Kantorovich-type convergence criterion for inexact Newton methods
点击次数:
第一作者:Weiping Shen
发表时间:2009-01-01
发表刊物:Applied Numerical Mathematics
所属单位:数理与信息工程学院
文献类型:期刊
卷号:Vol.59
期号:No.7
页面范围:1599-1611
ISSN号:0168-9274
关键字:Nonlinear;equation;Inexact;Newton;methods;Lipschitz;condition;Kantorovich-type;theorem
摘要:Assuming that the first derivative of an operator satisfies the Lipschitz condition, a Kantorovich-type convergence criterion for inexact Newton methods is established, which includes the well-known Kantorovich's theorem as a special case. Comparisons and
是否译文:否