Abstract
For a complex polynomial and for a rational number p, we consider the Schur stability problem of the pth Hadamard power of f We show that there exist two numbers such that is Schur stable for every and is not Schur stable for (or vice versa, depending on f). Also, we give simple sufficient conditions for the Schur stability of the Hadamard product of two complex polynomials. Numerical examples complete and illustrate the results.
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