Incomplete Augmented Lagrangian Preconditioner for Steady Incompressible Navier-Stokes Equations [PDF]
The Scientific World Journal, 2013 An incomplete augmented Lagrangian preconditioner, for the steady incompressible Navier-Stokes equations discretized by stable finite elements, is proposed. The eigenvalues of the preconditioned matrix are analyzed.
Ning-Bo Tan, Ting-Zhu Huang, Ze-Jun Hu
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QAL-BP: an augmented Lagrangian quantum approach for bin packing [PDF]
Scientific ReportsThe bin packing is a well-known NP-Hard problem in the domain of artificial intelligence, posing significant challenges in finding efficient solutions. Conversely, recent advancements in quantum technologies have shown promising potential for achieving ...
Lorenzo Cellini +2 more
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An Efficient Augmented Lagrangian Method for Statistical X-Ray CT Image Reconstruction. [PDF]
PLoS ONE, 2015 Statistical iterative reconstruction (SIR) for X-ray computed tomography (CT) under the penalized weighted least-squares criteria can yield significant gains over conventional analytical reconstruction from the noisy measurement.
Jiaojiao Li +8 more
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Using a factored dual in augmented Lagrangian methods for semidefinite programming
Operations Research Letters, 2018 In the context of augmented Lagrangian approaches for solving semidefinite programming problems, we investigate the possibility of eliminating the positive semidefinite constraint on the dual matrix by employing a factorization. Hints on how to deal with
M De Santis +2 more
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Inexact and Stochastic Generalized Conditional Gradient with Augmented Lagrangian and Proximal Step [PDF]
Journal of Nonsmooth Analysis and Optimization, 2021 In this paper we propose and analyze inexact and stochastic versions of the CGALP algorithm developed in [25], which we denote ICGALP , that allow for errors in the computation of several important quantities.
Antonio Silveti-Falls +2 more
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Multilevel augmented Lagrangian solvers for overconstrained contact formulations* [PDF]
ESAIM: Proceedings and Surveys, 2021 Multigrid methods for two-body contact problems are mostly based on special mortar discretizations, nonlinear Gauss-Seidel solvers, and solution-adapted coarse grid spaces. Their high computational efficiency comes at the cost of a complex implementation
Krause Rolf, Weiser Martin
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Generalized Augmented Lagrangian Problem and Approximate Optimal Solutions in Nonlinear Programming
Journal of Inequalities and Applications, 2007 We introduce some approximate optimal solutions and a generalized augmented Lagrangian in nonlinear programming, establish dual function and dual problem based on the generalized augmented Lagrangian, obtain approximate KKT necessary optimality condition
Zhe Chen, Kequan Zhao, Yuke Chen
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SerialTrack: ScalE and rotation invariant augmented Lagrangian particle tracking
SoftwareX, 2022 We present a new particle tracking algorithm for accurately resolving large deformation and rotational motion fields, which takes advantage of both local and global particle tracking algorithms.
Jin Yang +9 more
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Monolithic Solvers for Incompressible Two-Phase Flows at Large Density and Viscosity Ratios
Fluids, 2021 In this paper, we investigate the accuracy and robustness of three classes of methods for solving two-phase incompressible flows on a staggered grid. Here, the unsteady two-phase flow equations are simulated by finite volumes and penalty methods using ...
Mohamed El Ouafa +2 more
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A Filter-SQP strategy for training Support Vector Machine models
REMAT, 2023 This paper introduces a filtering strategy for addressing optimization problems arising in binary Support Vector Machine classification. The training optimization problem aims to solve the dual formulation which involves a quadratic objective function ...
Tiago Lino Bello +3 more
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