2 problems

All-pass parametrization conjecture. The set of all minimal right-invertible spectral factors of $\Phi(z)$ is

Let $\Phi(z)\in\mathbb{R}(z)^{n\times n}$ be a spectrum of normal rank $\mathrm{rk}(\Phi)=r\neq 0$. Let $\mathscr{A}_p$ and $\mathscr{A}_z$ be two unmixed-symplectic sets. Let…