Title of article
Relaxing Convergence Conditions for Newton’s Method1
Author/Authors
M. A. Hern´andez، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2000
Pages
13
From page
463
To page
475
Abstract
The classical Kantorovich theorem on Newton’s method assumes that the first
derivative of the operator involved satisfies a Lipschitz condition 0 F Žx.
F Žy. L x y . In this paper, we weaken this condition, assuming that
0 F Žx. F Žx0. Ž x x0 . for a given point x0.
Keywords
iterative processes , Newton’s method , Kantorovich conditions
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2000
Journal title
Journal of Mathematical Analysis and Applications
Record number
932212
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