Computer methodologies for comparison of computational efficiency of simultaneous methods for finding polynomial zeros

2020 ◽  
Vol 368 ◽  
pp. 112513 ◽  
Author(s):  
I. Petković ◽  
Đ. Herceg
Keyword(s):  
Computational Efficiency ◽  
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 Efficient iterative methods for finding simultaneously all the multiple roots of polynomial equation

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Mudassir Shams ◽  
Naila Rafiq ◽  
Nasreen Kausar ◽  
Praveen Agarwal ◽  
Choonkil Park ◽  
...  
Keyword(s):  
Iterative Methods ◽  
Computational Efficiency ◽  
Numerical Test ◽  
Polynomial Equation ◽  
Multiple Roots ◽  
Simultaneous Methods ◽  
Numerical Performance ◽  
Very High ◽  
High Computational Efficiency

AbstractTwo new iterative methods for the simultaneous determination of all multiple as well as distinct roots of nonlinear polynomial equation are established, using two suitable corrections to achieve a very high computational efficiency as compared to the existing methods in the literature. Convergence analysis shows that the orders of convergence of the newly constructed simultaneous methods are 10 and 12. At the end, numerical test examples are given to check the efficiency and numerical performance of these simultaneous methods.

Sign in / Sign up

Export Citation Format

Share Document