CAJ | 학술논문

建立在 Ostrowski 的四阶收敛和 Grau 的六阶收敛以及三步迭代法的基础上，构造了一种新的求解非线性方程单根的三步六阶迭代法。此方法每一步需要计算三个函数值以及一个一阶导数值，它的效率指数约为1.565。通过数例算例与 Grau 构造的三步六阶迭代法相比，此方法的迭代次数减少。
건립재 Ostrowski 적사계수렴화 Grau 적륙계수렴이급삼보질대법적기출상，구조료일충신적구해비선성방정단근적삼보륙계질대법。차방법매일보수요계산삼개함수치이급일개일계도수치，타적효솔지수약위1.565。통과수례산례여 Grau 구조적삼보륙계질대법상비，차방법적질대차수감소。
A new six-order iterative method for the solution of nonlinear equations is presented.The new method is based on Ostrowski’s fourth-order method,Grau’s sixth-order method and three-step it-erative methods.The new method requires three evaluations of the function and one evaluation of its first derivative.Therefore the new method has the efficiency index which equals 1.565.Numerical compari-sons are made to show the performance of the presented method.The iteration number is less than the six-order convergence method of Grau’s.