Abstract
In the previous chapters we have studied duality relations by using Lagrange-type function. A different approach is based on the notion of a dualizing parameterization function and the corresponding augmented Lagrangian that is an augmented (nonlinear) version of the classical linear Lagrange function. An augmented Lagrangian, which is generated by the so-called canonical dualizing parameterization, can also be considered as a Lagrange-type function corresponding to a certain convolution function. However, augmented Lagrangians using a general dualizing parameterization function cannot be derived using convolution functions.
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© 2003 Springer Science+Business Media Dordrecht
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Rubinov, A., Yang, X. (2003). Augmented Lagrangians. In: Lagrange-type Functions in Constrained Non-Convex Optimization. Applied Optimization, vol 85. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-9172-0_5
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DOI: https://doi.org/10.1007/978-1-4419-9172-0_5
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-4821-4
Online ISBN: 978-1-4419-9172-0
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