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On Descartes' rules of signs and their exactness
Author(s) -
Peña J. M.
Publication year - 2005
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310335
Subject(s) - mathematics , polynomial , basis (linear algebra) , pure mathematics , algebra over a field , calculus (dental) , mathematical analysis , geometry , dentistry , medicine
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)
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