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 …

In this paper, we introduce a new family of efficient and optimal iterative methods for finding
multiple roots of nonlinear equations with known multiplicity (m≥ 1). We use the weight …

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 …

In this study, we introduce a novel weight function-based eighth order derivative-free method
for locating repeated roots of nonlinear equations. It is a three-step Steffensen-type scheme …

In this manuscript, we present a new general family of optimal iterative methods for finding
multiple roots of nonlinear equations with known multiplicity using weight functions. An …

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 …

There have appeared in the literature a lot of optimal eighth-order iterative methods for
approximating simple zeros of nonlinear functions. Although, the similar ideas can be …

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 …

We present a new family of optimal eighth-order numerical methods for finding the multiple
zeros of nonlinear functions. The methodology used for constructing the iterative scheme is …

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 …