Forward stability conjecture for the Schur canonical form
Let A0=U0T0U0∗∈Cn×nA_0=U_0T_0U_0^*\in\mathbb{C}^{n\times n}A0=U0T0U0∗∈Cn×n, where U0U_0U0 is unitary and T0T_0T0 is upper triangular. A factorization of AAA as A=UTU∗A=UTU^*A=UTU∗ is a Schur decomposition when UUU is unita…