Peart, Paul; Woodson, Leon Triple factorization of some Riordan matrices. (English) Zbl 0778.05005 Fibonacci Q. 31, No. 2, 121-128 (1993). The paper studies the Riordan group, i.e. infinite lower triangular matrices associated with certain generating functions. For such a matrix \(L\), \(\bar L\) denotes \(L\) with the first line deleted. The Stieltjes matrix of \(L\), \(S_ L\), is the (unique) solution of \(LS_ L=\bar L\). The paper shows that if \(S_ L\) is tridiagonal, then \(L\) admits a factorization \(L=PCF\) into special types of matrices. Applications are given to big Schröder numbers and Legendre polynomials. Reviewer: L.A.Székely (Budapest) Cited in 11 Documents MSC: 05A15 Exact enumeration problems, generating functions 11C20 Matrices, determinants in number theory Keywords:Riordan matrices; matrix factorization; Riordan group; generating functions; matrix; Stieltjes matrix PDFBibTeX XMLCite \textit{P. Peart} and \textit{L. Woodson}, Fibonacci Q. 31, No. 2, 121--128 (1993; Zbl 0778.05005)