Geometric foundations for scaling-rotation statistics on symmetric positive definite matrices: minimal smooth scaling-rotation curves in low dimensions

David Groisser, Sungkyu Jung, Armin Schwartzman

We investigate a geometric computational framework, called the "scaling-rotation framework", on ${\mathrm{Sym}}^{+}(p)$, the set of $p\times p$ symmetric positive-definite (SPD) matrices…