Note: Jordan canonical form of Pascal-type matrices via sequences of binomial type

  • Authors:

  • Sheng-liang Yang

  • Affiliations:

  • Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, 730050, Gansu, PR China

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2008

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Abstract

In this paper, we study the Jordan canonical form of the generalized Pascal functional matrix associated with a sequence of binomial type, and demonstrate that the transition matrix between the generalized Pascal functional matrix and its Jordan canonical form is the iteration matrix associated with the binomial sequence. In addition, some combinatorial identities are derived from the corresponding matrix factorization.