On Newton's method and nondiscrete mathematical induction
1988 ◽
Vol 38
(1)
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pp. 131-140
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Keyword(s):
The method of nondiscrete mathematical induction is used to find sharp error bounds for Newton's method. We assume only that the operator has Hölder continuous derivatives. In the case when the Fréchet-derivative of the operator satisfies a Lipschitz condition, our results reduce to the ones obtained by Ptak and Potra in 1972.
2009 ◽
Vol 213
(2)
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pp. 440-448
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Keyword(s):
1998 ◽
Vol 96
(1)
◽
pp. 1-12
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2001 ◽
Vol 130
(1-2)
◽
pp. 369-373
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Keyword(s):
2001 ◽
Vol 132
(3)
◽
pp. 183-195
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Keyword(s):
2006 ◽
Vol 320
(1)
◽
pp. 415-424
◽
Keyword(s):
2014 ◽
Vol 07
(01)
◽
pp. 1450007