Numerical Solution of Polynomial Equations using Ostrowski Homotopy Continuation Method

MATEMATIKA

Ahmad Abdul Majid¹  Ahmad Izani Md. Ismail¹  Hafizudin Mohamad Nor¹  Amirah Rahman¹ 

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关键词: Numerical method;    Polynomial equations;    Ostrowski’s method;    Homo- topy continuation method.;   

DOI  :  10.11113/matematika.v30.n.662

学科分类：社会科学、人文和艺术（综合）

来源: Universiti Teknologi Malaysia * Fakulti Sains

【 摘 要 】

It is known that homotopy continuation methods (HCM) used in con- junction with a classical numerical method to compute roots of nonlinear algebraic equations can improve the performance of the classical numerical method. In this pa- per, we develop an Ostrowski-HCM method and apply it to solve several polynomial equations. The results obtained indicate that Ostrowski-HCM performs better than Ostrowski’s method.

【 授权许可】

Unknown