On a Steffensen type method6 years agoAbstract We study a general Steffensen type method based on the inverse interpolation Lagrange polynomial of second degree. We show…
Bilateral approximations of solutions of equations by order three Steffensen-type methods6 years agoAbstract We study the convergence of a method of Steffensen-type, which is obtained from the Lagrange polynomial of inverse interpolation with…
Approximation of the roots of equations by Aitken-Steffensen-type monotonic sequences6 years agoAbstract We study the conditions under which the well-known Aitken-Steffensen method for solving equations leads to monotonic sequences whose terms…
Multiscale structure of time series revealed by the monotony spectrum6 years agoAbstractObservation of complex systems produces time series with specific dynamics at different time scales. The majority of the existing numerical…