Geodesic
Generalized Jordan Matrix of a Linear Operator
Matematičeskie zametki, Tome 82 (2007) no. 1, pp. 27-35 Cet article a éte moissonné depuis la source Math-Net.Ru

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For any linear operator defined over an arbitrary field $\mathbf k$, there is a basis in which this matrix is a generalized Jordan matrix (of the second kind) with elements in the field $\mathbf k$. For any linear operator, such a matrix is defined uniquely up to permutation of diagonal blocks.
Keywords: linear operator over a field, generalized Jordan matrix, algebraically closed field, companion matrix, block-diagonal matrix, splitting field.
Mots-clés : Jordan normal form, Jordan cell 
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S. G. Dalalyan. Generalized Jordan Matrix of a Linear Operator. Matematičeskie zametki, Tome 82 (2007) no. 1, pp. 27-35. http://geodesic.mathdoc.fr/item/MZM_2007_82_1_a3/

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