Norm-constrained determinantal representations of polynomials

Anatolii Grinshpan, Dmitry S. Kaliuzhnyi-Verbovetskyi, Hugo J. Woerdeman

For every multivariable polynomial $p$, with $p(0)=1$, we construct a determinantal representation $$p=\det (I-KZ),$$ where $Z$ is a diagonal matrix with coordinate variables on…