On C-1-regularity of functions that define G-closure

Authors
Miettinen, M Raitums, U
Citation
M. Miettinen et U. Raitums, On C-1-regularity of functions that define G-closure, Z ANAL ANWE, 20(1), 2001, pp. 203-214
Citations number
16
Categorie Soggetti
Mathematics
Journal title
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
ISSN journal
02322064 → ACNP
Volume
20
Issue
1
Year of publication
2001
Pages
203 - 214
Database
ISI
SICI code
0232-2064(2001)20:1<203:OCOFTD>2.0.ZU;2-U
Abstract
In this paper we show that the functions which are used in the characteriza tion of the G-closure or the G(theta)-closure of sets of matrices are conti nuously differentiable. These regularity results are based on the observati on by Ball, Kirchheim and Kristensen [1] that separate convexity and upper semidifferentiability imply continuous differentiability .