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

On iterated operators

9 years ago

Abstract Let \(X,Y\) be normed spaces and \(F:X\rightarrow Y\) a nonlinear operator. Let \(Q:X\rightarrow X.\) We study the convergence orders of…

On the iterative methods with high convergence orders

9 years ago

Abstract Let \(X\) be a Banach space and \(Y\) a normed space, and \(P:X\rightarrow Y\) a nonlinear operator. In order…

Interpolation in linear normed spaces and applications

9 years ago

Abstract Let \(X,Y\) be two normed spaces and \(P:X\rightarrow Y\) a nonlinear operator. We construct the Lagrange interpolation operator for…

Solving the systems of operator equations by iterative methods

9 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

9 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 \\…

Introduction to the theory of approximating the solutions of equations

9 years ago

Book summaryTo be completed. AuthorIon Păvăloiu Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy TitleOriginal title (in Romanian) Introducere în…

Remarks on solving the systems of equations by iterative methods

9 years ago

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

Multiscale structure of time series revealed by the monotony spectrum

9 years ago

AbstractObservation of complex systems produces time series with specific dynamics at different time scales. The majority of the existing numerical…

On an Aitken type method

19 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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