A new fourth-order family of simultaneous methods for finding polynomial zeros

2005 ◽  
Vol 164 (1) ◽  
pp. 227-248 ◽  
Author(s):  
M.S. Petković ◽  
L. Rančić
Keyword(s):  
Fourth Order ◽  
Polynomial Zeros ◽  
Simultaneous Methods

Simultaneous methods for polynomial zeros

2013 ◽  
pp. 239-280
Author(s):  
Miodrag S. Petković ◽  
Beny Neta ◽  
Ljiljana D. Petković ◽  
Jovana Džunić
Keyword(s):  
Polynomial Zeros ◽  
Simultaneous Methods

scholarly journals Local and Semilocal Convergence of Wang-Zheng’s Method for Simultaneous Finding Polynomial Zeros

Symmetry ◽  
2019 ◽  
Vol 11 (6) ◽  
pp. 736
Author(s):  
Slav I. Cholakov
Keyword(s):  
Iterative Method ◽  
Error Estimates ◽  
Fourth Order ◽  
Semilocal Convergence ◽  
Polynomial Zeros ◽  
Convergence Theorems ◽  
Appl Math

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).

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