On the computation of the inverse of a rational matrix via expansions†
Joos P. L. Vandewalle, J. VAN DAELE · International Journal of Control · 1980
Adapting Silverman's structure algorithm a general, efficient and recursive algorithm is given for the following problem. Given the Laurent expansion at α of a non-singular rational matrix A(p), compute the Laurent expansion of the inverse A(p)−1 at α. The use of this algorithm in the inversion of rational and polynomial matrices and in particular the computation of the partial fraction expansion of the inverse are discussed.