Summary

International Technical Conference on Circuits/Systems, Computers and Communications

2008

Session Number:G1

Session:

Number:G1-2

Recurrent Formula and Property of Generalized Pascal Matrix

Tian-Bo Deng,  Sorawat Chivapreecha,  Kobchai Dejhan,  

pp.-

Publication Date:2008/7/7

Online ISSN:2188-5079

DOI:10.34385/proc.39.G1-2

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Summary:
This paper derives a recurrence formula for recursively computing the inner elements of the generalized Pascal matrix from its boundary ones so that all the elements of the whole generalized Pascal matrix can be easily generated through utilizing their neighbourhood. We also reveal and prove an interesting property of the generalized Pascal matrix. Numerical examples are given to verify the recurrence formula and property.