Generalized diagonalization of matrices over quaternion field (Q1970118)
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scientific article; zbMATH DE number 1417793
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized diagonalization of matrices over quaternion field |
scientific article; zbMATH DE number 1417793 |
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Generalized diagonalization of matrices over quaternion field (English)
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5 February 2001
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Let \(\pi\in S_n\) be a permutation and let \(P\) be the corresponding permutation matrix. A permutation diagonal matrix is one of the form \(PD\) with \(D\) a diagonal matrix. The authors classify all matrices over the quaternions that are similar to a permutation diagonal matrix in terms of their possible Jordan normal forms.
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matrices over quaternion field
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permutation diagonal matrix
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quaternion algebra
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Jordan normal forms
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