A Root-Finding Algorithm with Fifth Order Derivatives
Mehmet Pakdemi̇rli̇, Hakan Boyacı, Hasan Ali Yurtsever · Mathematical and Computational Applications · 2008
Perturbation theory is used to generate a root finding algorithm with fifth order derivatives. The algorithm is called Quintuple-Correction-Term algorithm. The new algorithm is contrasted with the previous Quadruple-Correction-Term and Triple-Correction-Term algorithms in the literature. It is found that adding a fifth correction term in the algorithm does not improve the performance.