%0 Journal Article %T State space formulas for stable rational matrix solutions of a Leech problem %A A. E. Frazho %A S. ter Horst %A M. A. Kaashoek %J Mathematics %D 2014 %I arXiv %X Given stable rational matrix functions $G$ and $K$, a procedure is presented to compute a stable rational matrix solution $X$ to the Leech problem associated with $G$ and $K$, that is, $G(z)X(z)=K(z)$ and $\sup_{|z|\leq 1}\|X(z)\|\leq 1$. The solution is given in the form of a state space realization, where the matrices involved in this realization are computed from state space realizations of the data functions $G$ and $K$. %U http://arxiv.org/abs/1408.2143v1