A sufficient condition for a polynomial to be stable |
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| Authors: | Olga M Katkova |
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| Institution: | Department of Mathematics, Kharkov National University, Svobody sq. 4, 61077 Kharkov, Ukraine |
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| Abstract: | A real polynomial is called Hurwitz (stable) if all its zeros have negative real parts. For a given n∈N we find the smallest possible constant dn>0 such that if the coefficients of F(z)=a0+a1z+?+anzn are positive and satisfy the inequalities akak+1>dnak−1ak+2 for k=1,2,…,n−2, then F(z) is Hurwitz. |
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| Keywords: | Hurwitz polynomial Stable polynomial Location of zeros of real polynomial |
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