Local and Semilocal Convergence of Wang-Zheng’s Method for Simultaneous Finding Polynomial Zeros
Keyword(s):
In 1984, Wang and Zheng (J. Comput. Math. 1984, 1, 70–76) introduced a new fourth order iterative method for the simultaneous computation of all zeros of a polynomial. In this paper, we present new local and semilocal convergence theorems with error estimates for Wang–Zheng’s method. Our results improve the earlier ones due to Wang and Wu (Computing 1987, 38, 75–87) and Petković, Petković, and Rančić (J. Comput. Appl. Math. 2007, 205, 32–52).
2019 ◽
Vol 7
(1)
◽
pp. 11-16
Keyword(s):
The numerical stability of a Laguerre-like method for the simultaneous inclusion of polynomial zeros
2006 ◽
pp. 93-109
Keyword(s):