Residual bounds for Schur-stable polynomials

Xiaojun Tan, Qihang Wang, Wei Huang +1

Let $r_n$ be the infimum of \[ \frac{\lVert P'-P'(0)P\rVert_{H^2}}{\lVert P\rVert_{H^2}} \] over all degree-$n$ polynomials $P$ satisfying $P(0)=1$ whose zeros lie in the closed un…