{"id":"https://openalex.org/W1997472741","doi":"https://doi.org/10.1137/s105262349427861x","title":"Practical Update Criteria for Reduced Hessian SQP: Global Analysis","display_name":"Practical Update Criteria for Reduced Hessian SQP: Global Analysis","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W1997472741","doi":"https://doi.org/10.1137/s105262349427861x","mag":"1997472741"},"language":"en","primary_location":{"id":"doi:10.1137/s105262349427861x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s105262349427861x","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/A5102007385","display_name":"Yuchen Xie","orcid":"https://orcid.org/0000-0003-4672-5616"},"institutions":[{"id":"https://openalex.org/I1308126019","display_name":"National Oceanic and Atmospheric Administration","ror":"https://ror.org/02z5nhe81","country_code":"US","type":"funder","lineage":["https://openalex.org/I1308126019","https://openalex.org/I1343035065"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Y. F. Xie","raw_affiliation_strings":["National Oceanic & Atmospheric Administration"],"affiliations":[{"raw_affiliation_string":"National Oceanic & Atmospheric Administration","institution_ids":["https://openalex.org/I1308126019"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110661221","display_name":"Richard H. Byrd","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R. H. Byrd","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102007385"],"corresponding_institution_ids":["https://openalex.org/I1308126019"],"apc_list":null,"apc_paid":null,"fwci":0.4963,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.63776337,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":"3","first_page":"578","last_page":"604"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9958999752998352,"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":0.9958999752998352,"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/T11873","display_name":"PAPR reduction in OFDM","score":0.9832000136375427,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9779000282287598,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/hessian-matrix","display_name":"Hessian matrix","score":0.9541234374046326},{"id":"https://openalex.org/keywords/sequential-quadratic-programming","display_name":"Sequential quadratic programming","score":0.9114288687705994},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7464022636413574},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6532385945320129},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6213188171386719},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.5348367094993591},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5046199560165405},{"id":"https://openalex.org/keywords/hessian-equation","display_name":"Hessian equation","score":0.46718624234199524},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38156944513320923},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.052012115716934204}],"concepts":[{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.9541234374046326},{"id":"https://openalex.org/C198927703","wikidata":"https://www.wikidata.org/wiki/Q4373881","display_name":"Sequential quadratic programming","level":3,"score":0.9114288687705994},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7464022636413574},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6532385945320129},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6213188171386719},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.5348367094993591},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5046199560165405},{"id":"https://openalex.org/C73729460","wikidata":"https://www.wikidata.org/wiki/Q17023339","display_name":"Hessian equation","level":4,"score":0.46718624234199524},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38156944513320923},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.052012115716934204},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C64057670","wikidata":"https://www.wikidata.org/wiki/Q4381442","display_name":"First-order partial differential equation","level":3,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s105262349427861x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s105262349427861x","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W105295170","https://openalex.org/W288255560","https://openalex.org/W1516152711","https://openalex.org/W1748199557","https://openalex.org/W1987336415","https://openalex.org/W1993553082","https://openalex.org/W2050218775","https://openalex.org/W2057875970","https://openalex.org/W2074899569","https://openalex.org/W2082314805","https://openalex.org/W2153532571","https://openalex.org/W3141890267","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2336762304","https://openalex.org/W1991833659","https://openalex.org/W2039312875","https://openalex.org/W2316166864","https://openalex.org/W2964019050","https://openalex.org/W2989823969","https://openalex.org/W4301455726","https://openalex.org/W2964031153","https://openalex.org/W1644301919","https://openalex.org/W2377108493"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3],"new":[4,30],"update":[5,13],"criterion":[6,14,31,35],"is":[7,26],"proposed":[8],"to":[9],"improve":[10],"the":[11,29,33,45],"Nocedal--Overton":[12,34],"for":[15,28,49],"reduced":[16,46],"Hessian":[17,47],"successive":[18],"quadratic":[19],"programming":[20],"(SQP).":[21],"Global":[22],"and":[23,32],"R-linear":[24],"convergence":[25],"proved":[27],"using":[36],"nonorthogonal":[37],"basis":[38],"matrices,":[39],"which":[40],"allow":[41],"efficient":[42],"implementations":[43],"of":[44],"SQP":[48],"solving":[50],"large-scale":[51],"equality":[52],"constrained":[53],"problems.":[54]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
