Article ID Journal Published Year Pages File Type
4602203 Linear Algebra and its Applications 2009 21 Pages PDF
Abstract

In this paper, we introduce the generalized Leibniz functional matrices and study some algebraic properties of such matrices. To demonstrate applications of these properties, we derive several novel factorization forms of some well-known matrices, such as the complete symmetric polynomial matrix and the elementary symmetric polynomial matrix. In addition, by applying factorizations of the generalized Leibniz functional matrices, we redevelop the known results of factorizations of Stirling matrices of the first and second kind and the generalized Pascal matrix.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory