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This category marks all the ICTP posts containing the pdf file of the paper/book.

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

9 years ago

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

Optimal algorithms concerning the solving of equations by interpolation

9 years ago

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

Remarks on the secant method for the solution of nonlinear operator equations

9 years ago

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

9 years ago

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

9 years ago

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

9 years ago

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

9 years ago

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

9 years ago

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

9 years ago

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

9 years ago

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…

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