Počet záznamů: 1
The range of the gradient of a continuously differentiable bump
- 1.0175333 - MU-W 20030085 RIV JP eng J - Článek v odborném periodiku
Borwein, J. M. - Fabian, Marián - Kortezov, I. - Loewen, P. D.
The range of the gradient of a continuously differentiable bump.
Journal of Nonlinear and Convex Analysis. Roč. 2, č. 1 (2001), s. 1-19. ISSN 1345-4773. E-ISSN 1880-5221
Grant CEP: GA ČR GA201/98/1449
Výzkumný záměr: CEZ:AV0Z1019905; CEZ:AV0Z1019905
Klíčová slova: Banach space * G'teaux differentiability
Kód oboru RIV: BA - Obecná matematika
For a continuously differentiable function with bounded nonempty support, the range of the gradient cannot be locally contained in a hyperplane. However, iterative methods allow the construction of continuously differentiable functions whose gradient ranges have rather general topological features. For example,the gradient range may fail to be simply connected.
Trvalý link: http://hdl.handle.net/11104/0072317
Počet záznamů: 1