A variant of Chebyshev's method with sixth-order convergence

Numerical Algorithms

Volumn 43, Issue 3, 2006, Pages 273-278

  Kou, Jisheng ^a,b   Li, Yitian ^a  

^a WUHAN UNIVERSITY   (China)

^b SHANGHAI UNIVERSITY   (China)

Author keywords

Chebyshev's method; Iterative method; Non linear equations; Root finding

Indexed keywords

EID: 33847324757     PISSN: 10171398     EISSN: 15729265     Source Type: Journal    
DOI: 10.1007/s11075-006-9058-y     Document Type: Article

References (6)

1. Traub, J.F.: Iterative Methods for the Solution of Equations. Prentice-Hall, Englewood Cliffs, NJ (1964)
2. Amat, S., Busquier, S., Gutiérrez, J.M.: Geometric constructions of iterative functions to solve nonlinear equations. J. Comput. Appl. Math. 157, 197-205 (2003)
3. Grau, M., Díaz-Barrero, J.L.: An improvement of the Euler-Chebyshev iterative method. J. Math. Anal. Appl. 315, 1-7 (2006)
4. Gautschi, W.: Numerical Analysis: An Introduction. Birkhäuser, Cambridge, MA (1997)
5. Weerakoon, S., Fernando, T.G.I.: A variant of Newton's method with accelerated third-order convergence. Appl. Math. Lett. 13, 87-93 (2000)
6. Grau, M.: An improvement to the computing of nonlinear equation solutions. Numer. Algor. 34, 1-12 (2003)