Super Ostrowski Homotopy Continuation Method for Solving Polynomial System of Equations

Ahmad Abd. Majid; Ahmad Izani Md. Ismail; Amirah Rahman; Hafizudin Mohamad Nor

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Super Ostrowski Homotopy Continuation Method for Solving Polynomial System of Equations

机译：求解多项式方程组的Super Ostrowski同伦连续法。

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Homotopy continuation methods (HCMs) can be used to find the solutions of polynomial equations. The advantages of HCMs over classical methods such as the Newton and bisection methods are that HCMs are able to resolve divergence and starting value problems. In this paper, we develop Super Ostrowski-HCM as a technique to overcome the starting value problem.? We compare the performance of this proposed method with Ostrowski-HCM. The results provide evidence of the superiority of Super Ostrowski-HCM.

机译：可以使用同伦连续方法（HCM）来找到多项式方程的解。 HCM相对于牛顿法和二分法等经典方法的优势在于HCM能够解决发散和起始值问题。在本文中，我们开发了Super Ostrowski-HCM作为克服起始值问题的技术。我们将这种提议的方法与Ostrowski-HCM的性能进行了比较。结果提供了Super Ostrowski-HCM优越性的证据。

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《Matematika》 |2016年第1期|共页
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Ahmad Abd. Majid; Ahmad Izani Md. Ismail; Amirah Rahman; Hafizudin Mohamad Nor;
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1. Numerical Solution of Polynomial Equations using Ostrowski Homotopy Continuation Method [J] . Ahmad Abdul Majid, Ahmad Izani Md. Ismail, Amirah Rahman, Matematika . 2014,第2014期

机译：Ostrowski同伦连续法求解多项式方程的数值方法。
2. Homotopy continuation method for solving systems of nonlinear and polynomial equations [J] . Tianran Chen, Tien-Yien Li Communications in Information and Systems . 2015,第2期

机译：求解非线性和多项式方程组的同伦连续方法
3. Hom4ps-2.0: A Software Package For Solving Polynomial Systems By The Polyhedral Homotopy Continuation Method [J] . T. L. Lee, T. Y. Li, C. H. Tsai Computing . 2008,第2a3期

机译：Hom4ps-2.0：用于通过多面同伦连续方法求解多项式系统的软件包
4. Superior Accuracy of Ostrowski Homotopy Continuation Method with Quadratic Bezier Homotopy and Linear Fixed Point Functions for Nonlinear Equations [C] . Hafizudin Mohamad Nor, Amirah Rahman, Ahmad Izani Md. Ismail, International Conference on Quantitative Sciences and Its Applications . 2014

机译：具有二次Bezier同型和非线性方程线性固定点函数的ostrowski同型连续方法的卓越精度
5. A Homotopy Method for Solving Systems of Polynomial Equations [D] . 水野眞治. 1984

机译：多项式方程组的同伦解法
6. On the Application of Homotopy Perturbation Method for Solving Systems of Linear Equations [O] . S. A. Edalatpanah, M. M. Rashidi 2014

机译：同伦摄动法在线性方程组求解中的应用
7. HOM4PS-2.0: A software package for solving polynomial systems by the polyhedral homotopy continuation method [O] . Tsung-lin Lee, Tien-yien Li, Chih-hsiung Tsai 2008

机译：HOM4PS-2.0：一种用于通过多面体同伦延续方法求解多项式系统的软件包

Super Ostrowski Homotopy Continuation Method for Solving Polynomial System of Equations

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