Overdetermined Strata in General Families of Polynomials
Kostov, Vladimir (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 12D10. In the paper we give different examples of overdetermined strata.
Kostov, Vladimir (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 12D10. In the paper we give different examples of overdetermined strata.
Kostov, Vladimir (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 12D10. We prove that all arrangements (consistent with the Rolle theorem and some other natural restrictions) of the real roots of a real polynomial and of its s-th derivative are realized by real polynomials.
Soliman Alkhatib, Vladimir Petrov Kostov (2008)
Revista Matemática Complutense
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Kostov, Vladimir (1999)
Serdica Mathematical Journal
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∗ Partially supported by INTAS grant 97-1644 We consider the polynomial Pn = x^n + a1 x^(n−1) + · · · + an , ai ∈ R. We represent by figures the projections on Oa1 . . . ak , k ≤ 6, of its hyperbolicity domain Π = {a ∈ Rn | all roots of Pn are real}. The set Π and its projections Πk in the spaces Oa1 . . . ak , k ≤ n, have the structure of stratified manifolds, the strata being defined by the multiplicity vectors. It is known that for k > 2 every non-empty fibre of the...
James Joseph Sylvester
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Yann Bugeaud, Andrej Dujella (2014)
Acta Arithmetica
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We construct parametric families of (monic) reducible polynomials having two roots very close to each other.
Gallardo, Luis H. (2006)
Applied Mathematics E-Notes [electronic only]
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J. Cohn (1977)
Acta Arithmetica
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Miloš Kössler (1951)
Czechoslovak Mathematical Journal
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