Abstract
This paper provides triangular spherical designs for the complex unit sphere Ωd⊂ℂd by exploiting the natural correspondence with the real unit sphere S2d−1⊂R2d. A variational characterization of triangular complex designs is provided, with particular emphasis on numerical computation of efficient triangular complex designs with good geometric properties as measured by their mesh ratio. We give numerical examples of triangular spherical t-designs on complex unit spheres of dimension d=2 to 6.
Original language | English (US) |
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Article number | 114796 |
Journal | Journal of Computational and Applied Mathematics |
Volume | 421 |
DOIs | |
State | Published - Mar 15 2023 |
Keywords
- Complex designs
- Numerical integration
- Quasi-uniform
- Spherical designs
- Uniform distribution
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics