On R-linear convergence of semi-monotonic inexact augmented Lagrangians for bound and equality constrained quadratic programming problems with application

DOI10.1016/j.camwa.2013.11.009zbMath1350.65059OpenAlexW1996771514MaRDI QIDQ316515

David Horák, Tomáš Brzobohatý, Petr Vodstrčil, Tomáš Kozubek, Zdeněk Dostál

Publication date: 27 September 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.11.009

zbMATH Keywords

algorithmconvergencequadratic programmingregularizationerror boundscontact problemnumerical experimentadaptive precision controlbound and equality constraintsinexact augmented Lagrangians

Mathematics Subject Classification ID

Related Items (3)

Optimal iterative QP and QPQC algorithms ⋮ Reducing and Calibrating for Input Model Bias in Computer Simulation ⋮ Reorthogonalization‐based stiffness preconditioning in FETI algorithms with applications to variational inequalities

Uses Software

• MatSol

Cites Work

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• An optimal algorithm for bound and equality constrained quadratic programming problems with bounded spectrum
• Optimal quadratic programming algorithms. With applications to variational inequalities
• Analysis and implementation of a dual algorithm for constrained optimization
• Minimizing quadratic functions subject to bound constraints with the rate of convergence and finite termination
• Scalable total BETI based solver for 3D multibody frictionless contact problems in mechanical engineering
• Multiplier and gradient methods
• A Globally Convergent Augmented Lagrangian Algorithm for Optimization with General Constraints and Simple Bounds
• The all-floating boundary element tearing and interconnecting method
• Scalable TFETI algorithm for the solution of multibody contact problems of elasticity
• A method of finite element tearing and interconnecting and its parallel solution algorithm
• Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems
• Augmented Lagrangians with Adaptive Precision Control for Quadratic Programming with Simple Bounds and Equality Constraints
• A Globally Convergent Linearly Constrained Lagrangian Method for Nonlinear Optimization
• Global and Finite Termination of a Two-Phase Augmented Lagrangian Filter Method for General Quadratic Programs

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