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

Figure 15

Evolution of the approximation error using (C3V1) and (C3V2) conditions associated with () compared to th iteration for Example 3 (where ) with NRA (black solid line with squares) and some other algorithms coupled with Gauss-Seidel (GS) procedure: SNA-GS (cyan solid line with squares), TMNM-GS (green solid line with squares), and AGA-GS with condition (blue solid line with squares), condition (red solid line with squares), and condition (magenta solid line with squares).