On the generalized eigenvectors of a class of moment matrices

An investigation is made of the eigenstructure of a class of lower triangular moment matrices that arose in the context of finding the forced response of IIR filters to typical excitations. It is found that the Jordan matrix can have at most two types of Jordan blocks. The modal matrix is shown to have a peculiar structure where the progenitors in the column partitions corresponding to the Jordan blocks have a certain pattern.