Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (3): 378-382.

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A New Approach for Inverting the Pascal Matrix Plus a Scalar

  

  1. School of Sciences, Lanzhou University of Technology

  • Received:2008-03-03 Online:2011-09-30 Published:2023-04-19
  • About author: YANG Sheng-liang(1963-), male, native of Pingliang, Gansu, a professor of Lanzhou University of Technology, M.S.D., engages in algebraic combinatorics.
  • Supported by:
    Supported by the Natural Science Foundation of Gansu Province(1010RJZA049);

Abstract: In this paper, using the Jordan canonical form of the Pascal matrix Pn, we present a new approach for inverting the Pascal matrix plus a scalar Pn+aIn for arbitrary real number a≠1.

Key words: Pascal matrix, Stirling number, Stirling matrix, Jordan canonical form

CLC Number: