## Interpolation in linear normed spaces and applications

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

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

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

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

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

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