节点文献
求解不可微算子方程的一类迭代法的半局部收敛分析
Semilocal convergence analysis of a class of iterative methods for solving nondifferentiable operator equations
【摘要】 给出了一类解不可微算子方程迭代法的半局部收敛问题.作为特殊情形,这类方法包含了一个已知的方法.在弱Lipschitz条件下建立了该类迭代法的半局部收敛定理.最后,通过数值例子说明了该类方法的有效性.
【Abstract】 A class of iterative methods for solving nondifferentiable operator equations was given. Such class includes a known method as a special case. Under some weak Lipschitz condition,the semilocal convergence of these methods were established. A numerical example was given to illustrate the effectiveness of the methods.
【关键词】 非线性方程;
不可微算子;
半局部收敛;
弱Lipschitz条件;
【Key words】 nonlinear equation; nondifferentiable operator; semilocal convergence; weak Lipschitz condition;
【Key words】 nonlinear equation; nondifferentiable operator; semilocal convergence; weak Lipschitz condition;
【基金】 国家自然科学基金资助项目(11671364;11671365);浙江省自然科学基金资助项目(17A010006)
- 【文献出处】 浙江师范大学学报(自然科学版) ,Journal of Zhejiang Normal University(Natural Sciences) , 编辑部邮箱 ,2018年01期
- 【分类号】O177
- 【被引频次】2
- 【下载频次】37