On Halley-Like Algorithms for Simultaneous Approximation of Polynomial Complex Zeros

1989 ◽  
Vol 26 (3) ◽  
pp. 740-763 ◽  
Author(s):  
Miodrag S. Petković
Keyword(s):  
Simultaneous Approximation ◽  
Complex Zeros ◽  
Polynomial Complex

scholarly journals On the fourth order zero-finding methods for polynomials

Filomat ◽  
2003 ◽  
pp. 35-46
Author(s):  
Snezana Ilic ◽  
Lidija Rancic
Keyword(s):  
Fourth Order ◽  
Order Of Convergence ◽  
Simultaneous Approximation ◽  
New Method ◽  
Main Attention ◽  
Simple Complex ◽  
Order Zero ◽  
Numerical Examples ◽  
Convergence Behavior ◽  
Complex Zeros

The fourth order methods for the simultaneous approximation of simple complex zeros of a polynomial are considered. The main attention is devoted to a new method that may be regarded as a modification of the well known cubically convergent Ehrlich-Aberth method. It is proved that this method has the order of convergence equals four. Two numerical examples are given to demonstrate the convergence behavior of the studied methods.

On a second order method for the simultaneous inclusion of polynomial complex zeros in rectangular arithmetic

Computing ◽  
1986 ◽  
Vol 36 (3) ◽  
pp. 249-261 ◽  
Author(s):  
Miodrag S. Petković ◽  
Lidija V. Stefanović
Keyword(s):  
Second Order ◽  
Order Method ◽  
Complex Zeros ◽  
Polynomial Complex
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