{"id":"https://openalex.org/W2098918699","doi":"https://doi.org/10.1137/s105262349426722x","title":"A Practical Algorithm for General Large Scale Nonlinear Optimization Problems","display_name":"A Practical Algorithm for General Large Scale Nonlinear Optimization Problems","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2098918699","doi":"https://doi.org/10.1137/s105262349426722x","mag":"2098918699"},"language":"en","primary_location":{"id":"doi:10.1137/s105262349426722x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s105262349426722x","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/A5055227859","display_name":"Paul T. Boggs","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Paul T. Boggs","raw_affiliation_strings":["Sandia National Lab"],"affiliations":[{"raw_affiliation_string":"Sandia National Lab","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011525108","display_name":"Anthony J. Kearsley","orcid":"https://orcid.org/0000-0002-9576-0621"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anthony J. Kearsley","raw_affiliation_strings":["Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213-3890"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213-3890","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054755159","display_name":"Jon W. Tolle","orcid":null},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jon W. Tolle","raw_affiliation_strings":["Mathematics Department, University of North Carolina, Chapel Hill, NC 27599"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of North Carolina, Chapel Hill, NC 27599","institution_ids":["https://openalex.org/I114027177"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5055227859"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.2733,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.97000441,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"9","issue":"3","first_page":"755","last_page":"778"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9987000226974487,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/sequential-quadratic-programming","display_name":"Sequential quadratic programming","score":0.8925003409385681},{"id":"https://openalex.org/keywords/trust-region","display_name":"Trust region","score":0.8576085567474365},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.7113690376281738},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6984505653381348},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6407607793807983},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.6353015303611755},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.5870195627212524},{"id":"https://openalex.org/keywords/criss-cross-algorithm","display_name":"Criss-cross algorithm","score":0.5369067192077637},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5187809467315674},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.48430076241493225},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4739111661911011},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4585137367248535},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4450480341911316},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4287128448486328},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4217562675476074},{"id":"https://openalex.org/keywords/linear-fractional-programming","display_name":"Linear-fractional programming","score":0.3712334632873535},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.3606570363044739},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29698410630226135},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.20633798837661743}],"concepts":[{"id":"https://openalex.org/C198927703","wikidata":"https://www.wikidata.org/wiki/Q4373881","display_name":"Sequential quadratic programming","level":3,"score":0.8925003409385681},{"id":"https://openalex.org/C89109886","wikidata":"https://www.wikidata.org/wiki/Q1535924","display_name":"Trust region","level":3,"score":0.8576085567474365},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.7113690376281738},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6984505653381348},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6407607793807983},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.6353015303611755},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.5870195627212524},{"id":"https://openalex.org/C52486349","wikidata":"https://www.wikidata.org/wiki/Q17006040","display_name":"Criss-cross algorithm","level":4,"score":0.5369067192077637},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5187809467315674},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.48430076241493225},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4739111661911011},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4585137367248535},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4450480341911316},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4287128448486328},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4217562675476074},{"id":"https://openalex.org/C205658194","wikidata":"https://www.wikidata.org/wiki/Q4168281","display_name":"Linear-fractional programming","level":3,"score":0.3712334632873535},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.3606570363044739},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29698410630226135},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.20633798837661743},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s105262349426722x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s105262349426722x","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.40.3063","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.40.3063","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://csmr.ca.sandia.gov/~ptboggs/pubs/practical.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.56.968","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.56.968","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://gams.nist.gov/pub/boggs/large.ps.Z","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W78931774","https://openalex.org/W132080054","https://openalex.org/W138910074","https://openalex.org/W161404398","https://openalex.org/W1502501036","https://openalex.org/W1513924455","https://openalex.org/W1748199557","https://openalex.org/W1955370821","https://openalex.org/W1963664801","https://openalex.org/W1968553199","https://openalex.org/W1978368079","https://openalex.org/W1983768315","https://openalex.org/W1984888568","https://openalex.org/W2013261078","https://openalex.org/W2022977680","https://openalex.org/W2024541916","https://openalex.org/W2027929240","https://openalex.org/W2038785998","https://openalex.org/W2040016978","https://openalex.org/W2065089513","https://openalex.org/W2068095856","https://openalex.org/W2068484625","https://openalex.org/W2075184363","https://openalex.org/W2079440004","https://openalex.org/W2091644521","https://openalex.org/W2094143568","https://openalex.org/W2107501462","https://openalex.org/W2149416133","https://openalex.org/W2163392119","https://openalex.org/W2461327536","https://openalex.org/W2790401551","https://openalex.org/W2790886093","https://openalex.org/W2985272081","https://openalex.org/W3029817367"],"related_works":["https://openalex.org/W574348691","https://openalex.org/W2107502531","https://openalex.org/W2587737421","https://openalex.org/W1709621369","https://openalex.org/W61976518","https://openalex.org/W2114808974","https://openalex.org/W2098918699","https://openalex.org/W2030563458","https://openalex.org/W2006985686","https://openalex.org/W2318926272"],"abstract_inverted_index":{"We":[0],"provide":[1],"an":[2,32],"effective":[3],"and":[4,67,77],"efficient":[5],"implementation":[6],"of":[7],"a":[8,42,58],"sequential":[9],"quadratic":[10,26],"programming":[11,20,27],"(SQP)":[12],"algorithm":[13,24],"for":[14,61,69],"the":[15,25,51,63,71],"general":[16],"large":[17],"scale":[18],"nonlinear":[19],"problem.":[21],"In":[22],"this":[23],"subproblems":[28],"are":[29,54,79],"solved":[30],"by":[31,41],"interior":[33],"point":[34],"method":[35],"that":[36],"can":[37],"be":[38],"prematurely":[39],"halted":[40],"trust":[43,72],"region":[44,73],"constraint.":[45],"Numerous":[46],"computational":[47],"enhancements":[48],"to":[49],"improve":[50],"numerical":[52],"performance":[53],"presented.":[55,80],"These":[56],"include":[57],"dynamic":[59],"procedure":[60],"adjusting":[62,70],"merit":[64],"function":[65],"parameter":[66],"procedures":[68],"radius.":[74],"Numerical":[75],"results":[76],"comparisons":[78]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
