A robust Kantorovich’s theorem on the inexact Newton method with relative residual error tolerance
نویسندگان
چکیده
منابع مشابه
A robust Kantorovich's theorem on the inexact Newton method with relative residual error tolerance
We prove that under semi-local assumptions, the inexact Newton method with a fixed relative residual error tolerance converges Q-linearly to a zero of the non-linear operator under consideration. Using this result we show that Newton method for minimizing a self-concordant function or to find a zero of an analytic function can be implemented with a fixed relative residual error tolerance. In th...
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ژورنال
عنوان ژورنال: Journal of Complexity
سال: 2012
ISSN: 0885-064X
DOI: 10.1016/j.jco.2012.02.002