The multilinear forms, obtained by polarizing the coefficients of the characteristic polynomial of a matrix, are considered. A general relation (formula A) between such forms is proved. It follows in particular a rational expression for the above-mentioned coefficients (formula C), which is in a sense analogous to Newton's formulas, but with the use of the determinant function instead of the trace function.
@article{RLINA_1986_8_80_1-2_1_0,
author = {Renzo Mazzocco},
title = {Sulle forme polarizzanti i coefficienti del polinomio caratteristico di una matrice},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
volume = {80},
year = {1986},
pages = {1-5},
zbl = {0636.15020},
mrnumber = {0944364},
language = {it},
url = {http://dml.mathdoc.fr/item/RLINA_1986_8_80_1-2_1_0}
}
Mazzocco, Renzo. Sulle forme polarizzanti i coefficienti del polinomio caratteristico di una matrice. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 80 (1986) pp. 1-5. http://gdmltest.u-ga.fr/item/RLINA_1986_8_80_1-2_1_0/
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