8 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
3 papers · 1 filter
Higher Order Aitken Extrapolation with Application to Converging and Diverging Gauss-Seidel Iterations
Ababu Teklemariam Tiruneh
Aitken extrapolation normally applied to convergent fixed point iteration is extended to extrapolate the solution of a divergent iteration. In addition, higher order Aitken extrapo…
A three point formula for finding roots of equations by the method of least squares
Ababu Teklemariam Tiruneh, William N. Ndlela, Stanley J. Nkambule
A new method of root finding is formulated that uses a numerical iterative process involving three points. A given function y = f(x) whose roots are desired is fitted and approxima…
A Two-Point Newton Method suitable for non-convergent Cases and with Super-Quadratic Convergence
Ababu Teklemariam Tiruneh
An iterative formula based on Newton Method alone is presented for the iterative solutions of equations that ensures convergence in cases where the traditional Newton Method may fa…