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Some remarks about Descartes’ rule of signs

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1307.6842v1.pdf (230.7Kb)
Date
2014
Dewey
Analyse
Sujet
Descartes’ rule of signs
Journal issue
Elemente der Mathematik
Volume
69
Number
4
Publication date
10-2014
Article pages
186 - 194
DOI
http://dx.doi.org/10.4171/EM/262
URI
https://basepub.dauphine.fr/handle/123456789/17329
Collections
  • CEREMADE : Publications
Metadata
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Author
Fu, Ying
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Type
Article accepté pour publication ou publié
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.

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