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- W2015007757 abstract "Since their introduction in 1969, independently, by Hestenes [10] and Powell [13], multiplier methods have become a very popular tool for constrained optimization. At present, we find a sizeable literature dealing with the two main forms of these methods: those of the sequential unconstrained minimization type, which was originally proposed by Hestenes [10] and Powell [13] and those of the continuous multiplier update type first proposed by Fletcher [5]. An excellent review of the literature on sequential minimization type methods can be found in the survey papers by Rockafellar [20], Fletcher [6], Bertsekas [1] and Powell [14] as well as in the book by Pierre and Lowe [15]. A number of major results on continuous multiplier update type methods can be found in the work of Fletcher and his collaborators [7,8] and of Mukai and Polak [12] and Glad and Polak [9]. For the sequential minimization type methods, we find results on local convergence, rate of convergence, with both increasing and finite penalty, and the effects of approximate unconstrained minimization [2,3, 4,17,19], but no theoretical results on automatic penalty limitation. For continuous multiplier update methods we find results on global convergence, rate of convergence and automatic penalty limitation [12,9]." @default.
- W2015007757 created "2016-06-24" @default.
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- W2015007757 date "1980-12-01" @default.
- W2015007757 modified "2023-10-16" @default.
- W2015007757 title "A globally convergent, implementable multiplier method with automatic penalty limitation" @default.
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- W2015007757 doi "https://doi.org/10.1109/cdc.1980.271787" @default.
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