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

Authors
CHAN WL HUANG LR NG KF
Citation
Wl. Chan et al., ON GENERALIZED 2ND-ORDER DERIVATIVES AND TAYLOR EXPANSIONS IN NONSMOOTH OPTIMIZATION, SIAM journal on control and optimization, 32(3), 1994, pp. 591-611
Citations number
18
Categorie Soggetti
Controlo Theory & Cybernetics",Mathematics
Journal title
SIAM journal on control and optimization → ACNP
ISSN journal
03630129
Volume
32
Issue
3
Year of publication
1994
Pages
591 - 611
Database
ISI
SICI code
0363-0129(1994)32:3<591:OG2DAT>2.0.ZU;2-F
Abstract
A representation of Cominetti and Correa's generalized second-order di rectional derivative [SIAM J. Control Optim., 28 (1990), pp. 789-8091 is given and then applied to obtain a Taylor theorem type result. A co njecture 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.