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.

引用

页码：591 / 611

页数：21

共 18 条

[1]

AUBIN JP, 1984, APPLIED NONLINEAR AN

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