Results 251 to 260 of about 11,092,921 (297)

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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Generalized Lagrange Multiplier Method and KKT Conditions With an Application to Distributed Optimization

IEEE Transactions on Circuits and Systems II: Express Briefs, 2019
The Lagrange multiplier method is widely used for solving constrained optimization problems. In this brief, the classic Lagrangians are generalized to a wider class of functions that satisfies the strong duality between primal and dual problems. Then the
Mengmou Li
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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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Constrained Minimization Problems (Method of Lagrange Multipliers)

1992
We consider the following type of minimization problem. Given a real valued function f on an open nonempty subset U of a real Banach space E we are looking for a minimum of f on the subset of U which is determined by the constraint condition \(g(x)=y\) where \(g: U \longrightarrow F\) is a given function on U with values in some Banach space F and \(y ...
Philippe Blanchard, Erwin Brüning
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The Method of Lagrange Multipliers for the Class of Subsmooth Mappings

Mathematical Notes, 2018
The author extends the classical Lagrange method to the wide class of so-called subsmooth mappings in Banach spaces; these mappings are related to the notion of strong compact subdifferential introduced recently in his paper. He also relies on his paper [ibid. 99, No. 4, 619--622 (2016; Zbl 1362.47052); translation from Mat. Zametki 99, No. 4, 631--634
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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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On the attraction of Newton’s method to critical lagrange multipliers

Computational Mathematics and Mathematical Physics, 2013
Summary: The attraction of dual trajectories of Newton's method for the Lagrange system to critical-Lagrange multipliers is analyzed. This stable effect, which has been confirmed by numerical practice,-leads to the Newton-Lagrange method losing its superlinear convergence when applied to problems with-irregular constraints.
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A Note on the Method of Lagrange Multipliers with Random Variables

SSRN Electronic Journal, 2016
I examine a simple optimisation problem to illustrate how to correctly apply the method of Lagrange multipliers to extremisation problems involving random variables. Such problems are commonplace in economics, but rigorous methods are often not taught. This is a shortcoming in economics pedagogy that it is both easy and worthwhile to remedy.
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