On Descartes' rules of signs and their exactness

DOI10.1002/mana.200310335zbMath1093.26009OpenAlexW2090032510MaRDI QIDQ5717786

Juan Manuel Peña

Publication date: 10 January 2006

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200310335

zbMATH Keywords

polynomialstotal positivityDescartes' rule of signsvariation diminishing

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: location of zeros (26C10)

Related Items (3)

Shape preserving properties of generalized Bernstein operators on extended Chebyshev spaces ⋮ A generalization of Descartes rule of signs and fundamental theorem of algebra ⋮ Bernstein operators for extended Chebyshev systems

Cites Work

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• A note on multiply positive sequences and the Descartes rule of signs

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