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

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 =…

On an Aitken type method

18 years ago

Abstract In this note we study the convergence of a generalized Aitken type method for approximating the solutions of nonlinear…

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Related Posts

Solving equations by interpolation

Solving the systems of operator equations by iterative methods

On interpolation with connected polynomials

Remarks on solving the systems of equations by iterative methods

On an Aitken type method