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Newton's method under mild differentiability conditions with error analysis

โœ Scribed by Jon Rokne


Publisher
Springer-Verlag
Year
1971
Tongue
English
Weight
458 KB
Volume
18
Category
Article
ISSN
0029-599X

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We study Newton's method for determining the solution off(x) = 0 whenf(x) is required only to be continuous and piecewise continuously differentiable in some sphere about the initial iterate, x ) is nonsingular, (lc) II J-l(x~m)[J(x) -J(y)][I ~ o~(I x -y f), for all x andy ~ D.

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