{"id":"https://openalex.org/W2105260964","doi":"https://doi.org/10.1137/s1052623497315768","title":"Approximation Schemes for Infinite Linear Programs","display_name":"Approximation Schemes for Infinite Linear Programs","publication_year":1998,"publication_date":"1998-11-01","ids":{"openalex":"https://openalex.org/W2105260964","doi":"https://doi.org/10.1137/s1052623497315768","mag":"2105260964"},"language":"en","primary_location":{"id":"doi:10.1137/s1052623497315768","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623497315768","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","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/A5060670677","display_name":"On\u00e9simo Hern\u00e1ndez\u2013Lerma","orcid":"https://orcid.org/0000-0003-3308-5218"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"On\u00e9simo Hern\u00e1ndez-Lerma","raw_affiliation_strings":["CINVESTAV#TAB#"],"affiliations":[{"raw_affiliation_string":"CINVESTAV#TAB#","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006670993","display_name":"Jean B. Lasserre","orcid":"https://orcid.org/0000-0003-0860-9913"},"institutions":[{"id":"https://openalex.org/I190497903","display_name":"Laboratoire d'Analyse et d'Architecture des Syst\u00e8mes","ror":"https://ror.org/03vcm6439","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I190497903","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210159245","https://openalex.org/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean B. Lasserre","raw_affiliation_strings":["Laboratory for Analysis and Architecture of Systems"],"affiliations":[{"raw_affiliation_string":"Laboratory for Analysis and Architecture of Systems","institution_ids":["https://openalex.org/I190497903"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5060670677"],"corresponding_institution_ids":["https://openalex.org/I68368234"],"apc_list":null,"apc_paid":null,"fwci":1.842,"has_fulltext":false,"cited_by_count":65,"citation_normalized_percentile":{"value":0.86881525,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"8","issue":"4","first_page":"973","last_page":"988"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994999766349792,"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":0.9994999766349792,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9993000030517578,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9943000078201294,"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":0.8118520975112915},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.7269555926322937},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.6539444327354431},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5482110381126404},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48253437876701355},{"id":"https://openalex.org/keywords/linear-approximation","display_name":"Linear approximation","score":0.47530779242515564},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.45418041944503784},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.42517632246017456},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1651848554611206},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06158223748207092}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8118520975112915},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.7269555926322937},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6539444327354431},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5482110381126404},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48253437876701355},{"id":"https://openalex.org/C160824197","wikidata":"https://www.wikidata.org/wiki/Q2071054","display_name":"Linear approximation","level":3,"score":0.47530779242515564},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.45418041944503784},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.42517632246017456},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1651848554611206},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06158223748207092},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1052623497315768","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623497315768","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W357773498","https://openalex.org/W1547644141","https://openalex.org/W1594278185","https://openalex.org/W1972445600","https://openalex.org/W1985040464","https://openalex.org/W1998148222","https://openalex.org/W2000692772","https://openalex.org/W2004187507","https://openalex.org/W2010654234","https://openalex.org/W2012263782","https://openalex.org/W2025029506","https://openalex.org/W2028920933","https://openalex.org/W2042566096","https://openalex.org/W2075887074","https://openalex.org/W2077894983","https://openalex.org/W2116228093","https://openalex.org/W2314583506","https://openalex.org/W2323201333","https://openalex.org/W2596682183","https://openalex.org/W2802739963","https://openalex.org/W2928176981","https://openalex.org/W3160019363"],"related_works":["https://openalex.org/W2112284452","https://openalex.org/W3202999461","https://openalex.org/W4214624958","https://openalex.org/W4205332774","https://openalex.org/W2049150502","https://openalex.org/W3085798047","https://openalex.org/W2374269412","https://openalex.org/W371123309","https://openalex.org/W2023374895","https://openalex.org/W2038640002"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"approximation":[3],"schemes":[4],"for":[5,46,54],"an":[6,51],"infinite":[7],"linear":[8,31],"program.":[9],"In":[10],"particular,":[11],"it":[12],"is":[13,50],"shown":[14],"that,":[15,34],"under":[16],"suitable":[17],"assumptions,":[18],"the":[19,27,47,55],"program's":[20],"optimum":[21],"value":[22],"can":[23],"be":[24],"approximated":[25],"by":[26],"values":[28],"of":[29,40,43],"finite-dimensional":[30],"programs,":[32],"and":[33],"in":[35],"addition,":[36],"every":[37],"accumulation":[38],"point":[39],"a":[41],"sequence":[42],"optimal":[44,52],"solutions":[45],"approximating":[48],"programs":[49],"solution":[53],"original":[56],"problem.":[57]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}