Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.15488 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913008995794944 |
|---|---|
| author | Goodwin, Ariel Lewis, Adrian S. |
| author_facet | Goodwin, Ariel Lewis, Adrian S. |
| contents | Algorithms for minimal enclosing ball problems are often geometric in nature. To highlight the metric ingredients underlying their efficiency, we focus here on a particularly simple geodesic-based method. A recent subgradient-based study proved a complexity result for this method in the broad setting of geodesic spaces of nonpositive curvature. We present a simpler, intuitive and self-contained complexity analysis in that setting, which also improves the convergence rate. We furthermore derive the first complexity result for the algorithm on geodesic spaces with curvature bounded above. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_15488 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Minimal enclosing balls via geodesics Goodwin, Ariel Lewis, Adrian S. Optimization and Control Computational Geometry 90C48, 65Y20, 51-08, 53C22, 68Q25 G.1.6 Algorithms for minimal enclosing ball problems are often geometric in nature. To highlight the metric ingredients underlying their efficiency, we focus here on a particularly simple geodesic-based method. A recent subgradient-based study proved a complexity result for this method in the broad setting of geodesic spaces of nonpositive curvature. We present a simpler, intuitive and self-contained complexity analysis in that setting, which also improves the convergence rate. We furthermore derive the first complexity result for the algorithm on geodesic spaces with curvature bounded above. |
| title | Minimal enclosing balls via geodesics |
| topic | Optimization and Control Computational Geometry 90C48, 65Y20, 51-08, 53C22, 68Q25 G.1.6 |
| url | https://arxiv.org/abs/2603.15488 |