ON THE LOCAL CONVERGENCE OF A NEWTON-TYPE METHOD IN BANACH SPACES UNDER A GAMMA-TYPE CONDITION

ON THE LOCAL CONVERGENCE OF A NEWTON-TYPE METHOD IN BANACH SPACES UNDER A GAMMA-TYPE CONDITION

We provide a local convergence analysis for a Newton-type method to approximate a locally unique solution of an operator equation in Banach spaces. The local convergence of this method was studied in the elegant work by Werner in [11], using information on the domain of the operator. Here, we use in...

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Autores principales: ARGYROS,IOANNIS K, HILOUT,SAÏD
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2008
Materias:
Banach space
Newton-type method
convergence
gamma-type condition
local convergence
Fréchet-derivative
radius of convergence
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172008000100001
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