{"id":"https://openalex.org/W2023108419","doi":"https://doi.org/10.1007/bf02109595","title":"On a necessary condition for stability in perturbed linear and convex programming","display_name":"On a necessary condition for stability in perturbed linear and convex programming","publication_year":1987,"publication_date":"1987-09-01","ids":{"openalex":"https://openalex.org/W2023108419","doi":"https://doi.org/10.1007/bf02109595","mag":"2023108419"},"language":"en","primary_location":{"id":"doi:10.1007/bf02109595","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02109595","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Zeitschrift f\u00fcr Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045425065","display_name":"John H. Semple","orcid":null},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Semple","raw_affiliation_strings":["Center for Cybernetic Studies, The University of Texas, 78712, Austin, Texas, USA","Center for Cybernetic Studies, The University of Texas, Austin, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Cybernetic Studies, The University of Texas, 78712, Austin, Texas, USA","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"Center for Cybernetic Studies, The University of Texas, Austin, USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046096217","display_name":"S. Zlobec","orcid":null},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"S. Zlobec","raw_affiliation_strings":["Department of Mathematics and Statistics, McGill University, Burnside Hall, 805 Sherbrooke Street West, H3A 2K6, Montreal, Quebec, Canada","Department of Mathematics & Statistics, McGill University, Montreal, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, McGill University, Burnside Hall, 805 Sherbrooke Street West, H3A 2K6, Montreal, Quebec, Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"Department of Mathematics & Statistics, McGill University, Montreal, Canada","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.6661,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.89165157,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"31","issue":"5","first_page":"A161","last_page":"A172"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9829999804496765,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.7527467012405396},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.6626231670379639},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6208095550537109},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5640372633934021},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5603252649307251},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.49274519085884094},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46257784962654114},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.4420316815376282},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4174532890319824},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.4169190526008606},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3634827136993408},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3200927972793579},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08480855822563171}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7527467012405396},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6626231670379639},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6208095550537109},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5640372633934021},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5603252649307251},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.49274519085884094},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46257784962654114},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.4420316815376282},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4174532890319824},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.4169190526008606},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3634827136993408},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3200927972793579},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08480855822563171},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02109595","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02109595","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Zeitschrift f\u00fcr Operations Research","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","display_name":"Climate action","score":0.6600000262260437}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W198787876","https://openalex.org/W596071953","https://openalex.org/W1513869646","https://openalex.org/W1556022676","https://openalex.org/W1572204513","https://openalex.org/W1994325510","https://openalex.org/W2023867545","https://openalex.org/W2030678887","https://openalex.org/W2063435908","https://openalex.org/W2084163039","https://openalex.org/W2086835013","https://openalex.org/W2089158257","https://openalex.org/W2130968163","https://openalex.org/W2167013561","https://openalex.org/W2332194012","https://openalex.org/W2726748435"],"related_works":["https://openalex.org/W1808520126","https://openalex.org/W2020788389","https://openalex.org/W2147442790","https://openalex.org/W2379295215","https://openalex.org/W4728229","https://openalex.org/W4387410785","https://openalex.org/W2045015574","https://openalex.org/W1895744421","https://openalex.org/W2347536774","https://openalex.org/W2765710841"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}