Title :
Taylor expansions and second-order derivatives for non-smooth functions
Author :
Chan, Wei Liat ; Huang, L.R. ; Ng, K.F.
Author_Institution :
Chinese Univ. of Hong Kong, Shatin, Hong Kong
Abstract :
Cominetti and Correa (1990) a definition of second-order directional derivatives. Based on their work the authors represent a second-order directional derivative in the form of the upper limit of the rates of changes of the Dini directional derivatives. This representation enables the authors to establish second-order Taylor expansions for non-smooth functions
Keywords :
differentiation; optimisation; Dini directional derivatives; Taylor expansions; rates of changes; second-order derivatives; second-order directional derivatives; upper limit; Control theory; TV; Topology;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325725
