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dc.contributor.authorArgyros, Ioannis K
dc.contributor.authorMagreñán, Á. Alberto (1)
dc.date2015-03
dc.date.accessioned2017-10-05T18:44:47Z
dc.date.available2017-10-05T18:44:47Z
dc.identifier.issn1573-2894
dc.identifier.urihttps://reunir.unir.net/handle/123456789/5651
dc.description.abstractWe present a local convergence analysis of Gauss-Newton method for solving nonlinear least square problems. Using more precise majorant conditions than in earlier studies such as Chen (Comput Optim Appl 40:97-118, 2008), Chen and Li (Appl Math Comput 170:686-705, 2005), Chen and Li (Appl Math Comput 324:13811394, 2006), Ferreira (J Comput Appl Math 235:1515-1522, 2011), Ferreira and Goncalves (Comput Optim Appl 48:1-21, 2011), Ferreira and Goncalves (J Complex 27(1):111-125, 2011), Li et al. (J Complex 26:268-295, 2010), Li et al. (Comput Optim Appl 47:1057-1067, 2004), Proinov (J Complex 25:38-62, 2009), Ewing, Gross, Martin (eds.) (The merging of disciplines:new directions in pure, applied and computational mathematics 185-196, 1986), Traup (Iterative methods for the solution of equations, 1964), Wang (J Numer Anal 20:123-134, 2000), we provide a larger radius of convergence; tighter error estimates on the distances involved and a clearer relationship between the majorant function and the associated least squares problem. Moreover, these advantages are obtained under the same computational cost.es_ES
dc.language.isoenges_ES
dc.publisherComputational Optimization and Applicationses_ES
dc.relation.ispartofseries;vol. 60, nº 2
dc.relation.urihttps://link.springer.com/article/10.1007%2Fs10589-014-9704-6es_ES
dc.rightsrestrictedAccesses_ES
dc.subjectleast squares problemses_ES
dc.subjectNewton-Gauss methodses_ES
dc.subjectbanach spacees_ES
dc.subjectmajorant conditiones_ES
dc.subjectlocal convergencees_ES
dc.subjectJCRes_ES
dc.titleImproved local convergence analysis of the Gauss-Newton method under a majorant conditiones_ES
dc.typeArticulo Revista Indexadaes_ES
reunir.tag~ARIes_ES
dc.identifier.doihttp://dx.doi.org/10.1007/s10589-014-9704-6


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