A Simple Proof of C. Krattenthaler’s Matrix Inverse

ZHANG Yu-Sen; DING Ke-Quan

doi:10.7523/j.issn.2095-6134.2006.5.001

Journal of University of Chinese Academy of Sciences >

2006 , Vol. 23 >Issue 5: 577 - 580

DOI: https://doi.org/10.7523/j.issn.2095-6134.2006.5.001

论文

A Simple Proof of C. Krattenthaler’s Matrix Inverse

ZHANG Yu-Sen ,
DING Ke-Quan

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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 date: 1900-01-01

Revised date: 1900-01-01

Online published: 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

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ZHANG Yu-Sen , DING Ke-Quan . A Simple Proof of C. Krattenthaler’s Matrix Inverse[J]. Journal of University of Chinese Academy of Sciences, 2006 , 23(5) : 577 -580 . DOI: 10.7523/j.issn.2095-6134.2006.5.001

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