dc.contributor.author |
Garcia, Carlos Argaez |
dc.contributor.author |
Cánovas, M. J. |
dc.contributor.author |
Parra, J. |
dc.date.accessioned |
2021-11-11T01:01:10Z |
dc.date.available |
2021-11-11T01:01:10Z |
dc.date.issued |
2021-07-14 |
dc.identifier.citation |
Garcia , 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-x |
dc.identifier.issn |
0927-6947 |
dc.identifier.other |
39324131 |
dc.identifier.other |
2a3e6929-e9e6-4ec0-be68-8d37c144d283 |
dc.identifier.other |
85110671751 |
dc.identifier.other |
unpaywall: 10.1007/s11228-021-00597-x |
dc.identifier.uri |
https://hdl.handle.net/20.500.11815/2708 |
dc.description |
Publisher Copyright: © 2021, The Author(s). |
dc.description.abstract |
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. |
dc.format.extent |
707994 |
dc.format.extent |
|
dc.language.iso |
en |
dc.relation.ispartofseries |
Set-Valued and Variational Analysis; () |
dc.rights |
info:eu-repo/semantics/openAccess |
dc.subject |
Forritun |
dc.subject |
Calmness |
dc.subject |
Feasible set mapping |
dc.subject |
Linear programming |
dc.subject |
Linear systems of equalities and inequalities |
dc.subject |
Primal-dual path-following algorithm |
dc.subject |
Analysis |
dc.subject |
Statistics and Probability |
dc.subject |
Numerical Analysis |
dc.subject |
Geometry and Topology |
dc.subject |
Applied Mathematics |
dc.title |
Calmness of Linear Constraint Systems under Structured Perturbations with an Application to the Path-Following Scheme |
dc.type |
/dk/atira/pure/researchoutput/researchoutputtypes/contributiontojournal/article |
dc.description.version |
Peer reviewed |
dc.identifier.doi |
10.1007/s11228-021-00597-x |
dc.relation.url |
http://www.scopus.com/inward/record.url?scp=85110671751&partnerID=8YFLogxK |
dc.contributor.department |
Science Institute |