{"id":25327,"date":"2021-10-14T11:48:28","date_gmt":"2021-10-14T09:48:28","guid":{"rendered":"https:\/\/cio.umh.es\/?p=25327"},"modified":"2022-03-01T12:06:46","modified_gmt":"2022-03-01T11:06:46","slug":"argaez-c-canovas-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-analys","status":"publish","type":"post","link":"https:\/\/cio.umh.es\/en\/2021\/10\/14\/argaez-c-canovas-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-analys\/","title":{"rendered":"Arg\u00e1ez, C., C\u00e1novas, M.J., Parra, J. (2021) \u00abCalmness of Linear Constraint Systems under Structured Perturbations with an Application to the Path-Following Scheme\u00bb, Set-Valued and Variational Analysis, 29: 839\u2013860"},"content":{"rendered":"<p class=\"AuthorHeader-module__syvlN margin-size-4-t\" style=\"text-align: justify\"><strong style=\"font-size: 18px\">Carlos Arg\u00e1ez (Faculty of Physical Sciences, University of Iceland), Mar\u00eda Josefa C\u00e1novas, Juan Parra (<em>University Miguel Hern\u00e1ndez of Elche<\/em>)\u00a0<\/strong><\/p>\n<p style=\"text-align: justify\"><strong>Abstract: <\/strong>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.<\/p>","protected":false},"excerpt":{"rendered":"<p>Carlos Arg\u00e1ez (Faculty of Physical Sciences, University of Iceland), Mar\u00eda Josefa C\u00e1novas, Juan Parra (University Miguel Hern\u00e1ndez of Elche)\u00a0<br \/>\nAbstract: 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 [&#8230;]<\/p>","protected":false},"author":5675,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_links_to":"","_links_to_target":""},"categories":[369888],"tags":[],"_links":{"self":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/25327"}],"collection":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/users\/5675"}],"replies":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/comments?post=25327"}],"version-history":[{"count":0,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/25327\/revisions"}],"wp:attachment":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/media?parent=25327"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/categories?post=25327"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/tags?post=25327"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}