Generalized Pascal k-eliminated functional matrix with 2n variables
Morteza Bayat · Electronic Journal of Linear Algebra · 2011
Abstract. In this paper, we introduce the Pascal k-eliminated functional matrix and the Pascal symmetric functional matrix with 2n variables. Some algebraic properties of these matrices are presented and proved. In addition, we demonstrate a direct application of these properties for LU decompositions of some well-known matrices (such as symmetric Pascal matrices). Key words. Pascal matrix, Pascal k-eliminated functional matrix, Pascal symmetric functional