Ill-Conditioned Convex Processes and Conic Linear Systems

DOI10.1287/moor.24.4.829zbMath1074.90559OpenAlexW2157652431MaRDI QIDQ2757611

Adrian S. Lewis

Publication date: 26 November 2001

Published in: Mathematics of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1287/moor.24.4.829

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Special problems of linear programming (transportation, multi-index, data envelopment analysis, etc.) (90C08) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Conditioning of matrices (15A12)

Related Items (15)

Extended semismooth Newton method for functions with values in a cone ⋮ Some results on condition numbers in convex multiobjective optimization ⋮ A characterization of the distance to infeasibility under block-structured perturbations ⋮ METRIC REGULARITY—A SURVEY PART II. APPLICATIONS ⋮ Unnamed Item ⋮ On regularity of convex multifunctions ⋮ On the block-structured distance to non-surjectivity of sublinear mappings ⋮ Conic systems and sublinear mappings: equivalent approaches. ⋮ Perturbations and metric regularity ⋮ Convexity and Variational Analysis ⋮ New characterizations of Hoffman constants for systems of linear constraints ⋮ The condition number of a function relative to a set ⋮ Condition Number Theorems in Linear-Quadratic Optimization ⋮ Metric regularity of semi-infinite constraint systems ⋮ The radius of metric regularity

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