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On multilevel iterative methods for optimization problems
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-3-662-02427-0openalex-snapshot
Multi-Grid Methods and Applications
inferredcites →https://doi.org/10.1007/bf01268170openalex-snapshot
Solution of symmetric linear complementarity problems by iterative methods
inferredcites →https://doi.org/10.1007/bf01400918openalex-snapshot
On multi-grid methods for variational inequalities
inferredcites →https://doi.org/10.1007/bf01442171openalex-snapshot
A multilevel iterative method for symmetric, positive definite linear complementarity problems
inferredcites →https://doi.org/10.1007/bfb0120964openalex-snapshot
On the convergence of a block successive over-relaxation method for a class of linear complementarity problems
inferredcites →https://doi.org/10.1016/0024-3795(82)90242-7openalex-snapshot
Acceleration by aggregation of successive approximation methods
inferredcites →https://doi.org/10.1016/0024-3795(83)90157-xopenalex-snapshot
A local convergence proof for the iterative aggregation method
inferredcites →https://doi.org/10.1016/0305-0548(93)90042-hopenalex-snapshot
Nonlinear programming: theory and algorithms
inferredcites →https://doi.org/10.1016/0898-1221(77)90071-2openalex-snapshot
Nonlinear Programming Analysis and Methods
inferredcites →https://doi.org/10.1016/s0168-2024(08)x7016-xopenalex-snapshot
Numerical Analysis of Variational Inequalities
inferredcites →https://doi.org/10.1057/jors.1979.231openalex-snapshot
Nonlinear Programming -- Theory and Algorithms
inferredcites →https://doi.org/10.1090/s0025-5718-1977-0431719-xopenalex-snapshot
Multi-Level Adaptive Solutions to Boundary-Value Problems
inferredcites →https://doi.org/10.1090/s0025-5718-1980-0559194-5openalex-snapshot
Convergence of Multi-Grid Iterations Applied to Difference Equations
inferredcites →https://doi.org/10.1090/s0273-0979-1983-15096-6openalex-snapshot
Book Review: Numerical analysis of variational inequalities
inferredcites →https://doi.org/10.1137/0317052openalex-snapshot
Nonlinear Perturbation of Linear Programs
inferredcites →https://doi.org/10.1137/0718039openalex-snapshot
Iterative Solution of Linear Programs
inferredcites →https://doi.org/10.1137/0904046openalex-snapshot
Multigrid Algorithms for the Solution of Linear Complementarity Problems Arising from Free Boundary Problems
inferredcites →https://doi.org/10.1287/opre.13.1.82openalex-snapshot
Solution of Large-Scale Transportation Problems Through Aggregation
inferredcites →https://doi.org/10.1287/opre.28.2.403openalex-snapshot
Bounds on the Effect of Aggregating Variables in Linear Programs
inferredcites →https://doi.org/10.1287/opre.28.4.903openalex-snapshot
Bounds for Row-Aggregation in Linear Programming
inferredcites →https://doi.org/10.2307/1909424openalex-snapshot
Nonlinear Programming: A Unified Approach
inferredcites →https://doi.org/10.2307/1914133openalex-snapshot
Iterative Aggregation--A New Approach to the Solution of Large-Scale Problems
inferredcites →https://doi.org/10.2307/2007354openalex-snapshot
Numerical Analysis of Variational Inequalities.
inferredcites →https://doi.org/10.2307/2343701openalex-snapshot
Nonlinear Programming: A Unified Approach.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Patch‐smoother and multigrid for the dual formulation for linear elasticity
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Multigrid for the dual formulation of the frictionless Signorini problem
inferred← citeshttps://doi.org/10.1007/978-3-030-95025-5_37openalex-snapshot
A Multilevel Active-Set Trust-Region (MASTR) Method for Bound Constrained Minimization
inferred← citeshttps://doi.org/10.1007/978-3-031-50769-4_38openalex-snapshot
Nonlinear Schwarz Preconditioning for Nonlinear Optimization Problems with Bound Constraints
inferred← citeshttps://doi.org/10.1007/978-3-319-05789-7_85openalex-snapshot
A Non Overlapping Domain Decomposition Method for the Obstacle Problem
inferred← citeshttps://doi.org/10.1007/978-3-319-18827-0_43openalex-snapshot
Globally Convergent Multigrid Method for Variational Inequalities with a Nonlinear Term
inferred← citeshttps://doi.org/10.1007/978-3-642-02677-5_13openalex-snapshot
A Recursive Trust-Region Method for Non-Convex Constrained Minimization
inferred← citeshttps://doi.org/10.1007/978-94-007-5320-4_13openalex-snapshot
Efficient Numerical Multilevel Methods for the Optimization of Gas Turbine Combustion Chambers
inferred← citeshttps://doi.org/10.1007/bf01581695openalex-snapshot
A nonsmooth Newton method for variational inequalities, I: Theory
inferred← citeshttps://doi.org/10.1007/bf01581696openalex-snapshot
A nonsmooth Newton method for variational inequalities, II: Numerical results
inferred← citeshttps://doi.org/10.1007/bf01582262openalex-snapshot
Newton's method for the nonlinear complementarity problem: A B-differentiable equation approach
inferred← citeshttps://doi.org/10.1007/s002110050050openalex-snapshot
An iterative two-step algorithm for linear complementarity problems
inferred← citeshttps://doi.org/10.1007/s007910100052openalex-snapshot
Adaptive multigrid methods for Signorini's problem in linear elasticity
inferred← citeshttps://doi.org/10.1007/s10589-016-9842-0openalex-snapshot
A two-level approach to large mixed-integer programs with application to cogeneration in energy-efficient buildings
inferred← citeshttps://doi.org/10.1016/j.cma.2019.112720openalex-snapshot
A recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture
inferred← citeshttps://doi.org/10.1016/s0065-2539(08)60915-4openalex-snapshot
Some Recent Advances in Multigrid Methods
inferred← citeshttps://doi.org/10.1023/a:1021781318170openalex-snapshot
Extended Projection Methods for Monotone Variational Inequalities
inferred← citeshttps://doi.org/10.1080/00207160701713581openalex-snapshot
A mixed strategy of combining evolutionary algorithms with multigrid methods
inferred← citeshttps://doi.org/10.1080/10556780903239295openalex-snapshot
Numerical experience with a recursive trust-region method for multilevel nonlinear bound-constrained optimization
inferred← citeshttps://doi.org/10.1080/10556788.2012.759571openalex-snapshot
Properties of a class of multilevel optimization algorithms for equality-constrained problems
inferred← citeshttps://doi.org/10.1080/10556788.2016.1146267openalex-snapshot
A first-order multigrid method for bound-constrained convex optimization
inferred← citeshttps://doi.org/10.1090/mcom/3526openalex-snapshot
Convergence analysis of the Fast Subspace Descent method for convex optimization problems
inferred← citeshttps://doi.org/10.1090/s0025-5718-01-01311-4openalex-snapshot
Global and uniform convergence of subspace correction methods for some convex optimization problems
inferred← citeshttps://doi.org/10.1090/s0025-5718-01-01344-8openalex-snapshot
Convergence rate analysis of an asynchronous space decomposition method for convex Minimization
inferred← citeshttps://doi.org/10.1093/imanum/drn034openalex-snapshot
A recursive Formula-trust-region method for bound-constrained nonlinear optimization
inferred← citeshttps://doi.org/10.1093/imanum/drs054openalex-snapshot
Global convergence rate of a standard multigrid method for variational inequalities
inferred← citeshttps://doi.org/10.1137/040617698openalex-snapshot
Projection Multilevel Methods for Quasilinear Elliptic Partial Differential Equations: Numerical Results
inferred← citeshttps://doi.org/10.1137/050623012openalex-snapshot
Recursive Trust-Region Methods for Multiscale Nonlinear Optimization
inferred← citeshttps://doi.org/10.1137/050648699openalex-snapshot
Uniform Convergence of a Nonlinear Energy-Based Multilevel Quantization Scheme
inferred← citeshttps://doi.org/10.1137/s1064827502407792openalex-snapshot
Model Problems for the Multigrid Optimization of Systems Governed by Differential Equations
inferred← citeshttps://doi.org/10.13021/mars/6915openalex-snapshot
A multigrid optimization framework for vector quantization
inferred← citeshttps://doi.org/10.13052/remn.17.169-197openalex-snapshot
Multi-level gradient-based methods and parametrisation in aerodynamic shape design
inferred← citeshttps://doi.org/10.2514/6.2000-4890openalex-snapshot
A multigrid approach to the optimization of systems governed by differential equations
inferred← citeshttps://doi.org/10.3934/dcdss.2013.6.1457openalex-snapshot
Multigrid methods for some quasi-variational inequalities
inferred← citeshttps://doi.org/10.4208/jcm.v27.n1.p1openalex-snapshot
Multigrid Methods for Obstacle Problems
inferred← citeshttps://doi.org/10.48550/arxiv.1810.04116openalex-snapshot
Convergence Analysis of the Fast Subspace Descent Methods for Convex Optimization Problems
inferred← citeshttps://doi.org/10.48550/arxiv.2006.06589openalex-snapshot
Randomized Fast Subspace Descent Methods
inferred← citeshttps://doi.org/10.5370/jeet.2006.1.4.455openalex-snapshot
A Study on the Convergency Property of the Auxiliary Problem Principle
inferred← citeshttps://doi.org/10.5370/jeet.2007.2.3.335openalex-snapshot
An Efficient Implementation of Decentralized Optimal Power Flow
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