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- W2950247315 abstract "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 the absence of errors, our analysis retrieve the classical Kantorovich Theorem on Newton method." @default.
- W2950247315 created "2019-06-27" @default.
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- W2950247315 date "2011-10-15" @default.
- W2950247315 modified "2023-09-26" @default.
- W2950247315 title "A robust Kantorovich's theorem on inexact Newton method with relative residual error tolerance" @default.
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- W2950247315 doi "https://doi.org/10.48550/arxiv.1110.3430" @default.
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