Ioannis Konstantinos Argyros, Angel Alberto Magreñán

Iterative Methods and Their Dynamics with Applications

A Contemporary Study

• Gebundenes Buch

Produktbeschreibung

In this book you can find theory and applications of classical and new iterative root-finding algorithms and families of iterative methods. Some recently discovered graphical tools are presented, studied, and used in order to find the best methods in convergence terms. Moreover, the differences between real and complex behaviors are presented. Finally, some real applications of the methods appear in the last chapter.

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Produktdetails

• Verlag: CRC Press
• Seitenzahl: 365
• Erscheinungstermin: 13. Februar 2017
• Englisch
• Abmessung: 234mm x 157mm x 23mm
• Gewicht: 857g
• ISBN-13: 9781498763608
• ISBN-10: 149876360X
• Artikelnr.: 47702658

Autorenporträt

Ioannis Konstantinos Argyros, Angel Alberto Magreñán

Inhaltsangabe

Halley's method. Newton's method for k
Fréchet differentiable operators. Nonlinear Ill
posed quations. Sixth
order iterative methods. Local convergence and basins of attraction of a two
step Newton like method for equations with solutions of multiplicity greater than one. Extending the Kantorovich theory for solving equations. Robust convergence for inexact Newton method. Inexact Gauss
Newton
like method for least square problems. Lavrentiev Regularization Methods for Ill
posed Equations. King
Werner
type methods of order 1+sqrt(2). Generalized equations and Newton's method. Newton's method for generalized equations using restricted domains. Secant
like methods. King
Werner
like methods free of derivatives. Müller's method. Generalized Newton Method with applications. Newton
secant methods with values in a cone. Gauss
Newton method with applications to convex optimization. Directional Newton methods and restricted domains. Gauss
Newton method for convex optimization. Ball Convergence for eighth order method. Expanding Kantorovich's theorem for solving generalized equations.