This note gives necessary and sufficient conditions for all the zeros of a single-variable polynomial with real coefficients to be real and distinct. Journal Information The Monthly publishes articles ...

In this paper, we present an algorithm using the GPGPU machine to compute the interval solutions of isolated real zeros of multivariate polynomial functions in given ranges. To overcome the state ...

We show that certain sums of products of Hermite-Biehler entire functions have only real zeros, extending results of Cardon. As applications of this theorem, we construct sums of exponential functions ...

Abstract Polynomial functions containing terms with non-integer powers are studied to disclose possible approaches for obtaining their roots as well as employing them for curve-fitting purposes.

The realization possibilities of the third-order high-pass transfer functions with the real zeroes are discussed. The filter structure consists the CR ladder network with only one operational ...