Considerations regarding the iterative methods obtained by inverse interpolation
Abstract Let \(X,Y\) be two normed spaces and \(P:X\rightarrow Y\) a nonlinear operator. We consider the generalized inverse interpolation polynomial and…
works
On iterated operators
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
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
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 \\…
Introduction to the theory of approximating the solutions of equations
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
Abstract In this paper we give a condition for the convergence of an iterative method of Gauss-Seidel type \[ x_i =…
Ergodic Estimations of Upscaled Coefficients for Diffusion in Random Velocity Fields
AbstractUpscaled coefficients for diffusion in ergodic velocity fields are derived by summing up correlations of increments of the position process,…
Eminescu. Viaţa unui om singular
C. Vamoş, D. Vamoş, Eminescu. Viaţa unui om singular, Risoprint, Cluj-Napoca, 2008, 361 pp, ISBN 978-973-751-759-3 (in Romanian; English title: Eminescu. Life and…