Geodesic
Generalized Jordan normal forms of a~finite-dimensional linear operator
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2011), pp. 80-83.

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We define the Mal'tsev representation of a linear operator on a finite-dimensional linear space and establish the necessary and sufficient conditions for its existence. We obtain a second step generalization of theorems on generalized Jordan normal forms of the first and second kinds.
Keywords: generalized Jordan normal form, finite-dimensional linear operator, characteristic polynomial, companion matrix, second step generalization. 
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S. H. Dalalyan. Generalized Jordan normal forms of a~finite-dimensional linear operator. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2011), pp. 80-83. http://geodesic.mathdoc.fr/item/IVM_2011_5_a10/

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