## Error estimation in numerical solution of equations and systems of equations

Abstract In \cite{7 Urabe}, \cite{8 Urabe} M. Urabe studies the numerical convergence and error estimation in the case of operatorial equation…

Abstract In \cite{7 Urabe}, \cite{8 Urabe} M. Urabe studies the numerical convergence and error estimation in the case of operatorial equation…

Abstract We consider optimality problems regarding the order of convergence of the iterative methods which are obtained by inverse interpolation…

Abstract We consider the equation \[F\left( x\right) =x-A\left( x\right)=0,\] where \(A\) is an operator from a Banach space \(X\) to…

Abstract We consider the computing of an eigenpair (an eigenvector \(v=(v^{(i)})_{i=1,n}\) and an eigenvalue \(\lambda\)) of a matrix \(A\in\mathbb{R}^{n\times n}\), by…

Abstract AuthorIon Păvăloiu KeywordsReferences[1] Balazs, M., A bilateral approximating method for finding the real roots of real equations. Rev. Anal.…

Abstract We study the approximation of an eigenpair (an eigenvalue and a corresponding eigenvector) of a a linear operator T from…

Abstract The inexact secant method \([x_{k-1},x_{k};F]s_{k}=-F(x_k) +r_k\), \( x_{k+1}=x_k+s_k\), \( k=1,2,\ldots\), \( x_0,x_1 \in {\mathbb R}^n\) for solving the nonlinear system…

Abstract Consider the nonlinear equations \(H(x):=F(x)+G(x)=0\), with \(F\) differentiable and \(G\) continuous, where \(F,G,H:X \rightarrow X\) are nonlinear operators and \(X\)…

Abstract Consider the nonlinear equation \(H(x):=F(x)+G(x)=0\), with \(F\) differentiable and \(G\) continuous, where \(F,G,H:X \rightarrow X\), \(X\) a Banach space. The…

Abstract We consider nonlinear equations in \(\mathbb{R}\), and a class of iterative methods obtained by inverse interpolation of Hermite type.…