Links and Differences Among Wilkinson Iteration Refinement, Newton Iteration, and Zhang Neural Dynamics for Linear Equation System Solving

Solving linear equation system is not only a very important topic in theoretical research, but also a practical issue often encountered in engineering. This paper introduces the use of Wilkinson iteration refinement, Newton iteration, and Zhang neural dynamics (ZND) models to solve linear equation system. Links and differences among Wilkinson iteration refinement, Newton iteration, and ZND models in solving static linear equation system are found. Besides, the angles of arrival (AoA) positioning technique is utilized. The AoA technique is combined with the above models as an application of solving linear equation system. Through the numerical solving processes of static and time-varying equation system, links and differences among the above three methods are shown further.