- Title
- The range of the gradient of a continuously differentiable bump
- Creator
- Borwein, J. M.; Fabian, M.; Kortezov, I.; Loewen, P. D.
- Relation
- Journal of Nonlinear and Convex Analysis Vol. 2, Issue 1, p. 1-19
- Relation
- http://www.ybook.co.jp/online2/jncav2-1.html
- Publisher
- Yokohama Publishers
- Resource Type
- journal article
- Date
- 2001
- Description
- 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.
- Subject
- gradient ranges; differentiable functions; differentiable bumps
- Identifier
- http://hdl.handle.net/1959.13/940706
- Identifier
- uon:13067
- Identifier
- ISSN:1345-4773
- Language
- eng
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