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On the method of Lagrange multiplier and others
Acta Mechanica Sinica, 1986The fundamentals for the correct use of the method of Lagrange multipliers are presented and illustrated by examples. It is pointed out that for a given problem of mechanics, there may be many equivalent and unequivalent variational principles. The functionals of the so-called generalized variational principles of elasticity are linear combinations of ...
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Lagrange Multipliers in Stochastic Programming
SIAM Journal on Control and Optimization, 1992Finite horizon stochastic programs typically come in the following general form: (P1) minimize the overall expected cost \(Ef(w,x_ 1(w),\dots,x_ T(w))\) by making, sequentially, at each state \(w\) of the world. The purpose of this paper is to characterize locally optimal solutions to problem (P1) in terms of the so-called Lagrange multipliers or Kuhn-
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On LICQ and the uniqueness of Lagrange multipliers
Operations Research Letters, 2013Abstract Kyparisis proved in 1985 that a strict version of the Mangasarian–Fromovitz constraint qualification (MFCQ) is equivalent to the uniqueness of Lagrange multipliers. However, the definition of this strict version of MFCQ requires the existence of a Lagrange multiplier and is not a constraint qualification (CQ) itself.
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Bounded sets of Lagrange multipliers for vector optimization problems in infinite dimension
Journal of Mathematical Analysis and Applications, 2008Marius Durea, Joydeep Dutta
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A note on Lagrange multipliers with several binding constraints
Economics Letters, 1998Christian E Weber
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