An Inexact Regularized Newton Method for Monotone and Nonlinear Equations and its Local Convergence
Mathematical Theory and Applications ›› 2016, Vol. 36 ›› Issue (4): 29-35.
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Li Weifei
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Abstract:
This paper presents an inexact regularized Newton method for monotone and nonlinear equations. Under relatively weak local error bound conditions,we show that the proposed method converges quadratically.This method is a generalization of the exact regularized Newton method proposed by Fan and Yuan[4].
Key words: "> Monotone nonlinear equations, Inexact regularized Newton method, Local convergence
"> Monotone nonlinear equations,
Li Weifei.
An Inexact Regularized Newton Method for Monotone and Nonlinear Equations and its Local Convergence [J]. Mathematical Theory and Applications, 2016, 36(4): 29-35.
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https://mta.csu.edu.cn/EN/Y2016/V36/I4/29
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