A Class of Frozen Regularized Gauss-Newton Methods Under Weak Conditions

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dc.contributor.authorGeorge, S.
dc.contributor.authorJidesh, P.
dc.date.accessioned2026-02-08T16:49:49Z
dc.date.issued2025
dc.description.abstractQinian Jin (2010) studied Frozen Regularized Gauss Newton Method (FRGNM) for approximating a solution of nonlinear ill-posed equation. The assumptions used to prove results in Jin’s paper are too restrictive. In this study, we analyze the convergence of FRGNM under weaker assumptions. This way we extend the applicability of FRGNM to the problems which does not satisfy the assumptions in Qinian Jin (2010). We also provide numerical results obtained for five different parameter choice strategies for FRCNM. © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2025.
dc.identifier.citationIndustrial and Applied Mathematics, 2025, Vol.Part F263, , p. 3-17
dc.identifier.issn23646837
dc.identifier.urihttps://doi.org/10.1007/978-981-95-2196-8_25
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/33507
dc.publisherSpringer
dc.subject47J06
dc.subject65J20
dc.subject65N20
dc.subject65R10
dc.subjectAdaptive method
dc.subjectFrozen regularized gauss newton method
dc.subjectNonlinear ill-posed problem
dc.subjectParameter choice strategy
dc.titleA Class of Frozen Regularized Gauss-Newton Methods Under Weak Conditions

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