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- W2183617637 abstract "We analyze the semilocal convergence of Newton’s method under center conditions on the first Fréchet-derivative of the operator involved. We see that we can extend the known results so far, since we provide different starting points from the point where the first Fréchet-derivative is centered (that is the situation usually considered by other authors), so that the domain of starting points is enlarged for Newton’s method. We also illustrate the theoretical results obtained with some mildly nonlinear elliptic equations." @default.
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- W2183617637 date "2016-04-01" @default.
- W2183617637 modified "2023-10-16" @default.
- W2183617637 title "Enlarging the domain of starting points for Newton’s method under center conditions on the first Fréchet-derivative" @default.
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- W2183617637 doi "https://doi.org/10.1016/j.jco.2015.09.007" @default.
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