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An extension of descartes' rule of signs

✍ Scribed by D. R. Curtiss

Book ID
105205138
Publisher
Springer
Year
1913
Tongue
English
Weight
585 KB
Volume
73
Category
Article
ISSN
0025-5831

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πŸ“œ SIMILAR VOLUMES

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A system of functions satisfies Descartes' rule of signs if the number of zeros (with multiplicities) of a linear combination of these functions is less than or equal to the number of variations of strict sign in the sequence of the coefficients. In this paper we characterize the systems of function

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✍ J. M. PeΓ±a πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 143 KB

## 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. (Β© 2005 WILEY