, the coverage encompassing convergence, efficiency, robustness, dynamics, and applications. Many problems are stated in the form o...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Amat, Sergio (Editor ), Busquier, Sonia (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:SEMA SIMAI Springer Series, 10
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1 S. Amat, S. Busquier, A. A. Magrenan and L. Orcos: An overview on Steffensen-type methods
  • 2 Ioannis K. Argyros and Daniel Gonzalez: Newton's Method for Convex Optimization
  • 3 I. K. Argyros and Á. A. Magreñán: Inexact Newton methods on Riemannian Manifolds
  • 4 Alicia Cordero and Juan R. Torregrosa: On the design of optimal iterative methods for solving nonlinear equations
  • 5 J. A. Ezquerro and M. A. Hernandez-Veron: The theory of Kantorovich for Newton's method: conditions on the second derivative
  • 6 J.-C. Yakoubsohn, J. M. Gutiérrez and Á. A. Magreñán: Complexity of an homotopy method at the neighbourhood of a zero
  • 7 M. A. Hernandez-Veron and N. Romero: A qualitative analysis of a family of Newton-like iterative process with R-order of convergence at least three
  • 8 J. M. Gutierrez, L. J. Hernandez, Á. A. Magreñán and M. T. Rivas: Measures of the basins of attracting n-cycles for the relaxed Newton's method
  • 9 Miquel Grau-Sanchez and Miquel Noguera: On convergence and efficiency in the resolution of systems of nonlinear equations from a local analysis.