Approximation of the roots of equations by Aitken-Steffensen-type monotonic sequences8 years agoAbstract We study the conditions under which the well-known Aitken-Steffensen method for solving equations leads to monotonic sequences whose terms…
On some Steffensen-type iterative methods for a class of nonlinear equations8 years agoAbstract Consider the nonlinear equations \(H(x):=F(x)+G(x)=0\), with \(F\) differentiable and \(G\) continuous, where \(F,G,H:X \rightarrow X\) are nonlinear operators and \(X\)…