Abstract
Space tensors appear in physics and mechanics. Mathematically, they are tensors in the three-dimensional Euclidean space. In the research area of diffusion magnetic resonance imaging, convex optimization problems are formed where higher order positive semi-definite space tensors are involved. In this short paper, we investigate these problems from the viewpoint of conic linear programming (CLP). We characterize the dual cone of the positive semi-definite space tensor cone, and study the CLP formulation and the duality of positive semi-definite space tensor conic programming.
| Original language | English |
|---|---|
| Pages (from-to) | 307-319 |
| Number of pages | 13 |
| Journal | Computational Optimization and Applications |
| Volume | 59 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - 1 Jan 2014 |
Keywords
- Cone
- Conic linear programming
- Dual cone
- Duality
- Positive semi-definiteness
- Space tensor
ASJC Scopus subject areas
- Control and Optimization
- Computational Mathematics
- Applied Mathematics