Title :
The Root-Finding Algorithm of Three-Point Quadratic Interpolation of the Nonlinear Equation
Author :
Tianliang Zhang ; Yamin Zhao
Author_Institution :
Coll. of Math.& Stat., Nanjing Univ. of Inf. Sci. & Technol., Nanjing, China
Abstract :
An iterative algorithm is provided with a superlinear convergence, without a calculation of the derivative. By means of the three-point quadratic interpolation in optimization technology, the solution to nonlinear equation f(x) = 0 can be turned into that of the extreme evaluation of function g(x) = [f(x)]2.
Keywords :
convergence of numerical methods; interpolation; nonlinear equations; optimisation; derivative; function evaluation; nonlinear equation; optimization technology; root-finding algorithm; superlinear convergence; three-point quadratic interpolation; Convergence; Educational institutions; Interpolation; Mathematical model; Nonlinear equations; Optimization; finding roots of equation; optimization techniques; three-point quadratic interpolation;
Conference_Titel :
Information and Computing Science (ICIC), 2012 Fifth International Conference on
Conference_Location :
Liverpool
Print_ISBN :
978-1-4673-1985-0
DOI :
10.1109/ICIC.2012.64
