郑州大学学报(理学版)
鄭州大學學報(理學版)
정주대학학보(이학판)
Journal of Zhengzhou University (Natural Science Edition)
2015年
3期
1-6
,共6页
奇异非线性方程组%牛顿法%Moore-Penrose逆%半局部收敛
奇異非線性方程組%牛頓法%Moore-Penrose逆%半跼部收斂
기이비선성방정조%우돈법%Moore-Penrose역%반국부수렴
singular nonlinear equations%Newton’ s method%Moore-Penrose inverse%semilocal conver-gence
对一类奇异非线性方程组,运用Moore-Penrose广义逆建立牛顿迭代法,分析了其局部收敛性、半局部收敛性以及收敛半径的估计,数值例子也表明了算法的有效性。
對一類奇異非線性方程組,運用Moore-Penrose廣義逆建立牛頓迭代法,分析瞭其跼部收斂性、半跼部收斂性以及收斂半徑的估計,數值例子也錶明瞭算法的有效性。
대일류기이비선성방정조,운용Moore-Penrose엄의역건립우돈질대법,분석료기국부수렴성、반국부수렴성이급수렴반경적고계,수치례자야표명료산법적유효성。
Moore-Penrose inverse was used to construct Newton’ s method for solving a class of singular nonlinear equations. The local and semilocal convergence were established, and the radius of conver-gence ball was also obtained. The validity of the algorithm was indicated by a numerical example.