Review of solving polynomial equation systems II: Macaulay's paradigm and Gröbner technology by Teo Mora (Cambridge University Press 2005)

2009 ◽  
Vol 40 (1) ◽  
pp. 14-17
Author(s):  
S. C. Coutinho
Keyword(s):  
Polynomial Equation ◽  
Cambridge University ◽  
Solving Polynomial Equation

scholarly journals On highly efficient derivative-free family of numerical methods for solving polynomial equation simultaneously

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Mudassir Shams ◽  
Naila Rafiq ◽  
Nasreen Kausar ◽  
Praveen Agarwal ◽  
Choonkil Park ◽  
...  
Keyword(s):  
Numerical Methods ◽  
Computational Cost ◽  
Polynomial Equation ◽  
Polynomial Equations ◽  
Order Convergence ◽  
Numerical Examples ◽  
Iterative Schemes ◽  
Highly Efficient ◽  
Derivative Free ◽  
Solving Polynomial Equation

AbstractA highly efficient new three-step derivative-free family of numerical iterative schemes for estimating all roots of polynomial equations is presented. Convergence analysis proved that the proposed simultaneous iterative method possesses 12th-order convergence locally. Numerical examples and computational cost are given to demonstrate the capability of the method presented.

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