A New Accurate and Efficient Iterative Numerical Method for Solving the Scalar and Vector Nonlinear Equations: Approach Based on Geometric Considerations

Figure 20

Evolution of approximation error for (C3V1) and (C3V2) conditions associated with () compared to th iteration for Example 3 (where ) with NRA (black line) and some other algorithms coupled with Gauss-Seidel (GS) and Jacobi (J) procedures: SNA-GS/SNA-J (cyan line) and AGA-GS/AGA-J with condition (blue line), condition (red line), and condition (magenta line).