Kantorovich-Type Convergence Criterion for Inexact Newton Methods

  title={Kantorovich-Type Convergence Criterion for Inexact Newton Methods},
  author={WeiPing Shen and Chong Li},
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 a numerical example are presented to illustrate that our results obtained in the present paper improve and extend some recent results in [10, 15]. MSC : 65H10; 65J15;47H30