Journal of applied mathematics & informatics
- 제22권1_2호
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- Pages.351-360
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- 2006
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
INEXACT-NEWTON METHOD FOR SOLVING OPERATOR EQUATIONS IN INFINITE-DIMENSIONAL SPACES
초록
In this paper, we develop an inexact-Newton method for solving nonsmooth operator equations in infinite-dimensional spaces. The linear convergence and superlinear convergence of inexact-Newton method under some conditions are shown. Then, we characterize the order of convergence in terms of the rate of convergence of the relative residuals. The present inexact-Newton method could be viewed as the extensions of previous ones with same convergent results in finite-dimensional spaces.
키워드