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…
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On a generalization of the Steffensen method
Abstract We extend the Steffensen method for solving the equation f\left( x\right)=0 to the setting of the Banach spaces, \(f:X\rightarrow…
Remarks on the secant method for the solution of nonlinear operator equations
Abstract Let X_{1},X_{2} be two Banach spaces and f:X_{1}\rightarrow X_{2} a nonlinear equation. We study the chord method for solving…
On the convergency of a Steffensen-type method
Abstract Let X_{1},X_{2} be two Banach spaces, f:X_{1}\rightarrow X_{2} a nonlinear mapping. We study the convergence of the Steffensen method for…
On the chord method
Abstract Let X_{1},X_{2} be two Banach spaces, f:X_{1}\rightarrow X_{2} a nonlinear mapping and consider the chord method for solving the…
On a Steffensen type method for solving nonlinear operator equations
Abstract Let X be a Banach space, Y a normed space and the nonlinear operator equation P\left( x\right) =0, where…
On approximating the solutions of equations in metric spaces
Abstract Let \left( X,\rho \right) be a complete metric space, f:X\rightarrow X a nonlinear mapping. In order to solve the…
Error estimations in the numerical solving of the systems of equations
Abstract Let \left( x_{i},\rho_{i}\right) ,\ i=1,2, be two complete metric space and F_{1}:X_{1}\times X_{2}\rightarrow X_{1},\ F_{2}:X_{1}\times X_{2}\rightarrow X_{2} two nonlinear…
An algorithm in the solving of equations by interpolation
Abstract Consider the nonlinear equation in R, f\left( x\right) =0, where f:A\rightarrow B , (A,B\subseteq \mathbb{R}) which is assumed bijective. The Lagrange…
Error estimations in the numerical solving of systems of equations in metric spaces
Abstract Let X_{1},X_{2} be two complete metric spaces, X=X_{1}\times X_{2} and the nonlinear mappings F_{1}:X\rightarrow X_{1},\ F_{2}:X\rightarrow X_{2}. In order…