Comments on: Stability in linear optimization and related topics. A personal tour

DOI10.1007/s11750-011-0217-5zbMath1257.90094OpenAlexW2065319631MaRDI QIDQ5970638

Diethard Klatte

Publication date: 26 February 2013

Published in: Top (Search for Journal in Brave)

Full work available at URL: https://www.zora.uzh.ch/id/eprint/67234/1/TOP-Marco_klatte.pdf

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Programming in abstract spaces (90C48) Semi-infinite programming (90C34)

Cites Work

• Unnamed Item
• Optimization methods and stability of inclusions in Banach spaces
• The sharp Lipschitz constants for feasible and optimal solutions of a perturbed linear program
• Bounds for error in the solution set of a perturbed linear program
• A note of Lipschitz constants for solutions of linear inequalities and equations
• Inclusions in general spaces: Hoelder stability, solution schemes and Ekeland's principle
• Regularity modulus of arbitrarily perturbed linear inequality systems
• Calmness of constraint systems with applications
• Error Bounds for Lower Semicontinuous Functions in Normed Spaces
• On the Sensitivity Analysis of Hoffman Constants for Systems of Linear Inequalities
• Sharp Lipschitz Constants for Basic Optimal Solutions and Basic Feasible Solutions of Linear Programs
• Perturbation Analysis of a Condition Number for Linear Systems
• Sharp Estimates for Hoffman's Constant for Systems of Linear Inequalities and Equalities
• Lipschitz Continuity of Solutions of Linear Inequalities, Programs and Complementarity Problems
• Error bounds for solutions of linear equations and inequalities

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