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On the iterative methods with high convergence orders

8 years ago

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

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 =…

Multiscale structure of time series revealed by the monotony spectrum

8 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

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

On the iterative methods with high convergence orders

Solving the systems of operator equations by iterative methods

On interpolation with connected polynomials

Remarks on solving the systems of equations by iterative methods

Multiscale structure of time series revealed by the monotony spectrum

On an Aitken type method