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. 
@article{IVM_2011_5_a10,
     author = {S. H. Dalalyan},
     title = {Generalized {Jordan} normal forms of a~finite-dimensional linear operator},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {80--83},
     publisher = {mathdoc},
     number = {5},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_5_a10/}
}
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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/