Application of divided differences to the study of monotonicity of a sequence of D.D. Stancu polynomials
Abstract The paper is centered on the study of a class of linear positive operators of discrete type introduced in…
divided differences
On the monotonicity of a sequence of Stancu-Bernstein type operators
Abstract One makes a study of a sequence of Bernstein type operators, introduced and studied in [9]. These are depending…
An application of divided differences
Abstract By using the divided differences as fundamental mathematical tools we investigate the monotonicity property of a sequence of linear…
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 an Aitken-Steffensen-Newton type method
Abstract We consider an Aitken-Steffensen type method in which the nodes are controlled by Newton and two-step Newton iterations. We…
On an Aitken-Newton type method
Abstract We study the solving of nonlinear equations by an iterative method of Aitken type, which has the interpolation nodes…
On a Newton-Steffensen type method
Abstract In this paper we study the convergence of a Newton-Steffensen type method for solving nonlinear equations in R, introduced by…
On a robust Aitken-Newton method based on the Hermite polynomial
Abstract We introduce an Aitken–Newton iterative method for nonlinear equations, which is obtained by using the Hermite inverse interpolation polynomial…
Bilateral approximations for some Aitken-Steffensen-Hermite type methods of order three
Abstract We study the local convergence of some Aitken–Steffensen–Hermite type methods of order three. We obtain that under some reasonable…
On a Steffensen-Hermite method of order three
Abstract In this paper we study a third order Steffensen type method obtained by controlling the interpolation nodes in the…