Partial Pole and Zero Displacement by Cascade Connection

Israel Gohberg, M. A. Kaashoek, André C. M. Ran · SIAM Journal on Matrix Analysis and Applications · 1989

Recent interpolation results for rational matrix functions with incomplete data are applied to solve a problem of shifting a part of the poles and the zeros of a given rational matrix function, keeping the other poles and zeros unchanged and the McMillan degree as small as possible.

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