The cone of nonnegative polynomials with nonnegative coefficients and linear operators preserving this cone

• Autorzy: Olga Katkova , Anna Vishnyakova
• Języki publikacji: EN

Abstrakty

EN

Let be the cone of real univariate polynomials of degree ≤ 2n which are nonnegative on the real axis and have nonnegative coefficients. We describe the extremal rays of this convex cone and the class of linear operators, acting diagonally in the standard monomial basis, preserving this cone.

Słowa kluczowe

EN

Positive polynomials; Nonnegative polynomials; Nonnegative polynomials with nonnegative coefficients; Extremal rays of convex cone; Linear positivity preservers

Kategorie tematyczne

• 26C10: Polynomials: location of zeros
• 30C15: Zeros of polynomials, rational functions, and other analytic functions (e.g. zeros of functions with bounded Dirichlet integral)
• 11E25: Sums of squares and representations by other particular quadratic forms

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 5
• Strony: 752-760

Daty

wydano

2014-05-01

online

2014-02-15

Twórcy

autor

Olga Katkova

• Kharkov National University

autor

Anna Vishnyakova

• Kharkov National University

Bibliografia

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• [5] Katkova O.M., Vishnyakova A.M., Linear operators preserving the set of positive (nonnegative) polynomials, In: Positive Systems, Valencia, September 2–4, 2009, Lecture Notes in Control and Inform. Sci., 389, Springer, Berlin, 2009, 83–90
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Identyfikatory

DOI

10.2478/s11533-013-0380-z