Calmness modulus of fully perturbed linear programs

DOI10.1007/s10107-015-0926-xzbMath1370.90267OpenAlexW952611802MaRDI QIDQ304242

Abderrahim Hantoute, Maria J. Cánovas, F. Javier Toledo, Juan Parra

Publication date: 25 August 2016

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10107-015-0926-x

zbMATH Keywords

linear programmingcomplementaritycalmnessvariational analysisdescent methodscalmness modulus

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Linear programming (90C05) Set-valued and variational analysis (49J53) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Complexity and performance of numerical algorithms (65Y20)

Related Items (9)

Outer limit of subdifferentials and calmness moduli in linear and nonlinear programming ⋮ Recent contributions to linear semi-infinite optimization ⋮ An approach to calmness of linear inequality systems from Farkas lemma ⋮ Robust and continuous metric subregularity for linear inequality systems ⋮ Recent contributions to linear semi-infinite optimization: an update ⋮ Critical objective size and calmness modulus in linear programming ⋮ Point-based neighborhoods for sharp calmness constants in linear programming ⋮ Quantitative Analysis for Perturbed Abstract Inequality Systems in Banach Spaces ⋮ Calmness and the Abadie CQ for Multifunctions and Linear Regularity for a Collection of Closed Sets

Cites Work

• Calmness of the feasible set mapping for linear inequality systems
• First Order and Second Order Characterizations of Metric Subregularity and Calmness of Constraint Set Mappings

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