## Remarks on some Newton and Chebyshev-type methods for approximation eigenvalues and eigenvectors of matrices

Abstract We consider a square matrix \(A\) with real or complex elements. We denote \(\mathbb{K}=\mathbb{R}\) or \(\mathbb{C}\) and we are…

Abstract We consider a square matrix \(A\) with real or complex elements. We denote \(\mathbb{K}=\mathbb{R}\) or \(\mathbb{C}\) and we are…

Abstract In this paper we approach two aspects concerning the optimality problems arising from the consideration of the iterative methods for…

Abstract Let \(X\) be a Banach space and \(\varphi:X\rightarrow X\) a nonlinear operator. Assume the equation \(x=\varphi \left( x\right)\) has…

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

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

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 \\…

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

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

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