A Unified View of Polarity for Functions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912081638326272 |
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| author | Chancelier, Jean-Philippe de Lara, Michel |
| author_facet | Chancelier, Jean-Philippe de Lara, Michel |
| contents | We propose a unified view of the polarity of functions, that encompasses all specific definitions, generalizes several well-known properties and provides new results. We show that bipolar sets and bipolar functions are isomorphic lattices. Also, we explore three possible notions of polar subdifferential associated with a nonnegative function, and we make the connection with the notion of alignement of vectors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_16773 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Unified View of Polarity for Functions Chancelier, Jean-Philippe de Lara, Michel Optimization and Control We propose a unified view of the polarity of functions, that encompasses all specific definitions, generalizes several well-known properties and provides new results. We show that bipolar sets and bipolar functions are isomorphic lattices. Also, we explore three possible notions of polar subdifferential associated with a nonnegative function, and we make the connection with the notion of alignement of vectors. |
| title | A Unified View of Polarity for Functions |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2410.16773 |