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
Spectral collocation solutions to second order singular Sturm-Liouville eigenproblems
AbstractWe comparatively use some classical spectral collocation methods as well as highly performing Chebfun algorithms in order to compute the eigenpairs of second order singular Sturm-Liouville problems with separated self-adjoint…
Read More Accurate spectral collocation computation of high order eigenvalues for singular Schrödinger equations
AbstractWe are concerned with the study of some classical spectral collocation methods as well as with the new software system Chebfun in computing high order eigenpairs of singular and regular…
Read More Accurate spectral collocation solutions to some Bratu’s type Boundary Value Problems
AbstractWe solve by Chebyshev spectral collocation some genuinely nonlinear Liouville-Bratu-Gelfand type, 1D and a 2D boundary value problems. The problems are formulated on the square domain [−1, 1] × [−1,…
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