{"id":"https://openalex.org/W2150652085","doi":"https://doi.org/10.1007/bf01582214","title":"A note on exploiting structure when using slack variables","display_name":"A note on exploiting structure when using slack variables","publication_year":1994,"publication_date":"1994-10-01","ids":{"openalex":"https://openalex.org/W2150652085","doi":"https://doi.org/10.1007/bf01582214","mag":"2150652085"},"language":"en","primary_location":{"id":"doi:10.1007/bf01582214","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01582214","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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/A5103149740","display_name":"Andrew R. Conn","orcid":"https://orcid.org/0000-0001-7470-1035"},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]},{"id":"https://openalex.org/I4210114115","display_name":"IBM Research - Thomas J. Watson Research Center","ror":"https://ror.org/0265w5591","country_code":"US","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. R. Conn","raw_affiliation_strings":["IBM, T.J. Watson Research Center, P.O. Box 218, 10598, Yorktown Heights, New York, USA","IBM, T.J. Watson Research Center, Yorktown Heights, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM, T.J. Watson Research Center, P.O. Box 218, 10598, Yorktown Heights, New York, USA","institution_ids":["https://openalex.org/I4210114115","https://openalex.org/I1341412227"]},{"raw_affiliation_string":"IBM, T.J. Watson Research Center, Yorktown Heights, USA","institution_ids":["https://openalex.org/I4210114115"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Nick Gould","orcid":null},"institutions":[{"id":"https://openalex.org/I4210106946","display_name":"Centre Europ\u00e9en de Recherche et de Formation Avanc\u00e9e en Calcul Scientifique","ror":"https://ror.org/02dzbc556","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4210106946"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nick Gould","raw_affiliation_strings":["CERFACS, 42 Avenue Gustave Coriolis, 31057, Toulouse Cedex, France","CERFACS, Toulouse Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CERFACS, 42 Avenue Gustave Coriolis, 31057, Toulouse Cedex, France","institution_ids":["https://openalex.org/I4210106946"]},{"raw_affiliation_string":"CERFACS, Toulouse Cedex, France","institution_ids":["https://openalex.org/I4210106946"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002913605","display_name":"Philippe L. Toint","orcid":"https://orcid.org/0000-0002-6166-1860"},"institutions":[{"id":"https://openalex.org/I149768937","display_name":"University of Namur","ror":"https://ror.org/03d1maw17","country_code":"BE","type":"education","lineage":["https://openalex.org/I149768937"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Ph. L. Toint","raw_affiliation_strings":["Department of Mathematics, Facult\u00e9s Universitaires ND de la Paix, 61, rue de Bruxelles, B-5000, Namur, Belgium","Department of Mathematics, Facult\u00e9s Universitaires ND de la Paix, Namur, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Facult\u00e9s Universitaires ND de la Paix, 61, rue de Bruxelles, B-5000, Namur, Belgium","institution_ids":["https://openalex.org/I149768937"]},{"raw_affiliation_string":"Department of Mathematics, Facult\u00e9s Universitaires ND de la Paix, Namur, Belgium","institution_ids":["https://openalex.org/I149768937"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.6418,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.84943182,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"67","issue":"1-3","first_page":"89","last_page":"97"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"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":0.9947999715805054,"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"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9915000200271606,"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/mathematics","display_name":"Mathematics","score":0.7932608127593994},{"id":"https://openalex.org/keywords/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.7284995913505554},{"id":"https://openalex.org/keywords/exploit","display_name":"Exploit","score":0.7123550772666931},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5461782217025757},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5418033003807068},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.488768070936203},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.44580143690109253},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41913938522338867},{"id":"https://openalex.org/keywords/linear-algebra","display_name":"Linear algebra","score":0.41455674171447754},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.4136631190776825},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.37774285674095154},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15914452075958252},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12000644207000732},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10101708769798279},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07104912400245667}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7932608127593994},{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.7284995913505554},{"id":"https://openalex.org/C165696696","wikidata":"https://www.wikidata.org/wiki/Q11287","display_name":"Exploit","level":2,"score":0.7123550772666931},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5461782217025757},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5418033003807068},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.488768070936203},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.44580143690109253},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41913938522338867},{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.41455674171447754},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.4136631190776825},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37774285674095154},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15914452075958252},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12000644207000732},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10101708769798279},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07104912400245667},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/bf01582214","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01582214","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:pure.unamur.be:openaire_cris_publications/7d478f06-7c07-42d2-a958-93c33cca544e","is_oa":false,"landing_page_url":"https://researchportal.unamur.be/en/publications/7d478f06-7c07-42d2-a958-93c33cca544e","pdf_url":null,"source":{"id":"https://openalex.org/S4406922457","display_name":"Repository of the University of Namur","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Conn, A, Gould, N & Toint, P 1994, 'A note on exploiting structure when using slack variables', Mathematical Programming, vol. 67, no. 1, pp. 89-97. https://doi.org/10.1007/BF01582214","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:dial.uclouvain.be:boreal:99954","is_oa":false,"landing_page_url":"http://hdl.handle.net/2078.2/99954","pdf_url":null,"source":{"id":"https://openalex.org/S4306401902","display_name":"Digital Access to Libraries (Universit\u00e9 catholique de Louvain (UCL), l'Universit\u00e9 de Namur (UNamur) and the Universit\u00e9 Saint-Louis (USL-B))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I95674353","host_organization_name":"UCLouvain","host_organization_lineage":["https://openalex.org/I95674353"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de p\u00c3\u00a9riodique (Journal article)"},{"id":"pmh:oai:epubs.cclrc.ac.uk:work/25278","is_oa":false,"landing_page_url":"http://purl.org/net/epubs/work/25278","pdf_url":null,"source":{"id":"https://openalex.org/S4306400334","display_name":"Science and Technology Facilities Council","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:epubs.cclrc.ac.uk:work/39818","is_oa":false,"landing_page_url":"http://purl.org/net/epubs/work/39818","pdf_url":null,"source":{"id":"https://openalex.org/S4306400334","display_name":"Science and Technology Facilities Council","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5899999737739563,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W16654297","https://openalex.org/W1502501036","https://openalex.org/W2007014371","https://openalex.org/W2013737143","https://openalex.org/W2032756980","https://openalex.org/W2049421260","https://openalex.org/W2057624533","https://openalex.org/W2082003847","https://openalex.org/W2107501462","https://openalex.org/W2127470768","https://openalex.org/W2148589597","https://openalex.org/W2157590940","https://openalex.org/W2162988958","https://openalex.org/W3012080241","https://openalex.org/W3022136271","https://openalex.org/W3027959458","https://openalex.org/W4236316114","https://openalex.org/W4252894371","https://openalex.org/W4285719527","https://openalex.org/W4301216918"],"related_works":["https://openalex.org/W1496222301","https://openalex.org/W2315802443","https://openalex.org/W2525212141","https://openalex.org/W2076161359","https://openalex.org/W2376104286","https://openalex.org/W2082353735","https://openalex.org/W2046159525","https://openalex.org/W2375548073","https://openalex.org/W4303436995","https://openalex.org/W1989227410"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2016-06-24T00:00:00"}
