{"id":"https://openalex.org/W2082451773","doi":"https://doi.org/10.1007/bf02614322","title":"Error bounds in mathematical programming","display_name":"Error bounds in mathematical programming","publication_year":1997,"publication_date":"1997-10-01","ids":{"openalex":"https://openalex.org/W2082451773","doi":"https://doi.org/10.1007/bf02614322","mag":"2082451773"},"language":"en","primary_location":{"id":"doi:10.1007/bf02614322","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02614322","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/A5002789695","display_name":"Jong\u2010Shi Pang","orcid":"https://orcid.org/0000-0002-2224-6787"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jong-Shi Pang","raw_affiliation_strings":["Department of Mathematical Sciences, The Johns Hopkins University, 21218-2682, Baltimore, MD, USA","Department of Mathematical Sciences, The Johns Hopkins University, Baltimore, USA 21218-2682#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, The Johns Hopkins University, 21218-2682, Baltimore, MD, USA","institution_ids":["https://openalex.org/I145311948"]},{"raw_affiliation_string":"Department of Mathematical Sciences, The Johns Hopkins University, Baltimore, USA 21218-2682#TAB#","institution_ids":["https://openalex.org/I145311948"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5002789695"],"corresponding_institution_ids":["https://openalex.org/I145311948"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":13.9347,"has_fulltext":false,"cited_by_count":450,"citation_normalized_percentile":{"value":0.99319851,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"79","issue":"1-3","first_page":"299","last_page":"332"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9994999766349792,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9944999814033508,"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":0.6159120798110962},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5984904766082764},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5545847415924072},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.42604684829711914},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3585495948791504},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33943045139312744}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6159120798110962},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5984904766082764},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5545847415924072},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.42604684829711914},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3585495948791504},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33943045139312744},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf02614322","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02614322","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:ddd.uab.cat:125","is_oa":false,"landing_page_url":"https://ddd.uab.cat/record/125","pdf_url":null,"source":{"id":"https://openalex.org/S4306400380","display_name":"Dip\u00f2sit Digital de Documents de la UAB (Universitat Aut\u00f2noma de Barcelona)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I123044942","host_organization_name":"Universitat Aut\u00f2noma de Barcelona","host_organization_lineage":["https://openalex.org/I123044942"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5199999809265137,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":163,"referenced_works":["https://openalex.org/W82672431","https://openalex.org/W104144503","https://openalex.org/W135911866","https://openalex.org/W217831350","https://openalex.org/W372364085","https://openalex.org/W606453859","https://openalex.org/W631679410","https://openalex.org/W641167758","https://openalex.org/W654824284","https://openalex.org/W1481359246","https://openalex.org/W1484458065","https://openalex.org/W1489887087","https://openalex.org/W1509448450","https://openalex.org/W1519983590","https://openalex.org/W1519983908","https://openalex.org/W1540131774","https://openalex.org/W1551360398","https://openalex.org/W1564612581","https://openalex.org/W1573181750","https://openalex.org/W1583089965","https://openalex.org/W1594537858","https://openalex.org/W1599532185","https://openalex.org/W1948466936","https://openalex.org/W1964879221","https://openalex.org/W1964995199","https://openalex.org/W1965946411","https://openalex.org/W1967575016","https://openalex.org/W1969073096","https://openalex.org/W1969594194","https://openalex.org/W1972223440","https://openalex.org/W1972312845","https://openalex.org/W1973794046","https://openalex.org/W1975017829","https://openalex.org/W1976086748","https://openalex.org/W1976772621","https://openalex.org/W1977904123","https://openalex.org/W1978115826","https://openalex.org/W1978320424","https://openalex.org/W1981931298","https://openalex.org/W1982325686","https://openalex.org/W1985348591","https://openalex.org/W1987407109","https://openalex.org/W1989357184","https://openalex.org/W1990883342","https://openalex.org/W1991607307","https://openalex.org/W1992769584","https://openalex.org/W1993647205","https://openalex.org/W1994229564","https://openalex.org/W1995158804","https://openalex.org/W1995227244","https://openalex.org/W1996503257","https://openalex.org/W1997398055","https://openalex.org/W2000123997","https://openalex.org/W2000151369","https://openalex.org/W2001029860","https://openalex.org/W2002561307","https://openalex.org/W2007573546","https://openalex.org/W2007909218","https://openalex.org/W2008063657","https://openalex.org/W2008195537","https://openalex.org/W2008832947","https://openalex.org/W2009890638","https://openalex.org/W2010295352","https://openalex.org/W2010337082","https://openalex.org/W2013850411","https://openalex.org/W2013876250","https://openalex.org/W2018508199","https://openalex.org/W2019015034","https://openalex.org/W2019725228","https://openalex.org/W2019844263","https://openalex.org/W2020708563","https://openalex.org/W2022853838","https://openalex.org/W2024483461","https://openalex.org/W2026418020","https://openalex.org/W2027378843","https://openalex.org/W2027583163","https://openalex.org/W2032330602","https://openalex.org/W2033186119","https://openalex.org/W2033511209","https://openalex.org/W2033604629","https://openalex.org/W2035321137","https://openalex.org/W2036832091","https://openalex.org/W2036856385","https://openalex.org/W2039110906","https://openalex.org/W2039711078","https://openalex.org/W2041551615","https://openalex.org/W2046211956","https://openalex.org/W2046872182","https://openalex.org/W2047341913","https://openalex.org/W2050864977","https://openalex.org/W2052822180","https://openalex.org/W2054940342","https://openalex.org/W2057678278","https://openalex.org/W2058894726","https://openalex.org/W2059380732","https://openalex.org/W2059949141","https://openalex.org/W2061689074","https://openalex.org/W2061907550","https://openalex.org/W2064114733","https://openalex.org/W2065186854","https://openalex.org/W2066160765","https://openalex.org/W2066932332","https://openalex.org/W2067951301","https://openalex.org/W2070791248","https://openalex.org/W2070815098","https://openalex.org/W2072058266","https://openalex.org/W2072808760","https://openalex.org/W2074292837","https://openalex.org/W2075226379","https://openalex.org/W2075379600","https://openalex.org/W2076134677","https://openalex.org/W2079340989","https://openalex.org/W2080803951","https://openalex.org/W2085563112","https://openalex.org/W2088109187","https://openalex.org/W2088241859","https://openalex.org/W2089741384","https://openalex.org/W2090084467","https://openalex.org/W2090963365","https://openalex.org/W2093246563","https://openalex.org/W2093417350","https://openalex.org/W2095929557","https://openalex.org/W2097551456","https://openalex.org/W2099679613","https://openalex.org/W2107710567","https://openalex.org/W2108252660","https://openalex.org/W2116598569","https://openalex.org/W2119905956","https://openalex.org/W2121445773","https://openalex.org/W2128234186","https://openalex.org/W2135978105","https://openalex.org/W2145867192","https://openalex.org/W2149519542","https://openalex.org/W2151902790","https://openalex.org/W2152113502","https://openalex.org/W2153745131","https://openalex.org/W2160068964","https://openalex.org/W2160775101","https://openalex.org/W2172127152","https://openalex.org/W2228687287","https://openalex.org/W2235664639","https://openalex.org/W2296593147","https://openalex.org/W2331229340","https://openalex.org/W2334285086","https://openalex.org/W2483336684","https://openalex.org/W2604223297","https://openalex.org/W2798766386","https://openalex.org/W2903329078","https://openalex.org/W2948315098","https://openalex.org/W2971350920","https://openalex.org/W3021318926","https://openalex.org/W3121211099","https://openalex.org/W3124148553","https://openalex.org/W4211027407","https://openalex.org/W4231147659","https://openalex.org/W4234139657","https://openalex.org/W4240823076","https://openalex.org/W4242766606","https://openalex.org/W4249667877","https://openalex.org/W4253493393","https://openalex.org/W4285719527","https://openalex.org/W4291439952","https://openalex.org/W4299512035"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W4285308861","https://openalex.org/W2126858039","https://openalex.org/W2095507327","https://openalex.org/W2705221988","https://openalex.org/W2031026647","https://openalex.org/W2893622182"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":24},{"year":2021,"cited_by_count":21},{"year":2020,"cited_by_count":28},{"year":2019,"cited_by_count":19},{"year":2018,"cited_by_count":18},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":15},{"year":2015,"cited_by_count":19},{"year":2014,"cited_by_count":26},{"year":2013,"cited_by_count":17},{"year":2012,"cited_by_count":25}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}