EXPANDING THE APPLICABILITY OF THE GAUSS-NEWTON METHOD FOR A CERTAIN CLASS OF SYSTEMS OF EQUATIONS

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:32:58Z
dc.date.issued2016
dc.description.abstractWe present a new semi-local convergence analysis of the Gauss-Newton method in order to solve a certain class of systems of equations under a majorant condition. Using a center majorant function as well as a majorant function and under the same computational cost as in earlier studies such as [11]-[13], we present a semilocal convergence analysis with the following advan-tages: weaker sufficient convergence conditions; tighter error estimates on the distances involved and an at least as precise information on the location of the solution. Special cases and applications complete this study. © 2016, Publishing House of the Romanian Academy. All rights reserved.
dc.identifier.citationJournal of Numerical Analysis and Approximation Theory, 2016, 45, 1, pp. 3-13
dc.identifier.issn24576794
dc.identifier.urihttps://doi.org/10.33993/jnaat451-1102
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/25896
dc.publisherPublishing House of the Romanian Academy
dc.subjectGauss-Newton method
dc.subjectleast squares problem
dc.subjectNewton’s method
dc.subjectsemilocal convergence
dc.titleEXPANDING THE APPLICABILITY OF THE GAUSS-NEWTON METHOD FOR A CERTAIN CLASS OF SYSTEMS OF EQUATIONS

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