ON GENERALIZED 2ND-ORDER DERIVATIVES AND TAYLOR EXPANSIONS IN NONSMOOTH OPTIMIZATION

被引：31
|
作者：
CHAN, WL
HUANG, LR
NG, KF
机构：
[1] Chinese Univ of Hong Kong, Shatin
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1994年 / 32卷 / 03期
关键词：
DINI-DIRECTIONAL DERIVATIVE; CLARKE DIRECTIONAL DERIVATIVE; GENERALIZED 2ND-ORDER DIRECTIONAL DERIVATIVE; TAYLOR EXPANSION; NONSMOOTH ANALYSIS;
D O I：
10.1137/S0363012992227423
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A representation of Cominetti and Correa's generalized second-order directional derivative [SIAM J. Control Optim., 28 (1990), pp. 789-8091 is given and then applied to obtain a Taylor theorem type result. A conjecture in [SIAM J. Control Optim, 28 (1990), pp. 789-8091 concerning functions of the form max1 less-than-or-equal-to i less-than-or-equal-to n g(i)(x) is proved under a strengthened assumption, but not true otherwise.
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页码：591 / 611
页数：21
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