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On the computation of the inverse of a rational matrix via expansions†

 

作者: J. VANDEWALLE,   J.VAN DAELE,  

 

期刊: International Journal of Control  (Taylor Available online 1980)
卷期: Volume 31, issue 1  

页码: 95-107

 

ISSN:0020-7179

 

年代: 1980

 

DOI:10.1080/00207178008961031

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

Adapting Silverman's structure algorithm a general, efficient and recursive algorithm is given for the following problem. Given the Laurent expansion at α of a non-singular rational matrixA(p), compute the Laurent expansion of the inverseA(p)−1at α. The use of this algorithm in the inversion of rational and polynomial matrices and in particular the computation of the partial fraction expansion of the inverse are discussed.

 

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