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

Figure 27

Evolution of approximate solutions () associated with () compared to th iteration for Example 4 (where ) with NRA (black solid line with circles) and some other algorithms coupled with Gauss-Seidel (GS) procedure: SNA-GS (cyan solid line with circles) and AGA-GS with condition (blue solid line with circles), condition (red solid line with circles), and condition (magenta solid line with circles).