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In this paper, we have suggested an extended double Newton's method with sixth-order convergence by considering a control parameter ${\gamma}$ and a weight function H(s, u). We have determined forms of ${\gamma}$ and H(s, u) in order to induce the greatest order of convergence and established the main theorem utilizing related properties. The developed theory is ensured by numerical experiments with high-precision computation for a number of test functions.
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참고문헌 (12)
참고문헌 신청
C. Chun / 2008 / Some fourth-order iterative methods for solving nonlinear equation / Appl. Math. Comput 195:454~459
S. D. Conte / 1980 / Elementary Numerical Analysis / McGraw-Hill Inc.
M. Frontini / 2003 / Some variant of Newtons method with third-order convergence / Appl. Math. Comput 140:419~426
R. R. Goldberg / 1976 / Methods of Real Analysis / John Wiley and Sons Ltd
P. Jarratt / 1966 / Some fourth-order multipoint iterative methods for solving equations / Math. Comput 20(95):434~437
S. D. Conte / 1980 / Elementary Numerical Analysis / McGraw-Hill Inc.
M. Frontini / 2003 / Some variant of Newtons method with third-order convergence / Appl. Math. Comput 140:419~426
R. R. Goldberg / 1976 / Methods of Real Analysis / John Wiley and Sons Ltd
P. Jarratt / 1966 / Some fourth-order multipoint iterative methods for solving equations / Math. Comput 20(95):434~437
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