On an Aitken-Steffensen-Newton type methodOctober 11, 2018Ion Păvăloiu(original), divided differences, inverse interpolation, iterative methods, local convergence, Newton method, nonlinear equations in R, Numerical Analysis, paper, Steffenssen methods2018Abstract We consider an Aitken-Steffensen type method in which the nodes are controlled by Newton and two-step Newton iterations. We…Read More
On a Newton-Steffensen type methodFebruary 8, 2018Ion Păvăloiu(original), divided differences, inverse interpolation, iterative methods, local convergence, Newton method, nonlinear equations in R, Numerical Analysis, paper, Steffenssen methods2013Abstract In this paper we study the convergence of a Newton-Steffensen type method for solving nonlinear equations in R, introduced by…Read More
On a Steffensen-Hermite method of order threeFebruary 8, 2018Ion Păvăloiu(original), divided differences, inverse interpolation, iterative methods, local convergence, Newton method, nonlinear equations in R, Numerical Analysis, paper, Steffenssen methods2009Abstract In this paper we study a third order Steffensen type method obtained by controlling the interpolation nodes in the…Read More
On a Steffensen type methodFebruary 4, 2018Ion Păvăloiu(original), divided differences, inverse interpolation, iterative methods, local convergence, Newton method, nonlinear equations in R, Numerical Analysis, paper, Steffenssen methods2007Abstract We study a general Steffensen type method based on the inverse interpolation Lagrange polynomial of second degree. We show…Read More
On some Steffensen-type iterative methods for a class of nonlinear equationsDecember 24, 2017Emil Cătinaş(original), iterative methods, Newton method, nonlinear equations in Banach spaces, Numerical Analysis, paper, semilocal convergence, Steffenssen methods1995Abstract 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 \(X\)…Read More
On some interpolatory iterative methods for the second degree polynomial operators (I)December 21, 2017Emil Cătinaş(original), chord/secant method, divided differences, eigenvalue/eigenvector problems, iterative methods, nonlinear equations in Banach spaces, Numerical Analysis, paper, Steffenssen methods1998Abstract In this note we consider the chord (secant) method and the Steffensen method for solving polynomial operators of degree…Read More