A contemporary study of iterative methods : convergence, dynamics and applications /

A Contemporary Study of Iterative Methods: Convergence, Dynamics and Applications evaluates and compares advances in iterative techniques, also discussing their numerous applications in applied mathematics, engineering, mathematical economics, mathematical biology and other applied sciences. It uses...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Magre�n�an, �A. Alberto (�Angel Alberto) (Autor), Argyros, Ioannis K. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London, United Kingdom : Academic Press, an imprint of Elsevier, 2018.
Temas:
Iterative methods (Mathematics)
It�eration (Math�ematiques)
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Chapter 1. The majorization method in the Kantorovich theory
  • Chapter 2. Directional Newton methods
  • Chapter 3. Newton's method
  • Chapter 4. Generalized equations
  • Chapter 5. Gauss-Newton method
  • Chapter 6. Gauss-Newton method for convex optimization
  • Chapter 7. Proximal Gauss-Newton method
  • Chapter 8. Multistep modified Newton-Hermitian and Skew-Hermitian Splitting method
  • Chapter 9. Secant-like methods in chemistry
  • Chapter 10. Robust convergence of Newton's method for cone inclusion problem
  • Chapter 11. Gauss-Newton method for convex composite optimization
  • Chapter 12. Domain of parameters
  • Chapter 13. Newton's method for solving optimal shape design problems
  • Chapter 14. Osada method
  • Chapter 15. Newton's method to solve equations with solutions of multiplicity greater than one
  • Chapter 16. Laguerre-like method for multiple zeros
  • Chapter 17. Traub's method for multiple roots
  • Chapter 18. Shadowing lemma for operators with chaotic behavior
  • Chapter 19. Inexact two-point Newton-like methods
  • Chapter 20. Two-step Newton methods
  • Chapter 21. Introduction to complex dynamics
  • Chapter 22. Convergence and the dynamics of Chebyshev-Halley type methods
  • Chapter 23. Convergence planes of iterative methods
  • Chapter 24. Convergence and dynamics of a higher order family of iterative methods
  • Chapter 25. Convergence of iterative methods for multiple zeros

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