Numerical computation of triangular complex spherical designs with small mesh ratio
Publication
, Journal Article
Wang, YG; Womersley, RS; Wu, H-T; Yu, W-H
July 31, 2019
This paper provides triangular spherical designs for the complex unit sphere $\Omega^d$ by exploiting the natural correspondence between the complex unit sphere in $d$ dimensions and the real unit sphere in $2d-1$. The existence of triangular and square complex spherical $t$-designs with the optimal order number of points is established. 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 $6$.
Duke Scholars
Publication Date
July 31, 2019
Citation
APA
Chicago
ICMJE
MLA
NLM
Wang, Y. G., Womersley, R. S., Wu, H.-T., & Yu, W.-H. (2019). Numerical computation of triangular complex spherical designs with small
mesh ratio.
Wang, Yu Guang, Robert S. Womersley, Hau-Tieng Wu, and Wei-Hsuan Yu. “Numerical computation of triangular complex spherical designs with small
mesh ratio,” July 31, 2019.
Wang YG, Womersley RS, Wu H-T, Yu W-H. Numerical computation of triangular complex spherical designs with small
mesh ratio. 2019 Jul 31;
Wang, Yu Guang, et al. Numerical computation of triangular complex spherical designs with small
mesh ratio. July 2019.
Wang YG, Womersley RS, Wu H-T, Yu W-H. Numerical computation of triangular complex spherical designs with small
mesh ratio. 2019 Jul 31;
Publication Date
July 31, 2019