Constrained optimization: Projected gradient flows

DOI10.1007/s10957-008-9445-8zbMath1226.90107OpenAlexW2080667760MaRDI QIDQ1024245

Oliver Stein, Vladimir Shikhman

Publication date: 16 June 2009

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-008-9445-8

zbMATH Keywords

constrained optimizationgradient systemsvariable metric algorithmsprojected gradient algorithmsquadratic slack variables

Mathematics Subject Classification ID

Nonlinear programming (90C30) Methods of reduced gradient type (90C52)

Related Items (2)

A sequential homotopy method for mathematical programming problems ⋮ Null space gradient flows for constrained optimization with applications to shape optimization

Cites Work

• ODE versus SQP methods for constrained optimization
• A geometric method in nonlinear programming
• Differential gradient methods
• Smooth nonlinear optimization of \(\mathbb R^n\)
• On the complexity of equalizing inequalities
• Nonlinear optimization in finite dimensions. Morse theory, Chebyshev approximation, transversality, flows, parametric aspects
• A differential equation approach to nonlinear programming
• A dynamical systems approach to constrained minimization
• One-step and multistep procedures for constrained minimization problems
• The Gradient Projection Method for Nonlinear Programming. Part II. Nonlinear Constraints
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