A convergence result for nonautonomous subgradient evolution equations and its application to the steepest descent exponential penalty trajectory in linear programming

DOI10.1006/jfan.2001.3828zbMath0999.34061OpenAlexW2569816327MaRDI QIDQ5957477

Roberto Cominetti, Jean-Bernard Baillon

Publication date: 26 November 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2001.3828

zbMATH Keywords

linear programmingevolution equationsexponential penalty

Mathematics Subject Classification ID

Linear programming (90C05) Evolution inclusions (34G25) Control problems involving ordinary differential equations (34H05)

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Cites Work

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• Asymptotic behavior of solutions to a class of nonlinear evolution equations
• Nonlinear evolution equations - global behavior of solutions
• Asymptotic convergence of nonlinear contraction semigroups in Hilbert space
• Un exemple concernant le comportement asymptotique de la solution du problème \(du/dt+\partial\varphi(\mu)\ni=0\)
• Asymptotic analysis of the exponential penalty trajectory in linear programming
• A dynamical approach to convex minimization coupling approximation with the steepest descent method
• Steepest descent evolution equations: asymptotic behavior of solutions and rate of convergence
• Viscosity Solutions of Minimization Problems

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