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Explicit Factorization of Pascal Matrices
Author(s): YANG Shengliang
Pages: 73-
82
Year: 2004
Issue:
1
Journal: JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION
Keyword: Pascal matrix; Pascal functional matrix; Jordan factorization;
Abstract: In this paper, two kinds of generalized Pascal matrices Pn,k, and Qn,k, and two kinds of generalized Pascal functional matrices On,k[x, y] and Qn,k[x, y] are introduced and studied. Factorization of Pascal matrices into products of (0,1) Jordan matrices is established. Factorizatiou of Pascal functional matrices into products of bidiagonal matrices is obtained.
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