Strongly quasiconvex functions: what we know (so far)
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909372431466496 |
|---|---|
| author | Grad, Sorin-Mihai Lara, Felipe Marcavillaca, Raúl T. |
| author_facet | Grad, Sorin-Mihai Lara, Felipe Marcavillaca, Raúl T. |
| contents | Introduced by Polyak in 1966, the class of strongly quasiconvex functions includes some interesting nonconvex members, like the square root of the Euclidean norm or ratios with a nonnegative strongly convex numerator and a concave and positive denominator. This survey collects the vast majority of the results involving strongly quasiconvex functions available in the literature at the moment, presenting, in particular, algorithms for minimizing such functions, and suggests some directions where additional investigations would be welcome. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_23055 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strongly quasiconvex functions: what we know (so far) Grad, Sorin-Mihai Lara, Felipe Marcavillaca, Raúl T. Optimization and Control Introduced by Polyak in 1966, the class of strongly quasiconvex functions includes some interesting nonconvex members, like the square root of the Euclidean norm or ratios with a nonnegative strongly convex numerator and a concave and positive denominator. This survey collects the vast majority of the results involving strongly quasiconvex functions available in the literature at the moment, presenting, in particular, algorithms for minimizing such functions, and suggests some directions where additional investigations would be welcome. |
| title | Strongly quasiconvex functions: what we know (so far) |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2410.23055 |