3 problems

Let ${{\boldsymbol{M}}}_n$ and ${\boldsymbol{S}}_n$ be the matrices described above, and define … Here ${\boldsymbol{T}}({\varepsilon})$ is the symmetric homotopy matrix and…

Let $V=\{(h,z)\in{\mathbb S}\times{\mathbb P}({\mathbb C}^{n+1})\mid h(z)=0\}$ be the solution variety, and let $(g,e_0)$ be the initial pair with … For an initial pair…

Let $f$ be the target polynomial system, let $g$ be a start system chosen from the sphere ${\mathbb S}$ with the uniform probability distribution, and let $e_0$ be the initial solu…