EXTENSION OF TRAUB-LIKE METHODS TO REGULARIZE NONLINEAR ILL-POSED EQUATIONS IN HILBERT SCALES

Shobha M. Erappa; P. B. Suma

doi:10.56947/gjom.v22i1.3893

EXTENSION OF TRAUB-LIKE METHODS TO REGULARIZE NONLINEAR ILL-POSED EQUATIONS IN HILBERT SCALES

Shobha M. Erappa
, P. B. Suma

School of Basic Sciences, Humanities and Management

Research output: Contribution to journal › Article › peer-review

Abstract

An extended version of fourth-order Traub-like scheme is applied to approximate nonlinear ill-posed operator equations within the framework of Hilbert scales. A detailed convergence analysis is conducted, yielding an error estimate of optimal order. Furthermore, the adaptive parameter selection strategy proposed by Pereverzev and Schock (2005) is considered for the choice of regularization parameter.

Original language	English
Journal	Gulf Journal of Mathematics
Volume	22
Issue number	1
DOIs	https://doi.org/10.56947/gjom.v22i1.3893
Publication status	Published - 20-01-2026

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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10.56947/gjom.v22i1.3893

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abstract = "An extended version of fourth-order Traub-like scheme is applied to approximate nonlinear ill-posed operator equations within the framework of Hilbert scales. A detailed convergence analysis is conducted, yielding an error estimate of optimal order. Furthermore, the adaptive parameter selection strategy proposed by Pereverzev and Schock (2005) is considered for the choice of regularization parameter.",

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EXTENSION OF TRAUB-LIKE METHODS TO REGULARIZE NONLINEAR ILL-POSED EQUATIONS IN HILBERT SCALES

Abstract

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