Matrix Polynomials with prescribed zero structure in the finite complex plane
Israel Gohberg, M. A. Kaashoek, André C. M. Ran · Operator theory · 1991
Explicit formulas are deduced for all regular matrix polynomials with a prescribed zero structure in the finite complex plane and with the additional property that the inverses are analytic at infinity. The solutions are parametrized by two matrices satisfying a linear equation which is connected to feedback problems and Rosen brock’s theorem from mathematical systems theory. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.