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On Descartes' rules of signs and their exactness |
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| Authors: | J. M. Pe a |
| Abstract: | This paper revisits the Descartes' rules of signs and provides new bounds for the number of complex roots of a polynomial in certain complex regions. We also prove that the Descartes' rules associated with the Bernstein basis are exact for polynomials whose roots are real. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
| Keywords: | Descartes' rule of signs total positivity variation diminishing |