Some remarks about Descartes’ rule of signs
Albouy, Alain; Fu, Yanning (2014), Some remarks about Descartes’ rule of signs, Elemente der Mathematik, 69, 4, p. 186-194. http://dx.doi.org/10.4171/EM/262
TypeArticle accepté pour publication ou publié
External document linkhttps://hal.archives-ouvertes.fr/hal-00854254
Journal nameElemente der Mathematik
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Abstract (EN)What can we deduce about the roots of a real polynomial in one variable by simply considering the signs of its coefficients? On one hand, we give a complete answer concerning the positive roots, by proposing a statement of Descartes' rule of signs which strengthens the available ones while remaining as elementary and concise as the original. On the other hand, we provide new kinds of restrictions on the combined numbers of positive and negative roots.
Subjects / KeywordsDescartes' rule of signs
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