Title of article
A new semilocal convergence theorem for Newtonʹs method
Author/Authors
Gutiérrez، نويسنده , , JoséM، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1997
Pages
15
From page
131
To page
145
Abstract
A new semilocal convergence theorem for Newtonʹs method is established for solving a nonlinear equation F(x) = 0, defined in Banach spaces. It is assumed that the operator F is twice Fréchet differentiable, and F″ satisfies a Lipschitz type condition. Results on uniqueness of solution and error estimates are also given. Finally, these results are compared with those that use Kantorovich conditions.
Keywords
Newtonיs method , Nonlinear equations in Banach spaces , error estimates , Convergence theorem , Majorizing sequences
Journal title
Journal of Computational and Applied Mathematics
Serial Year
1997
Journal title
Journal of Computational and Applied Mathematics
Record number
1547908
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