6 citations · 12 across the 5 of their papers we have counts for
5 papers
A simplified expression for the solution of cubic polynomial equations using function evaluation
Ababu T. Tiruneh
This paper presents a simplified method of expressing the solution to cubic equations in terms of function evaluation only. The method eliminates the need to manipulate the origina…
A modified three-point Secant method with improved rate and characteristics of convergence
Ababu Teklemariam Tiruneh
This paper presents a modification of Secant method for finding roots of equations that uses three points for iteration instead of just two. The development of the mathematical for…
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…