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On the convergence of an inexact Newton-type method
Authors:Guanglu Zhou  Liqun Qi
Affiliation:a School of Mathematics, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK
b Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong
Abstract:
In this paper we give local convergence results of an inexact Newton-type method for monotone equations under a local error bound condition. This condition may hold even for problems with non-isolated solutions, and it therefore is weaker than the standard non-singularity condition.
Keywords:Monotone equations   Newton-type method   Local convergence   Error bound condition
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