Abstract
Using finer majorizing sequences we approximate solutions of nonlinear equations using inexact Newton methods on a Banach and a Hilbert setting. It turns out that under weaker conditions and the same computational cost we can provide finer error bounds on the distances involved and a more precise information on the location of the solution than in earlier results already in the literature.
Citation
Ioannis K. Argyros. "A fine convergence analysis for inexact Newton methods." Funct. Approx. Comment. Math. 36 7 - 31, January 2006. https://doi.org/10.7169/facm/1229616439
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