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…
Steffenssen methods
On computational complexity in solving equations by Steffensen type methods
Abstract AuthorsIon Păvăloiu Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy Keywordsnonlinear equations in R; iterative methods; Steffensen method.…
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 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…
On a Steffensen type method
Abstract We study a general Steffensen type method based on the inverse interpolation Lagrange polynomial of second degree. We show…
On some Steffensen-type iterative methods for a class of nonlinear equations
Abstract Consider the nonlinear equations \(H(x):=F(x)+G(x)=0\), with \(F\) differentiable and \(G\) continuous, where \(F,G,H:X \rightarrow X\) are nonlinear operators and \(X\)…
On some interpolatory iterative methods for the second degree polynomial operators (I)
Abstract In this note we consider the chord (secant) method and the Steffensen method for solving polynomial operators of degree…
Publications
Testing Bose-Einstein condensate dark matter models with the SPARC galactic rotation curves data
AbstractThe nature of one of the fundamental components of the Universe, dark matter, is still unknown. One interesting possibility is that dark matter could exist in the form of a…
Read More Qualitative properties of solutions for mixed type functional-differential equations with maxima
AbstractIn this paper we study some properties of the solutions of a second order system of functional-differential equations with maxima, of mixed type, with “boundary” conditions. We use the weakly…
Read More Inequalities for indices of coincidence and entropies
AbstractWe consider a probability distribution depending on a real parameter x. As functions of x, the Renyi entropy and the Tsallis entropy can be expressed in terms of the associated…
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