Many optimal order multiple root techniques involving derivatives have been proposed in
literature. On the contrary, optimal order multiple root techniques without derivatives are …

In this manuscript, we introduce the higher-order optimal derivative-free family of Chebyshev–
Halley's iterative technique to solve the nonlinear equation having the multiple roots. The …

We developed a new family of optimal eighth-order derivative-free iterative methods for
finding simple roots of nonlinear equations based on King's scheme and Lagrange …

In this contribution, a novel eighth-order scheme is presented for solving nonlinear
equations with multiple roots. The proposed scheme comprises of three steps with the …

A number of higher order iterative methods with derivative evaluations are developed in
literature for computing multiple zeros. However, higher order methods without derivative for …

Many optimal order multiple root techniques, which use derivatives in the algorithm, have
been proposed in literature. But contrarily, derivative free optimal order techniques for …

Finding a repeated zero for a nonlinear equation f (x)= 0, f: I⊆ R→ R has always been of
much interest and attention due to its wide applications in many fields of science and …

Numerous branches of applied science and engineering commonly encounter nonlinear
equations that must be solved using effective numerical techniques. This research article …

A number of higher order Newton-like methods (ie the methods requiring both function and
derivative evaluations) are available in literature for multiple zeros of a nonlinear function …

In recent times, some optimal eighth order iterative methods for computing multiple zeros of
nonlinear functions have been appeared in literature. Different from these existing optimal …