Research Article

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

Figure 32

Evolution of the approximation error using (C3V1) and (C3V2) conditions associated with () compared to th iteration for Example 4 (where ) with NRA (black solid line with squares) and some other algorithms coupled with Jacobi (J) procedure: SNA-J (cyan dashed line with squares) and AGA-J with condition (blue dashed line with squares), condition (red dashed line with squares), and condition (magenta dashed line with squares).