Abstract
Recently, there was a distance function d studied in [16], which was shown a semi-distance in the setting of symmetric cone. This result was indeed verified under the assumption of operator commute. It was further proved that it could become a proximal distance in the setting of second-order cone. In this short paper, we improve these results by showing that the distance function d studied in [16] is not only a semi-distance, but also a proximal distance in the setting of symmetric cone without assuming operator commute.
| Original language | English |
|---|---|
| Pages (from-to) | 241-250 |
| Number of pages | 10 |
| Journal | Journal of Nonlinear and Convex Analysis |
| Volume | 23 |
| Issue number | 2 |
| Publication status | Published - 2022 |
Keywords
- proximal distance
- quadratic representation
- semi-distance
- Symmetric cone
ASJC Scopus subject areas
- Analysis
- Geometry and Topology
- Control and Optimization
- Applied Mathematics