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…
nonlinear equations in R
Inverse interpolating splines with applications to the equation solving
Abstract AuthorsCrăciun Iancu Tiberiu Popoviciu Institute of Numerical Analysis Romania Academy, Cluj-Napoca, Romania Tiberiu Oproiu Romanian Academy Astronomical Observatory Ion…
A note on the efficiency index of a class of two step Hermite iterative methods
Abstract One considers Hermite interpolatory methods, based on two interpolatory nodes which have the same multiplicity order. Duing the efficiency…
O metodă de tip Aitken-Steffensen-Hermite de ordinul 3
Abstract AuthorsIon Păvăloiu ”Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy Keywords? Paper coordinatesI. Păvăloiu, O metodă de tip Aitken-Steffensen-Hermite…
A new optimal method of order four of Hermite–Steffensen type
Abstract We introduce a new method for solving nonlinear equations in R, which uses three function evaluations at each step…
How many steps still left to x*?
We survey the convergence orders of sequences and show the orders of the basic iterative sequences for solving nonlinear equations…
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 computational complexity in solving equations by interpolation methods
Abstract AuthorsIon Păvăloiu (Tiberiu Popoviciu Institute of Numerical Analysis) KeywordsPDFScanned paper: on the journal website. Latex version of the…
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…