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Showing 1 to 20 of 62 for “"Lagrange multiplier"”.
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A Lagrange multiplier method for solving multi-objective linear programs
Thesis: M.S., Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, 1990
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Pseudonormality and a language multiplier theory for constrained optimization
Lagrange multipliers are central to analytical and computational studies in linear and non-linear optimization and have applications in a wide variety of fields, including communication, networking, economics, and manufacturing. In the past, the main research in Lagrange multiplier theory has …
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Analysis and finite element approximation of an optimal shape control problem for the steady-state Navier-Stokes equations
… using the material derivative method and Lagrange multiplier technique is presented. The use of Lagrange multiplier techniques,from which an optimality system is derived, is justified by applying a method from functional analysis. Finite element discretizations for the domain and …
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Shape optimization theory and applications in hydrodynamics
The Lagrange multiplier theorem and optimal control theory are applied to a continuous shape optimization problem for reducing the wave resistance of a submerged body translating at a steady forward velocity well below a free surface. In the latter approach, when the constraint formed by the …
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Fiscal Competition Among Jurisdictions: Evidence and Methodology
… of the Wald, the Likelihood ratio and the Lagrange multiplier test statistics for spatial lag dependence are based on the GMM estimator suggested by Kelejian and Robinson (1993), and on the work of Newey and West (1987). The tests are asymptotically distributed as chi-squared random …
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Schur's Complement and Discontinuous Galerkin Methods for Domain Decomposition Solvers and Plasticity and Interface Evolution Analyses
… constraint equations and their resulting Lagrange multiplier fields as done in mixed and mortar methods. Without loss of generality we demonstrate our method by analyzing the Stefan problem of solidification.
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Optimization model for consumption taxation in Malaysia: a case study of goods and services tax
… covered both individual and firm. The Lagrange multiplier method was applied to solve the proposed model. The first-order necessary conditions for the model were derived and the computational solutions were obtained in the Excel spreadsheet environment, with the consumption tax varied …
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Complexity management of H.264/AVC video compression.
… prior to motion estimation by estimating a Lagrange ratedistortion cost function. Complexity savings are achieved by not processing the macroblocks that are predicted as "skipped". The Lagrange multiplier is adaptively modelled as a function of the quantisation parameter and video sequence …
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Gradient-Based Optimum Aerodynamic Design Using Adjoint Methods
… functionals are derived through application of a Lagrange Multiplier Theorem. The adjoint system is carefully studied including the adjoint characteristic boundary conditions at the far-field boundary. A super-reduced design formulation is also explored by treating the angle of attack as an …
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Prediction and experimental evaluation of planar wing spanloads for minimum drag
… The optimum spanloads were found using a Lagrange multiplier optimization method. They were designed with a prescribed wing-root bending moment constraint with and without incorporating viscous representation. Wind-tunnel models were created based on the optimum spanloads and the …
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A computer-aided graphic design tool for minimum weight inductors in switching converters
… been considered in implementing the closed form Lagrange Multiplier-based solution to the design problem. A notable feature is the interactive use of design graphs to facilitate a trade-off study between the weight of the inductor, the total losses in the inductor and the peak current stress in …
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Application of smart antennas to wideband code division multiple access : the uplink performance
… is implemented with a LS - DRMTA algorithm and a Lagrange multiplier based algorithm using the Q channel only. The results show that the adaptive antenna arrays offer significant performance enhancement over switched beam and single antennas in a 3G environment (i.e., with mixed traffic).
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Multiprocessing with microprocessors for power flow analyses
… form expression for the calculation of the Lagrange multiplier thereby avoiding any iterative process in the calculation. Different nonlinear programming techniques are compared to the improved method. The algorithm presented is fast and appears to have good convergence properties. The …
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Market thinness and the potential benefits of domestic-only portfolio diversification in Canadian equity markets
… based on the Portmanteau Q and Lagrange Multiplier tests for the time periods examined in this thesis. However, some evidence exists that thin trading induces some heteroscedasticity into the monthly returns of Canadian stocks.
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Systematic coarse-graining of ionic liquid
… adds a constraint to the RE minimization using Lagrange Multiplier in order to reproduce thermodynamic properties such as pressure. The Boltzmann inversion technique is used to obtain the bonded interactions, and the non-bonded and long-range electrostatic interactions are obtained using the …
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Reliability-Based Topology Optimization with Analytic Sensitivities
… of nested functions is developed from the Lagrange Multiplier Theorem and then applied to several Reliability-Based Design Optimization problems, including topology optimization. The proposed approach is computationally efficient, requiring only a single solution of the FORM problem each …
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Quantifying Information Flow with Constraints
… allowing us to apply the standard technique of Lagrange multiplier method. Application of this technique turns out to require development of some novel methods due to the essential use of non-linear (entropy) constraints, in conjunction with the linear dependency constraints. Using these methods …
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Direct numerical simulations and experimental investigation of dielectrophoresis
… simulation scheme based on the distributed Lagrange multiplier method. In this scheme, the fluid flow equations are solved both inside and outside the particle boundaries and flow inside the particle boundary is forced to be a rigid body motion by using the distributed Lagrange multiplier. …
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Design and development of a target-costing model for machining
… on Geometric Programming, Goal Programming, and Lagrange Multiplier have been proposed for application in this industry. These models follow a forward approach, by first selecting a set of machining parameters, and then determining the machining cost. Hence in this study we have developed an …
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A consistent segment procedure for solution of 2D contact problems with large displacements
… the finite element solution. The algorithm is a Lagrange-multiplier based one, with the contact tractions as the additional variables to be solved for. Interpolation orders for which the resulting mixed formulation remains stable and optimal are used to interpolate the contact traction variables. …
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