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Geometric Programming: Estimation of Lagrange Multipliers
Operations Research, 1985This paper presents a method for estimating Lagrange multipliers for generalized Geometric Programming. The Lagrange multipliers of a linearized problem serve as estimates of the generalized Geometric Programming multipliers.
M J Rijckaert
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SIAM Journal on Optimization, 2020 International audienceThe main objective of this work is to study the existence of Lagrange multipliers for infinite dimensional problems under Gateaux differentiability assumptions on the data.
FRANCISCO J Silva
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A Variational Approach to Lagrange Multipliers
SSRN Electronic Journal, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Borwein, Jonathan M., Zhu, Qiji J.
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LAGRANGE MULTIPLIERS IN INTRINSIC ELASTICITY
Mathematical Models and Methods in Applied Sciences, 2011In an intrinsic approach to three-dimensional linearized elasticity, the unknown is the linearized strain tensor field (or equivalently the stress tensor field by means of the constitutive equation), instead of the displacement vector field in the classical approach.
Iosifescu, Oana +4 more
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On Uniqueness of Lagrange Multipliers in Optimization Problems Subject to Cone Constraints
SIAM Journal on Optimization, 1997 . In this paper we study uniqueness of Lagrange multipliers in optimization problems subject to cone constraints. The main tool in our investigation of this question will be a calculus of dual (polar) cones. We give sufficient and in some cases necessary
Alexander Shapiro
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On the Genesis of the Lagrange Multipliers
Journal of Optimization Theory and Applications, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of Optimization Theory and Applications, 1980
Solutions of constrained minimization problems give rise to Lagrange multiplier rules. In this paper, we show that a simple condition on a specific constraint implies that the associated coefficient in the Lagrange multiplier rule is not zero. We conclude with an example which shows that such knowledge increases the information available about the ...
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Solutions of constrained minimization problems give rise to Lagrange multiplier rules. In this paper, we show that a simple condition on a specific constraint implies that the associated coefficient in the Lagrange multiplier rule is not zero. We conclude with an example which shows that such knowledge increases the information available about the ...
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Vector maximisation and lagrange multipliers
Mathematical Programming, 1985This paper deals with the characterization of the efficient set of a set \(Z\subseteq {\mathbb{R}}^ n\), further constrained by constraints \(g_ k(x)\leq 0\), \(1\leq k\leq p\), with respect to a multiple objective vector function \(f: {\mathbb{R}}^ n\to {\mathbb{R}}^ m\).
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On Lagrange Multipliers and Inequalities
Operations Research, 1961Necessary and sufficient conditions for minima (maxima) of nonlinear functionals subjected to linear constraints are derived. Two classes of functionals are considered (a) convex (concave) functionals for which necessary and sufficient conditions for global minima (maxima) are obtained, and (b) more general functionals possessing continuous second ...
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A note on an approximate lagrange multiplier rule
Mathematical Programming, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Joydeep Dutta +2 more
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