Solving robot IK by finding zeros of a polynomial, from "IK-Geo: Unified Robot Inverse Kinematics Using Subproblem Decomposition" and "Redundancy parameterization and inverse kinematics of 7-DOF ...

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 ...

In this paper, an algebraic method which is based on the groebner bases theory is proposed to solve the polynomial functions conditional extreme. Firstly, we describe how to solve conditional extreme ...

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 ...

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 ...

Bulletin mathématique de la Société des Sciences Mathématiques de Roumanie, Nouvelle Série, Vol. 54 (102), No. 2 (2011), pp. 185-191 (7 pages) Subdivision and subdivision/iterative hybrid methods for ...

The ability to find the zeros or roots of a function is an essential skill in mathematics as it helps in understanding the behavior of functions, solving equations, and graphing. With the help of a ...

Polynomials and power functions are the foundation for modelling non-linear relationships. Polynomial functions such as quadratic, cubic and quartic model variables raised to exponents of different ...

This repository provides three Python files that work together to solve problems related to function interpolation and estimating error bounds. $$\textbf{Lagrange ...

Abstract: We propose using (bilinear) sum-of-squares programming for obtaining inner bounds of RoAs for dynamical systems with polynomial vector fields. We search for polynomial as well as composite ...