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Computation of canonical matrices for chains and cycles of linear mappings

โœ Scribed by Vladimir V. Sergeichuk


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
347 KB
Volume
376
Category
Article
ISSN
0024-3795

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โœ ALLAN STEEL ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 476 KB

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