A new algorithm for the computation of canonical forms of matrices over fields (Q1369800)
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scientific article; zbMATH DE number 1077122
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new algorithm for the computation of canonical forms of matrices over fields |
scientific article; zbMATH DE number 1077122 |
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A new algorithm for the computation of canonical forms of matrices over fields (English)
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2 April 1998
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The author introduces a new algorithm for computing canonical forms of matrices over fields. In particular, primary rational, rational, and Jordan canonical forms are considered. The method is based on a decomposition of the vector space acted on by the given matrix into primary cyclic spaces. An efficient implementation is incorporated in the MAGMA computer algebra system.
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algebraic computation
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MAGMA computer algebra system
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rational canonical forms
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cyclic space decomposition
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algorithm
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matrices over fields
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Jordan canonical forms
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