(eng): Abstract˙A new algorithm for the doubly coprime factor-ization over the ring of stable proper rational matrices is presented in this report. The method is based on the state-space description of the involved rational functions and relies on previously published algorithms for pole assignment and for the left-to-right matrix fraction conversion by Varga [3], [2]. Numerical properties are demonstrated by means of examples and numerical experiments.

(cze): Nový algoritmus pro " faktorizace nad okruhem stabilních ryzích racionálních funkcí a matic je predmetem tohoto clánku. Nová metoda je zalozena na stavovém popisu a vyuzívá dríve publikovaných algoritmu A. Vargy pro prirazení polu a LF-RF konverzi. Numericke vlastnosti jsou ukázány na príkladu