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Jordan canonical forms of matrices over quaternion field

โœ Scribed by Chen Longxuan; Hou Renmin; Wang Liangtao


Publisher
Springer
Year
1996
Tongue
English
Weight
410 KB
Volume
17
Category
Article
ISSN
0253-4827

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โœฆ Synopsis


JORDAN CANONICAL FORMS OF MATRICES OVER QUATERNION FIELD'*

Chen Longxuan (l~,)~.~) ~ Hot! Renrnin ({~{_~)' Wang Liangtao (.T:.;)~)' (.Received March 3 I, 1995, Revised Nov. 24, i995; Communicated by Chien Weizang)


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A new algorithm is presented for the computation of canonical forms of matrices over fields. These are the Primary Rational, Rational, and Jordan canonical forms. The algorithm works by obtaining a decomposition of the vector space acted on by the given matrix into primary cyclic spaces (spaces whos