2 problems

0 votes0 replies0 views
Graef et al.'s minimal-node conjecture for quadrature on the rotation group
Let $\mathrm{SO}(3)$ denote the rotation group. A quadrature formula on $\mathrm{SO}(3)$ with equal weights is said to reproduce integrals of polynomials of degree at most $2$ exac…
Conjectureopendesigns quadrature-formulas rotation-groupsarXiv posted 2 days ago
0 votes0 replies0 views
The conjecture on improving the lower bound in Theorem 3
Lower-bound conjecture. Theorem 3 should hold with $\frac{1}{r}$ instead of $\frac{1}{2r}$ in its stated bound.
Conjectureopennumerical-analysis quadrature-formulasarXiv posted 2 days ago

Graef et al.'s minimal-node conjecture for quadrature on the rotation group