# paper

Papers published at ICTP.

The papers published by the ICTP members before or after being ICTP members are categorized as not@ictp.

## Solving equations with the aid of inverse interpolation spline functions

Abstract We consider the solving of a nonlinear equation in $$\mathbb{R}$$. We construct a spline function which approximates the nonlinear…

## Optimal Steffensen type iterative methods obtained by inverse interpolation

Abstract Let $$f:I\subset \mathbb{R\rightarrow R}$$ be a nonlinear mapping and the equation $$f\left( x\right) =0$$ with solution $$x^{\ast}$$; consider the…

## On some iterative methods for solving nonlinear operator equations

Abstract Let $$X,Y$$ be two Banach spaces and $$P:X\rightarrow Y$$ a nonlinear operator. For solving the equation $$P\left( x\right) =0$$…

## On some iterative methods for solving operator equations

Abstract Let $$X,Y$$ be two Banach spaces and $$P:X\rightarrow Y$$ a nonlinear operator. We study the semilocal convergence of the…

## Error estimation in the numerical solving of operator equations

Abstract Let $$X$$ be a Banach space and $$\varphi:X\rightarrow X$$ a nonlinear operator. Assume the equation $$x=\varphi \left( x\right)$$ has…