A wide class of Combinatorial matrices related with Reciprocal Pascal and Super Catalan matrices

  • Emrah Kilic TOBB ETU
  • Helmut Prodinger University of Stellenbosch
Keywords: LU-decomposition, Inverse matrix, Zeilberger's algorithm

Abstract

In this paper, we present a number of combinatorial matrices that are generalizations or variants of the super Catalan matrix and the reciprocal Pascal matrix. We present explicit formulæ for LU-decompositions of all the matrices and their inverses. To prove the claimed results, we mainly use the celebrated Zeilberger algorithm.

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Published
2019-12-25
Section
Articles