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Table 3 Simultaneous finding of all roots of \(f_{4}(x)\)

From: On iterative techniques for estimating all roots of nonlinear equation and its system with application in differential equation

\(f_{4}(x)= \frac{x^{3}+2.87x^{2}-10.28}{4.62}-x\), \(\alpha =\frac{-1}{100{,}000}\).
\(\zeta _{1}=2.0021\), \(\zeta _{2}=-3.3304\), \(\zeta _{3}=-1.5417\).
\(\overset{(0)}{x_{1,2}} =2.5\), \(\overset{ (0)}{x_{3}} =-7.4641\), \(\overset{(0)}{x}_{4}=-0.5359\)
Method CO CPU γ n e1 e2 e3
ZPH 5 0.015 γ = 1 5 1.2e−2 1.1e−1 1.2e−2
SM1 5 0.015 γ = 1 5 8.8e−35 1.9e−32 6.4e−32