Pseudo-lossless functions with application to the problem of locating the zeros of a polynomial
P. Delsarte, Yves V. Genin, Yves Kamp · IEEE Transactions on Circuits and Systems · 1985
This paper contains an investigation of the class of pseudolossless rational functionsF(p) = N(p)/D(p), which are characterized by the property\Re F(p) = 0for\Re p = 0. The index of such a function, counting the zeros of the polynomialN(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.