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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