on the zeros of convex combinations of polynomials - Project Euclid
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on the zeros of convex combinations of polynomials - Project Euclid
PACIFIC JOURNAL OF MATHEMATICS Vol. 89, No. 1, 1980
ON THE ZEROS OF CONVEX COMBINATIONS OF POLYNOMIALS H. J. FELL Given monic nth degree polynomials P0(z) and Px{z), let PA(Z) = (1 - Λ)P0(z)+ΛPί(z). If the zeros of Po and P, all lie in a circle ^ or on a line L, necessary and sufficient conditions are given for the zeros of PA (0
