Introduction to a Newton-type method for solving nonlinear equations

Applied Mathematics and Computation

Volumn 195, Issue 2, 2008, Pages 663-668

  Thukral, R ^a  

^a Pade Research Centre   (United Kingdom)

Author keywords

Classical Newton; Halley rational; Kou et al.; Nonlinear equations; Order of convergence; Rational Newton; Weerakoon and Fernando

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; NEWTON-RAPHSON METHOD;

CLASSICAL NEWTON METHODS; ORDER OF CONVERGENCE; RATIONAL NEWTON METHODS;

NONLINEAR EQUATIONS;

EID: 37349073327     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.05.013     Document Type: Article

References (7)

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3. Frontini M., and Sormani E. Some variants of Newton's method with third order convergence. Appl. Math. Comput. 140 (2003) 419-426
4. Halley E. Methodus nova, Accurata and facillis inveniendi radices aequationum quarumcumque generaliter, sine praevia reductione. Philos. Trans. Roy. Soc. London 18 (1694) 136-148
5. Kou J., Li Y., and Wang X. A modification of Newton method with third order convergence. Appl. Math. Comput. 181 (2006) 1106-1111
6. Ostrowski A.M. Solution of Equations in Euclidean and Banach space. third ed. (1973), Academic press, New York
7. Weerakoon S., and Fernando T.G.I. A variant of Newton's method with accelerated third-order convergence. Appl. Math. Lett. 13 (2000) 87-93