摘要
本文研究了Banach空间中非线性算子方程的带参数的修正型Euler-Halley迭代族的收敛性问题.在算子的一阶导数满足Lipschitz条件下建立了修正型Euler-Halley迭代族的半局部二阶收敛性.
The convergence problem of family of the deformed Euler-Halley iterations with parmeters for solving nonlinear operator equations in Banach spaces is studied. Under the assumption that the derivative of the operator satisfies the Lipschitz condition, the semi-local quadratic convergences of the family of deformed Euler-Halley iterations are established.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2005年第5期901-908,共8页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(10271025)
