Results 291 to 300 of about 9,695 (338)

On the influence of the critical lagrange multipliers on the convergence rate of the multiplier method

Computational Mathematics and Mathematical Physics, 2012
Summary: The paper is devoted to the analysis of the influence of the critical Lagrange multipliers on the convergence rate of the multiplier method and the efficiency of various techniques for accelerating the final stage of this method.
Izmajlov, A. F., Uskov, E. I.
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On the method of Lagrange multiplier and others

Acta Mechanica Sinica, 1986
The 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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Stochastic subgradient methods with approximate Lagrange multipliers

2016 IEEE 55th Conference on Decision and Control (CDC), 2016
We study the use of approximate Lagrange multipliers in the stochastic subgradient method for the dual problem in constrained convex optimisation. The use of approximate Lagrange multipliers in the optimisation (instead of the true multipliers) is motivated by the fact that it is possible to accurately approximate some non-convex control problems as ...
Víctor Valls, Douglas J. Leith
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Augmented Lagrange-SQP Methods with Lipschitz-Continuous Lagrange Multiplier Updates

SIAM Journal on Numerical Analysis, 2002
The paper studies augmented Lagrangian-SQP methods with Lipschitz-continuous Lagrange multiplier updates depending only on the \(x\)-variable, where the problem to be solved is an equality constrained minimization problem in Hilbert spaces. For this class of methods, a Kantorovich type convergence result is proved, which is based on a suitable new ...
Ekkehard W. Sachs, Stefan Volkwein
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Wavelet stabilization of the Lagrange multiplier method

Numerische Mathematik, 2000
The author gives a reformulation of the Dirichlet problem which, for the particular case of the Laplace operator in a domain \( \Omega\) takes the form: \( -\Delta u=f \) in \( \Omega\) and \( u=g \) on \( \Gamma=\partial\Omega \) in which \( f\in L^2(\Omega), g\in H^{1/2}(\Gamma)\).
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A Remark on Lagrange Multiplier Method (I)

International Journal of Nonlinear Sciences and Numerical Simulation, 2001
The author uses the Lagrange multiplier method to find stationary points of a function \(F(x,y)\) under the constraint \(g(x,y)=0\). The stationary points are obtained from the two equations \[ \frac{\partial F}{\partial x} - \frac{g_x}{g_y}\frac{\partial F}{\partial y}=0\text{ and }g(x,y)=0.\tag{A} \] He derives from these equations two other ...
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The Mortar finite element method with Lagrange multipliers

Numerische Mathematik, 1999
Error estimates of the mortar finite element method under a hybrid formulation for two-dimensional second-order elliptic equations are proved.
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Method of Lagrange Multipliers

2012
This method is intended for conditional inequalities. It requires elementary skills of differential calculus but it is very easy to apply. We’ll give the main theorem, without proof, and we’ll introduce some exercises to see how this method works.
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A regularized domain decomposition method with Lagrange multiplier

Advances in Computational Mathematics, 2006
A new regularized method, in which the regularization term acts on the kernel of the underlying operator is proposed. This design can avoid the generation of a great roundoff error when the regularization parameters are very small. For the regularized method, the interface equation of the multiplier can be built directly, but the condition number of ...
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Convergence of a substructuring method with Lagrange multipliers

Numerische Mathematik, 1996
The convergence of a substructuring iterative method with Lagrange multipliers is analyzed. This method was recently proposed by \textit{C. Farhat} and \textit{F.-X. Roux} [Int. J. Numer. Methods Eng. 32, No. 6, 1205-1227 (1991; Zbl 0758.65075)]. The method decomposes finite element discretization of an elliptic boundary value problem into Neumann ...
Mandel, Jan, Tezaur, Radek
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