Decomposition of a rational matrix into partial fractions

In this paper a technique is developed for the expansion of a rational matrix F(λ)=G(λ)L^-1(λ)(orF(λ)=L^-1(λ)G(λ)into block partial fractions when the denominator has multiple roots. The method consists in the construction of interpolating matrix polynomials and their properties. Moreover, the approach is extended when L(λ) has nonlinear divisors.