2 papers
math.OC2004
On Matrix Polynomials with Real Roots
Leonid Gurvits, Leiba Rodman
It is proved that the roots of combinations of matrix polynomials with real roots can be recast as eigenvalues of combinations of real symmetric matrices, under certain hypotheses.…
math.CV2002
Functions with Pick matrices having bounded number of negative eigenvalues
V. Bolotnikov, A. Kheifets, L. Rodman
A class is studied of complex valued functions defined on the unit disk (with a possible exception of a discrete set) with the property that all their Pick matrices have not more t…