论文信息 - Convergence of Newton's method and inverse function theorem in Banach space

Convergence of Newton's method and inverse function theorem in Banach space

Under the hypothesis that the derivative satisfies some kind of weak Lipschitz condition, a proper condition which makes Newton's method converge, and an exact estimate for the radius of the ball of the inverse function theorem are given in a Banach space. Also, the relevant results on premises of Kantorovich and Smale types are improved in this paper.

Wang Xinghua | W. Xinghua

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