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›› 2006, Vol. 23 ›› Issue (5): 577-580.DOI: 10.7523/j.issn.2095-6134.2006.5.001

• 论文 •     Next Articles

A Simple Proof of C. Krattenthaler’s Matrix Inverse

ZHANG Yu-Sen, DING Ke-Quan   

  1. 1 Department of Mathematics, Graduate School of the Chinese Academy of Sciences
    Beijing 100049,China
    2 School of Information and Engineering, Shandong University at Weihai
    Weihai 264209, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2006-09-15

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Abstract: In 1996, C. Krattenthaler obtained a general matrix inversions which unified most matrix
inversions, and it was applied to derive a number of summation formulas of hypergeometric type. Here
we give a elementary proof of it.

Key words: Matrix inversion, inverse series relations, summation formula

CLC Number: 

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