Abstract
In this paper, we derive an existence test for zeros of nonlinear system f(x) = 0, and construct a sequence of optimal nested intervals including the solution x* of the system and give a sharper componentwise error bounds for a modified Newton method. The norm case of the mentioned method is also discussed.
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Min, K., Qi, L. & Zuhe, S. On the Componentwise Krawczyk-Moore Iteration. Reliable Computing 5, 359–370 (1999). https://doi.org/10.1023/A:1009928629577
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DOI: https://doi.org/10.1023/A:1009928629577