Corrigendum and Addendum: Newton Differentiability of Convex Functions in Normed Spaces and of a Class of Operators

IF 2.6 1区数学 Q1 MATHEMATICS, APPLIED

SIAM Journal on Optimization Pub Date : 2024-09-16 DOI:10.1137/24m1669542

Martin Brokate, Michael Ulbrich

引用次数: 0

Abstract

SIAM Journal on Optimization, Volume 34, Issue 3, Page 3163-3166, September 2024.
Abstract. As it is formulated, Proposition 3.12 of [M. Brokate and M. Ulbrich, SIAM J. Optim., 32 (2022), pp. 1265–1287] contains an error. But this can be corrected in the way described below. The results of [M. Brokate and M. Ulbrich, SIAM J. Optim., 32 (2022), pp. 1265–1287] based on Proposition 3.12 are not affected. We also use the opportunity to add a further illustrating example and to rectify some inaccuracies which may be confusing.

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更正和增补：规范空间中凸函数和一类算子的牛顿可微性

SIAM 优化期刊》，第 34 卷第 3 期，第 3163-3166 页，2024 年 9 月。摘要M. Brokate and M. Ulbrich, SIAM J. Optim., 32 (2022), pp.但这可以通过下文所述的方法加以纠正。基于命题 3.12 的 [M. Brokate and M. Ulbrich, SIAM J. Optim.我们还借此机会增加了一个示例，并纠正了一些可能引起混淆的不准确之处。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

SIAM Journal on Optimization 数学-应用数学

CiteScore

5.30

自引率

9.70%

发文量

101

审稿时长

6-12 weeks

期刊介绍： The SIAM Journal on Optimization contains research articles on the theory and practice of optimization. The areas addressed include linear and quadratic programming, convex programming, nonlinear programming, complementarity problems, stochastic optimization, combinatorial optimization, integer programming, and convex, nonsmooth and variational analysis. Contributions may emphasize optimization theory, algorithms, software, computational practice, applications, or the links between these subjects.