High Efficient Iterative Methods with Scalar Parameter Coefficients for Systems of Nonlinear Equations
摘要
We establish the connection between two-step iterative methods with scalar and vector parameter coefficients. Based on this result, we propose five different three-step iterations with scalar parameters of order p = 6, p = 7, and p = 8. Numerical experiments confirm the theoretical results and show the high-efficiency of the proposed iterations. The proposed methods are compared with known methods with the same convergence order.