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Convergence of Newton's method and inverse function theorem in Banach space
Author(s):
Wang
Xinghua.
Journal:
Math. Comp.
68
(1999),
169-186.
MSC (1991):
Primary 65H10
MathSciNet review:
1489975
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Abstract:
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.
References:
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Additional Information:
Wang
Xinghua
Affiliation:
Department of Mathematics, Hangzhou University, Hangzhou 310028 China
DOI:
10.1090/S0025-5718-99-00999-0
PII:
S 0025-5718(99)00999-0
Received by editor(s):
March 12, 1997
Received by editor(s) in revised form:
June 6, 1997
Additional Notes:
Supported by the China State Major Key Project for Basic Research and the Zhejiang Provincial Natural Science Foundation.
Copyright of article:
Copyright
1999,
American Mathematical Society
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