Numerical construction of spherical $t$-designs by Barzilai-Borwein method

Yuchen Xiao, Congpei An

A point set ${\mathrm{X}}_N$ on the unit sphere is a spherical $t$-design is equivalent to the nonnegative quantity $A_{N,t+1}$ vanished. We show that if ${\mathrm{X}}_N$ is a stationary…