A new truncated-perturbed Gauss-Newton method for underdetermined nonlinear least squares problems

In this paper, we study the solvability of a truncated-perturbed Gauss-Newton method for solving underdetermined nonlinear least squares problems. Our aim is to address a new analysis of a semilocal convergence to the aforementioned method. In particular, the main theorem is established under a kind...

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Bibliographic Details
Published inApplicable analysis Vol. 104; no. 2; pp. 336 - 353
Main Authors de Oliveira, F. R, de Oliveira, F. R., Silva, G. N
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 22.01.2025
Taylor & Francis Ltd
Subjects
Hölder-relaxed condition
Least squares method
Newton methods
nonlinear least squares problems
semilocal convergence
Truncated-perturbed Gauss-Newton method
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ISSN0003-6811
1563-504X
DOI10.1080/00036811.2024.2361750

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Summary:In this paper, we study the solvability of a truncated-perturbed Gauss-Newton method for solving underdetermined nonlinear least squares problems. Our aim is to address a new analysis of a semilocal convergence to the aforementioned method. In particular, the main theorem is established under a kind of Hölder-relaxed condition, and two special cases of this are obtained. Furthermore, the computational behavior of the considered method is illustrated with some numerical tests.
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ISSN:0003-6811
1563-504X
DOI:10.1080/00036811.2024.2361750