Real root finding for rank defects in linear Hankel matrices

Didier Henrion, Simone Naldi, Mohab Safey El Din

Let $H\_0,...,H\_n$ be $m\times m$ matrices with entries in $\QQ$ and Hankel structure, i.e. constant skew diagonals. We consider the linear Hankel matrix $H(\vecx)=H\_0+\X\_1H\…