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• W4281728744 abstract "Newton differentiability is an important concept for analyzing generalized Newton methods for nonsmooth equations. In this work, for a convex function defined on an infinite-dimensional space, we discuss the relation between Newton and Bouligand differentiability and upper semicontinuity of its subdifferential. We also construct a Newton derivative of an operator of the form $(Fx)(p) = f(x,p)$ for general nonlinear operators $f$ that possess a Newton derivative with respect to $x$ and also for the case where $f$ is convex in $x$." @default.
• W4281728744 created "2022-06-13" @default.
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• W4281728744 date "2022-06-01" @default.
• W4281728744 modified "2023-09-26" @default.
• W4281728744 title "Newton Differentiability of Convex Functions in Normed Spaces and of a Class of Operators" @default.
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• W4281728744 doi "https://doi.org/10.1137/21m1449531" @default.
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