학술저널
ON THE HIGH-ORDER CONVERGENCE OF THE k-FOLD PSEUDO-CAUCHY’S METHOD FOR A SIMPLE ROOT
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 21, No. 1
-
2008.03107 - 116 (10 pages)
- 0
In this study the k-fold pseudo-Cauchy’s method of order k+3 is proposed from the classical Cauchy’s method defined by an iteration xn+1 = xn− f0(xn)f00(xn) ·􀀀1−p1 − 2f(xn)f00(xn)/f0(xn)2.The convergence behavior of the asymptotic error constant is investigated near the corresponding simple zero. A root-finding algorithm with the k-fold pseudo-Cauchy’s method is described and computational examples have successfully confirmed the current analysis.
1. Introduction
2. Convergence analysis
3. Algorithm and numerical results
References
(0)
(0)