摘要
文章研究了解Banach空间中非线性算子方程的带参数的修正型Euler迭代族的局部收敛性问题.在算子的二阶导数满足Lipschitz条件下建立了修正型Euler迭代族的3阶局部收敛性.
The convergence of the family of the deformed Euler iterations with parameters to solve nonlinear operator equations in Banach spaces is studied.Under the assumption that the derivative of the operator satisfies the Lipschitz condition,and then the local quadratic convergences of the family of the deformed Euler iterations is established.
出处
《南京晓庄学院学报》
2010年第6期8-14,共7页
Journal of Nanjing Xiaozhuang University
基金
国家自然基金资助(资助号:10271025)
南京晓庄学院培育项目资助(资助号:2009NXY01)
关键词
非线性算子方程
修正型Euler迭代族
3阶收敛性
Nonlinear operator equation
the family of the deformed Euler iterations
the quadratic convergence
