Geodesic
On the limiting properties of dual trajectories in the Lagrange multipliers method
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 1, pp. 3-23

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For the method of Lagrange multipliers (i.e., augmented Lagrangians), possible and typical scenarios for the asymptotic behavior of dual trajectories are examined in the case where the Lagrange multiplier is nonunique. The influence of these scenarios on the convergence rate is also investigated. 
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     title = {On the limiting properties of dual trajectories in the {Lagrange} multipliers method},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_1_a0/}
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A. F. Izmailov. On the limiting properties of dual trajectories in the Lagrange multipliers method. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 1, pp. 3-23. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_1_a0/