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13.334 Articles in journals published by the UPC
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On the compatibility of classical multiplier estimates with variable reduction techniques when there are nonlinear inequality constraints

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Mijangos, Eugenio
Nabona Francisco, NarcísMés informació
Document typeArticle
Defense date1999
PublisherInstitut d'Estadística de Catalunya
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 2.5 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 2.5 Spain
Abstract
The minimization of a nonlinear function subject to linear and nonlinear equality constraints and simple bounds can be performed through minimizing a partial augmented Lagrangian function subject only to linear constraints and simple bounds by variable reduction techniques. The first-order procedure for estimating the multiplier of the nonlinear equality constraints through the Kuhn-Tucker conditions is analyzed and compared to that of Hestenes-Powell. There is a method which identifies those major iterations where the procedure based on the Kuhn-Tucker conditions can be safely used and also computes these estimates. This work justifies the extension of the former results to the case of general inequality constraints. To this end two procedures that convert inequalities into equalities are considered.
CitationMijangos, Eugenio; Nabona, Narcís . "On the compatibility of classical multiplier estimates with variable reduction techniques when there are nonlinear inequality constraints". Qüestiió. 1999, vol. 23, núm. 1 
URIhttp://hdl.handle.net/2099/4099
ISSN0210-8054 (versió paper)
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  • Qüestiió (Quaderns d'estadística i investigació operativa) - 1999, vol. 23, núm. 1 [11]
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