In this note we mainly study the fine Jordan–Chevalley decomposition: a refinement of the classical Jordan–Chevalley decomposition of a matrix and we pay a particular attention to the field of the coefficients of the matrix. Moreover we obtain some further additive and multiplicative decompositions of a matrix under suitable conditions.
Some remarks on the Jordan–Chevalley decomposition / Alberto, Dolcetti; Donato, Pertici. - In: SÃO PAULO JOURNAL OF MATHEMATICAL SCIENCES. - ISSN 1982-6907. - ELETTRONICO. - 11:(2017), pp. 385-404. [10.1007/s40863-017-0076-6]
Some remarks on the Jordan–Chevalley decomposition
Alberto, Dolcetti;Donato, Pertici
2017
Abstract
In this note we mainly study the fine Jordan–Chevalley decomposition: a refinement of the classical Jordan–Chevalley decomposition of a matrix and we pay a particular attention to the field of the coefficients of the matrix. Moreover we obtain some further additive and multiplicative decompositions of a matrix under suitable conditions.
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