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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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Simplifying the variational iteration method: A new approach to obtain the Lagrange multiplier
Mathematics and Computers in Simulation, 2023Mehakpreet Singh +2 more
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The Likelihood Ratio, Wald, and Lagrange Multiplier Tests: An Expository Note
American Statistician, 1982A Buse
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