Decompositions and eigenvectors of Riordan matrices

Riordan matrices are infinite lower triangular determined by a pair of formal power series over the real or complex field. These have been mainly studied as combinatorial objects with an emphasis placed on algebraic structure. The present paper contributes to linear discussion analysis means interaction properties algebra. Specifically, it is shown that if matrix A n×n pseudo-involution then singular values must come in reciprocal pairs. Moreover, we give complete existence and nonexistence eigenvectors matrices. This leads surprising partition group into three different types sets eigenvectors. Finally, given nonzero vector v, investigate stabilize i.e. Av=v.