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This category marks all the ICTP posts containing the pdf file of the paper/book.

The convergence of certain iterative methods for solving certain operator equations

8 years ago

Abstract We consider the solving of the equation \[x=\lambda D\left( x\right)+y,\] where \(E\) is a Banach space and \(D:E\rightarrow E\), \(\lambda\in…

Solving equations with the aid of inverse rational interpolation functions

8 years ago

Abstract We study the convergence of an iterative method for solving the equation \(f\left( x\right) =0,\ f:A\rightarrow B\), \(A,B\subseteq \mathbb{R}\), \(f\)…

Solving equations by Hermite type inverse interpolation

8 years ago

Abstract We study the convergence of an iterative method for solving the equation (fleft( xright) =0, f:Isubseteq mathbb{Rrightarrow R}). The…

Solving equations with the aid of inverse interpolation spline functions

8 years ago

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

8 years ago

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 optimal iterative methods

8 years ago

Abstract Let \(\left( X,\rho \right)\) be a complete matrix space, the nonlinear mapping \(\varphi:I\subset X\rightarrow X\) and the equation \(x=\varphi…

Solving equations by interpolation

8 years ago

Abstract Let \(X,Y\) be normed spaces, \(G:X\rightarrow Y\) a nonlinear operator, and the nonlinar equation \(G\left( x\right) =0\). We define…

Solving the systems of operator equations by iterative methods

8 years ago

Abstract Let \(X,Y\) be two Banach spaces and \(Z=X\times Y\). We consider the system of nonlinear equations \[x=\varphi \left( x,y\right),\\…

On interpolation with connected polynomials

8 years ago

Abstract We consider a function \(f\in C^{n-1}[a,b]\) and the nodes \(a=x_{0}<x_{1}<\ldots<x_{m}=b\). Given the values \begin{align}f\left( x_{i}\right) =&u_{i}, \quad i=1,…,m \\…

Remarks on solving the systems of equations by iterative methods

8 years ago

Abstract In this paper we give a condition for the convergence of an iterative method of Gauss-Seidel type \[ x_i =…

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