Sulle forme polarizzanti i coefficienti del polinomio caratteristico di una matrice

Renzo Mazzocco

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1986)

  • Volume: 80, Issue: 1-2, page 1-5
  • ISSN: 1120-6330

Abstract

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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.

How to cite

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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 Lincei. Matematica e Applicazioni 80.1-2 (1986): 1-5. <http://eudml.org/doc/287353>.

@article{Mazzocco1986,
author = {Mazzocco, Renzo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {multilinear forms; characteristic polynomial; Newton's formulas; determinant function; trace function},
language = {ita},
month = {1},
number = {1-2},
pages = {1-5},
publisher = {Accademia Nazionale dei Lincei},
title = {Sulle forme polarizzanti i coefficienti del polinomio caratteristico di una matrice},
url = {http://eudml.org/doc/287353},
volume = {80},
year = {1986},
}

TY - JOUR
AU - Mazzocco, Renzo
TI - Sulle forme polarizzanti i coefficienti del polinomio caratteristico di una matrice
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1986/1//
PB - Accademia Nazionale dei Lincei
VL - 80
IS - 1-2
SP - 1
EP - 5
LA - ita
KW - multilinear forms; characteristic polynomial; Newton's formulas; determinant function; trace function
UR - http://eudml.org/doc/287353
ER -

References

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  1. BOTT, R. and CHERN, S.S. (1965) - Hermitian vector bundles and the equidistribution of the zeroes of their holomorfic sections, «Acta mathematica», 114, 71-112. Zbl0148.31906MR185607
  2. HOHN, F.E. (1973) - Elementary matrix algebra, The Macmillan Company, New York. Zbl0086.01303MR349697
  3. KOBAYASHI, S. and NOMIZU, K. (1969) - Foundations of differential geometry, vol. II, Interscience Publishers, New York. Zbl0119.37502MR238225
  4. ROWEN, L.H. (1980) - Polinomial identities in ring theory, Academic Press, New York. Zbl0461.16001MR576061
  5. SHAW, R. (1983) - Linear algebra and group representations, vol. II, Academic Press Inc., London. Zbl0495.15002MR701854

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