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Volumn 218, Issue 2, 2008, Pages 350-363

Simple geometry facilitates iterative solution of a nonlinear equation via a special transformation to accelerate convergence to third order

Author keywords

Acceleration of iteration; Algebraic equations solvers; Convergence order; Direct substitution; Fixed point iterations; Halley's method; Iterative methods; Newton's method; Partial substitution; Simulation

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL GEOMETRY; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL TRANSFORMATIONS; NEWTON-RAPHSON METHOD;

EID: 44649195097     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2007.02.036     Document Type: Article
Times cited : (7)

References (13)
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  • 7
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    • On Halley's iteration method
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  • 8
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    • M.Ç. Koçak, A class of iterative methods with third order convergence to solve nonlinear equations, J. Comput. Appl. Math., (2007) in press, doi:10.1016/j.cam.2007.02.001.
    • M.Ç. Koçak, A class of iterative methods with third order convergence to solve nonlinear equations, J. Comput. Appl. Math., (2007) in press, doi:10.1016/j.cam.2007.02.001.
  • 9
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    • M.Ç. Koçak, Acceleration of equilibrium calculations via a new technique, in: Presented at 17th International Congress of Chemical and Process Engineering CHISA 2006, 27-31 August 2006, Prague, Czech Republic.
    • M.Ç. Koçak, Acceleration of equilibrium calculations via a new technique, in: Presented at 17th International Congress of Chemical and Process Engineering CHISA 2006, 27-31 August 2006, Prague, Czech Republic.
  • 10
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    • An acceleration of iterative processes for solving nonlinear equations
    • Nedzhibov G.A. An acceleration of iterative processes for solving nonlinear equations. Appl. Math. Comput. 168 (2005) 320-332
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  • 11
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    • Generation of root finding algorithms via perturbation theory and some new formulas
    • Pakdemirli M., and Boyaci{dotless} H. Generation of root finding algorithms via perturbation theory and some new formulas. Appl. Math. Comput. 184 2 (2007) 783-788
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    • Pakdemirli, M.1    Boyaci, H.2
  • 12
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    • A family of third-order methods to solve nonlinear equations
    • Sharma J.R. A family of third-order methods to solve nonlinear equations. Appl. Math. Comput. 184 2 (2007) 210-215
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.