Solving Nonlinear Algebraic Problem Using Newton Homotopy Differential Equation

• Main Authors: Hasan, Talib Hashim, Chowdhury, Md. Sazzad Hossien, Prayoto, .
• Format: Article
• Language: English
• Published: INSI Publications 2011
• Subjects: QA Mathematics
• Online Access: http://irep.iium.edu.my/143/1/56-59.pdf; http://irep.iium.edu.my/143/; http://www.insipub.com/ajbas/2011/56-59.pdf
• Institution: Universiti Islam Antarabangsa Malaysia

This paper presents an efficient algorithm for solving a nonlinear equation. In our algorithm, the nonlinear system f (x) = 0 is solved by a homotopy method, in which a homotopy H (x,t) = f (x)-(1-t) f (x0) is introduced and the solution path of H(x, t) = 0 is followed from an obvious solution (x0,0...