{"id":"https://openalex.org/W2159307101","doi":"https://doi.org/10.1007/bf02591962","title":"A numerically stable dual method for solving strictly convex quadratic programs","display_name":"A numerically stable dual method for solving strictly convex quadratic programs","publication_year":1983,"publication_date":"1983-09-01","ids":{"openalex":"https://openalex.org/W2159307101","doi":"https://doi.org/10.1007/bf02591962","mag":"2159307101"},"language":"en","primary_location":{"id":"doi:10.1007/bf02591962","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02591962","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/A5027297328","display_name":"Donald Goldfarb","orcid":null},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. Goldfarb","raw_affiliation_strings":["Department of Industrial Engineering and Operations Research, Columbia University, 10027, New York, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Operations Research, Columbia University, 10027, New York, USA","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028538301","display_name":"A. Idnani","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Idnani","raw_affiliation_strings":["Bell Laboratoires, 07974, Murray Hill, N.J., USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bell Laboratoires, 07974, Murray Hill, N.J., USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":8.3091,"has_fulltext":false,"cited_by_count":1056,"citation_normalized_percentile":{"value":0.98648649,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"27","issue":"1","first_page":"1","last_page":"33"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9976000189781189,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9912999868392944,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.7222592234611511},{"id":"https://openalex.org/keywords/cholesky-decomposition","display_name":"Cholesky decomposition","score":0.6346461772918701},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6035672426223755},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5763826966285706},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.5412759780883789},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4875194728374481},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4798514246940613},{"id":"https://openalex.org/keywords/simplex-algorithm","display_name":"Simplex algorithm","score":0.469537615776062},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4615035653114319},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.4331071674823761},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.4264611005783081},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.41072651743888855},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.31523242592811584},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.23128020763397217}],"concepts":[{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.7222592234611511},{"id":"https://openalex.org/C34727166","wikidata":"https://www.wikidata.org/wiki/Q515375","display_name":"Cholesky decomposition","level":3,"score":0.6346461772918701},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6035672426223755},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5763826966285706},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.5412759780883789},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4875194728374481},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4798514246940613},{"id":"https://openalex.org/C144521790","wikidata":"https://www.wikidata.org/wiki/Q134164","display_name":"Simplex algorithm","level":3,"score":0.469537615776062},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4615035653114319},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.4331071674823761},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.4264611005783081},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.41072651743888855},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.31523242592811584},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.23128020763397217},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf02591962","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02591962","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:CiteSeerX.psu:10.1.1.521.6352","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.521.6352","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.javaquant.net/papers/GoldfarbIdnani.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W35651078","https://openalex.org/W50944293","https://openalex.org/W182472797","https://openalex.org/W200297414","https://openalex.org/W611766563","https://openalex.org/W1649498438","https://openalex.org/W1921345139","https://openalex.org/W1966844921","https://openalex.org/W1977720792","https://openalex.org/W1993421380","https://openalex.org/W1998558841","https://openalex.org/W2004936497","https://openalex.org/W2014495923","https://openalex.org/W2024585637","https://openalex.org/W2027314076","https://openalex.org/W2035814233","https://openalex.org/W2036820163","https://openalex.org/W2037909160","https://openalex.org/W2041804813","https://openalex.org/W2049421260","https://openalex.org/W2057875970","https://openalex.org/W2062866389","https://openalex.org/W2065508260","https://openalex.org/W2075665712","https://openalex.org/W2080562175","https://openalex.org/W2083289733","https://openalex.org/W2095222360","https://openalex.org/W2119957060","https://openalex.org/W2127470768","https://openalex.org/W2127982942","https://openalex.org/W2143101939","https://openalex.org/W2317988884","https://openalex.org/W2476502391","https://openalex.org/W2502170570","https://openalex.org/W2989457786","https://openalex.org/W3215365563","https://openalex.org/W4205295188","https://openalex.org/W4236898819","https://openalex.org/W4247216616","https://openalex.org/W4254249855","https://openalex.org/W4254522940","https://openalex.org/W4301216918","https://openalex.org/W6803916912","https://openalex.org/W6987259919"],"related_works":["https://openalex.org/W2075453197","https://openalex.org/W4315697090","https://openalex.org/W2002877864","https://openalex.org/W2394244817","https://openalex.org/W2094435468","https://openalex.org/W2924783966","https://openalex.org/W2057318281","https://openalex.org/W2770986973","https://openalex.org/W2093365458","https://openalex.org/W2384106618"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":17},{"year":2025,"cited_by_count":35},{"year":2024,"cited_by_count":42},{"year":2023,"cited_by_count":34},{"year":2022,"cited_by_count":52},{"year":2021,"cited_by_count":56},{"year":2020,"cited_by_count":45},{"year":2019,"cited_by_count":38},{"year":2018,"cited_by_count":28},{"year":2017,"cited_by_count":32},{"year":2016,"cited_by_count":30},{"year":2015,"cited_by_count":48},{"year":2014,"cited_by_count":43},{"year":2013,"cited_by_count":34},{"year":2012,"cited_by_count":48}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}