Part I-Smith form and common divisor of polynomial matrices
作者:
I. S. PACE,
S. BARNETT,
期刊:
International Journal of Systems Science
(Taylor Available online 1974)
卷期:
Volume 5,
issue 5
页码: 403-411
ISSN:0020-7721
年代: 1974
DOI:10.1080/00207727408920109
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Polynomial matrices play an important part in linear system calculations. New computational procedures are given for calculation of the Smith normal form and the greatest common right divisor of polynomial matrices. It is shown how suitable transformation matrices can be determined for the calculation of the Smith normal form, and how a set of polynomial matrix multipliers can be calculated for the greatest common right divisor problem. Neither of these algorithms relies on explicit calculation of the greate3t common divisor of polynomials. Limited numerical experience has shown that the3e algorithms are both fast and accurate.
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