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Newton's method under mild differentiability conditions

✍ Scribed by Herbert B. Keller

Publisher: Elsevier Science
Year: 1970
Tongue: English
Weight: 437 KB
Volume: 4
Category: Article
ISSN: 0022-0000
DOI: 10.1016/s0022-0000(70)80009-5

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✦ Synopsis

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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