On an adaptive regularization for ill-posed nonlinear systems and its trust-region implementation
classification
🧮 math.NA
keywords
trust-regionill-posednonlinearsolutionsystemsadaptiveaddressapproach
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In this paper we address the stable numerical solution of nonlinear ill-posed systems by a trust-region method. We show that an appropriate choice of the trust-region radius gives rise to a procedure that has the potential to approach a solution of the unperturbed system. This regularizing property is shown theoretically and validated numerically.
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