Garcia, Carlos ArgaezCánovas, M. J.Parra, J.2025-11-202025-11-202021-07-14Garcia, C A, Cánovas, M J & Parra, J 2021, 'Calmness of Linear Constraint Systems under Structured Perturbations with an Application to the Path-Following Scheme', Set-Valued and Variational Analysis. https://doi.org/10.1007/s11228-021-00597-x0927-6947393241312a3e6929-e9e6-4ec0-be68-8d37c144d28385110671751unpaywall: 10.1007/s11228-021-00597-xhttps://hdl.handle.net/20.500.11815/6408Publisher Copyright: © 2021, The Author(s).We are concerned with finite linear constraint systems in a parametric framework where the right-hand side is an affine function of the perturbation parameter. Such structured perturbations provide a unified framework for different parametric models in the literature, as block, directional and/or partial perturbations of both inequalities and equalities. We extend some recent results about calmness of the feasible set mapping and provide an application to the convergence of a certain path-following algorithmic scheme. We underline the fact that our formula for the calmness modulus depends only on the nominal data, which makes it computable in practice.707994eninfo:eu-repo/semantics/openAccessCalmnessFeasible set mappingLinear programmingLinear systems of equalities and inequalitiesPrimal-dual path-following algorithmAnalysisStatistics and ProbabilityNumerical AnalysisGeometry and TopologyApplied Mathematics/dk/atira/pure/researchoutput/researchoutputtypes/contributiontojournal/article10.1007/s11228-021-00597-x