Name
Title | ||
|---|---|---|
NEWTON DIFFERENTIABILITY OF CONVEX FUNCTIONS IN NORMED SPACES AND OF A CLASS OF OPERATORS |
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. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1137/21M1449531 | SIAM JOURNAL ON OPTIMIZATION |
Keywords | DocType | Volume |
subdifferential, semismooth, Newton derivative, Bouligand derivative, maximum functional, measurable selector, convex | Journal | 32 |
Issue | ISSN | Citations |
2 | 1052-6234 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Martin Brokate | 1 | 58 | 4.67 |
| Michael Ulbrich | 2 | 0 | 0.34 |