The Necessary and Sufficient Conditions for Representing Lipschitz Bivariate Functions as a Difference of Two Convex Functions(corrected)
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2012
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| _version_ | 1866915140168843264 |
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| author | Proudnikov, Igor |
| author_facet | Proudnikov, Igor |
| contents | In the article the necessary and sufficient conditions for a representation of Lipschitz function of two variables as a difference of two convex functions are formulated. An algorithm of this representation is given. The outcome of this algorithm is a sequence of pairs of convex functions that converge uniformly to a pair of convex functions if the conditions of the formulated theorems are satisfied. A geometric interpretation is also given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1204_1727 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | The Necessary and Sufficient Conditions for Representing Lipschitz Bivariate Functions as a Difference of Two Convex Functions(corrected) Proudnikov, Igor Optimization and Control Differential Geometry In the article the necessary and sufficient conditions for a representation of Lipschitz function of two variables as a difference of two convex functions are formulated. An algorithm of this representation is given. The outcome of this algorithm is a sequence of pairs of convex functions that converge uniformly to a pair of convex functions if the conditions of the formulated theorems are satisfied. A geometric interpretation is also given. |
| title | The Necessary and Sufficient Conditions for Representing Lipschitz Bivariate Functions as a Difference of Two Convex Functions(corrected) |
| topic | Optimization and Control Differential Geometry |
| url | https://arxiv.org/abs/1204.1727 |