Figure 1From: On iterative techniques for estimating all roots of nonlinear equation and its system with application in differential equationFigure 1(a), (e), (g), (i), (k), (m), (o) shows basins of attraction of iterative methods Q1, E1–E6 for the nonlinear function \(f_{1}(x)=x^{4}-ix^{2}+1\) using \(\vert x^{(k+1)}\text{-}x^{(k)} \vert <10^{-3}\). Figure 1(b), (f), (h), (j), (l), (n), (p) shows basins of attraction of iterative methods Q1, E1–E6 using \(\vert f(x^{(k)}) \vert <10^{-3}\). Figure 1(c), (d) shows the basin of attraction for \(\alpha =-0.000001\). In Fig. 1(a)–(p), brightness of color in basins of Q1 shows a lower number of iterations for convergence of iterative methods as compared to methods E1–E6.Back to article page