Local Convergence of Newton’s Method Under a Weak Gamma Condition
نویسنده
چکیده
We provide a local convergence analysis of Newton’s method under a weak gamma condition on a Banach space setting. It turns out that under the same computational cost and weaker hypotheses than in [4], [5], [7], we can obtain a larger radius of convergence and finer estimates on the distances involved. AMS (MOS) Subject Classification Codes: 65G99, 65B05, 47H17, 49M15.
منابع مشابه
Convergence of Newton’s Method and Uniqueness of the Solution of Equations in Banach Spaces II
Some results on convergence of Newton’s method in Banach spaces are established under the assumption that the derivative of the operators satisfies the radius or center Lipschitz condition with a weak L average.
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