Some remarks about Descartes' rule of signs
Classical Analysis and ODEs
2014-10-30 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1307.6842,
title = {Some remarks about Descartes' rule of signs},
author = {Alain Albouy and Yanning Fu},
journal= {arXiv preprint arXiv:1307.6842},
year = {2014}
}
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10 pages