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Pseudo-lossless functions with application to the problem of locating the zeros of a polynomial

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3 Author(s)

This paper contains an investigation of the class of pseudolossless rational functions F(p) = N(p)/D(p) , which are characterized by the property \Re F(p) = 0 for \Re p = 0 . The index of such a function, counting the zeros of the polynomial N(p)+ D(p) in the right half-plane \Re p > 0 , enjoys some very useful decomposition properties. It is shown how an appropriate index theory of pseudo-lossless functions provides a framework in which the most classical results concerning the problem of locating the zeros of a polynomial can be unified, simplified, and generalized.

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Circuits and Systems, IEEE Transactions on  (Volume:32 ,  Issue: 4 )