Department of Material Science and Engineer, Southwest University of Science and Technology, Mianyang, China. Department of Mathematics, Southwest University of Science and Technology, Mianyang, China ...
Abstract: 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 ...
Abstract: Zeros, ${\mathbf x}[ {{{\mathbf k}},{{\mathbf N}}} ],{\mathrm{\ }}{{\mathbf k}}{\mathrm{\ }} = {\mathrm{\ }}1 \ldots {{\mathbf N}},$ of orthogonal ...
The goal of this paper is to obtain some comparison inequalities for a linear operator between polynomials in the plane. The polynomials under study have constraints on their zeros and the estimates ...
Differentiation is process of finding the derivative, or rate of change, of a function. Derivative itself is defined by the limit of function's change divided by the function's argument change as ...
Bernstein polynomial estimation provides a robust nonparametric technique for approximating both density and distribution functions. Based on the properties of Bernstein polynomials, which uniformly ...
The intentions is to have a library that is fast with the respect of the number of coefficients, as it leverages numpy's speed where possible. The Numpy library comes with numerous functions for ...
Illustration of a set of real zeros of a graph polynomial (middle) and two Feynman diagrams. Credit: Max Planck Institute for Mathematics in the Sciences How can the behavior of elementary particles ...