On the analogue of the Chebyshev method and the method of tangent hyperbolas
Abstract AuthorsB. Janko Institutul de Calcul Keywords? Paper coordinatesB. Jankó, Sur l’analogue de la méthode de Tchebycheff et de la méthode…
Chebyshev method
On the analogue of the Chebysheff method and the method of tangent hyperbolas for the approximate solution of nonlinear functional equations
Abstract AuthorsB. Janko Institutul d eCalcul Keywords? Paper coordinatesB. Jankó, Sur l’analogue de la méthode de Tchébycheff et de la méthode…
Methods of Newton and Newton-Krylov type
Book summaryLocal convergence results on Newton-type methods for nonlinear systems of equations are studied. Solving of large linear systems by…
On a third order iterative method for solving polynomial operator equations
Abstract We present a semilocal convergence result for a Newton-type method applied to a polynomial operator equation of degree (2).…
On the Chebyshev method for approximating the eigenvalues of linear operators
Abstract We study the approximation of an eigenpair (an eigenvalue and a corresponding eigenvector) of a a linear operator T from…
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…
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…