There are many practical issues arising from designing and implementing a polynomial root
finder. If you look into this, you will discover that there exist many different methods for how …

In this paper, the forward kinematics of a parallel manipulator with three revolute-prismatic-
spherical (3RPS) is analyzed utilizing a fast Homotopy Continuation Method which …

The direct kinematics analysis is the foundation of implementation of real world application
of parallel manipulators. For most parallel manipulators the direct kinematics is challenging …

It is known that the Halley method will diverge if an initial value is not properly chosen, while
the homotopy continuation method (HCM) is a global method that is not sensitive to the …

The solution to a nonlinear equation is found in this study by combining a classical and a
powerful method. Basically, it is well known that the homotopy continuation method (HCM) is …

Homotopy continuation methods (HCMs) can be used to find the solutions of polynomial
equations. The advantages of HCMs over classical methods such as the Newton and …

This article explains the development of a tool (application) to solve nonlinear algebraic
equations systems (NAES). Systems of nonlinear equations are usually complex and can …

In this paper, the forward kinematics of a parallel manipulator with three revolute-prismatic-
spherical (3RPS), is analyzed using a combination of a numerical method with semi …

Homotopy function is used in conjunction with homotopy continuation methods (HCM) and a
classical numerical method to approximate the roots of nonlinear algebraic equations …

Homotopy continuation methods (HCMs) are now widely used to find the roots of polynomial
equations as well as transcendental equations. HCM can be used to solve the divergence …