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

Figure 13

Evolution of residue error using (C2V1) and (C2V2) conditions associated with () compared to th iteration for Example 3 (where ) with NRA (black solid line with diamonds) and some other algorithms coupled with Gauss-Seidel (GS) procedure: SNA-GS (cyan solid line with diamonds), TMNM-GS (green solid line with diamonds), and AGA-GS with condition (blue solid line with diamonds), condition (red solid line with diamonds), and condition [BC3] (magenta solid line with diamonds).