IEEE

Inverse function theorem for polynomial equations using semidefinite programming

Abstract: This paper is concerned with obtaining the inverse of polynomial functions using semidefinite programming (SDP). Given a polynomial function and a nominal point at which the Jacobian of the ...
Nature

Bernstein Polynomial Estimation and Density Functions

Bernstein polynomial estimation provides a robust nonparametric technique for approximating both density and distribution functions. Based on the properties of Bernstein polynomials, which uniformly ...
IEEE

A convolution identification approach for systems with delayed and arbitrary entries via polynomial functions

Abstract: In this paper, an online delay identification method of continuous-time linear systems with unstructured inputs is proposed. This approach is based on a distributional algebraic technique ...
BBC

Solving polynomial equations Solving polynomials

We solve polynomials algebraically in order to determine the roots - where a curve cuts the \(x\)-axis. A root of a polynomial function, \(f(x)\), is a value for \(x\) for which \(f(x) = 0\).