Totally positive polynomials with small length
Control and Cybernetics(2019)
摘要
In this work we provide a list of irreducible monic polynomials with integer coefficients and lengths below 2.3679 d for a degree d polynomial. Our approach combines techniques based on auxiliary functions and mixed-integer linear programming algorithms. The list obtained shows that there are polynomials of this type up to degree 16, with the exception of degree 11 where we are very close to the threshold.
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