{"id":"https://openalex.org/W1989033306","doi":"https://doi.org/10.1007/bf01588787","title":"A trust region algorithm for equality constrained optimization","display_name":"A trust region algorithm for equality constrained optimization","publication_year":1990,"publication_date":"1990-11-01","ids":{"openalex":"https://openalex.org/W1989033306","doi":"https://doi.org/10.1007/bf01588787","mag":"1989033306"},"language":"en","primary_location":{"id":"doi:10.1007/bf01588787","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01588787","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/A5108942511","display_name":"M. J. D. Powell","orcid":null},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"M. J. D. Powell","raw_affiliation_strings":["Department of Applied Mathematics and Theoretical Physics, University of Cambridge, CB3 9EW, Cambridge, England","Department of Applied Mathematics and Theoretical Physics University of Cambridge Cambridge. England CB3 9EW"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Theoretical Physics, University of Cambridge, CB3 9EW, Cambridge, England","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"Department of Applied Mathematics and Theoretical Physics University of Cambridge Cambridge. England CB3 9EW","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109204362","display_name":"Y. Yuan","orcid":null},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Y. Yuan","raw_affiliation_strings":["Department of Applied Mathematics and Theoretical Physics, University of Cambridge, CB3 9EW, Cambridge, England","Department of Applied Mathematics and Theoretical Physics University of Cambridge Cambridge. England CB3 9EW"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Theoretical Physics, University of Cambridge, CB3 9EW, Cambridge, England","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"Department of Applied Mathematics and Theoretical Physics University of Cambridge Cambridge. England CB3 9EW","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5108942511"],"corresponding_institution_ids":["https://openalex.org/I241749"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":6.0013,"has_fulltext":false,"cited_by_count":212,"citation_normalized_percentile":{"value":0.96751864,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"49","issue":"1-3","first_page":"189","last_page":"211"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994000196456909,"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":0.9994000196456909,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9868999719619751,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10851","display_name":"Optical Wireless Communication Technologies","score":0.9828000068664551,"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/trust-region","display_name":"Trust region","score":0.8874801993370056},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7389878034591675},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7155752182006836},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.7048486471176147},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.6361319422721863},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.521524965763092},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5194575190544128},{"id":"https://openalex.org/keywords/constrained-optimization","display_name":"Constrained optimization","score":0.4579450488090515},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43009454011917114},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1924767792224884},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07568913698196411}],"concepts":[{"id":"https://openalex.org/C89109886","wikidata":"https://www.wikidata.org/wiki/Q1535924","display_name":"Trust region","level":3,"score":0.8874801993370056},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7389878034591675},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7155752182006836},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.7048486471176147},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.6361319422721863},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.521524965763092},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5194575190544128},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.4579450488090515},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43009454011917114},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1924767792224884},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07568913698196411},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01588787","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01588787","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W344808587","https://openalex.org/W1485207068","https://openalex.org/W1516152711","https://openalex.org/W1586015540","https://openalex.org/W1669104078","https://openalex.org/W1893275031","https://openalex.org/W1989033306","https://openalex.org/W1994707765","https://openalex.org/W2005411772","https://openalex.org/W2013434059","https://openalex.org/W2022313155","https://openalex.org/W2033758151","https://openalex.org/W2038904236","https://openalex.org/W2077658674","https://openalex.org/W2080419468","https://openalex.org/W2092679899","https://openalex.org/W2108814972","https://openalex.org/W2774779611","https://openalex.org/W3003775594","https://openalex.org/W3012317737","https://openalex.org/W4212997115","https://openalex.org/W4230131919","https://openalex.org/W4301014524","https://openalex.org/W7028039280"],"related_works":["https://openalex.org/W2004641621","https://openalex.org/W2730284527","https://openalex.org/W2110134798","https://openalex.org/W298733438","https://openalex.org/W2163224448","https://openalex.org/W2029682968","https://openalex.org/W2912146214","https://openalex.org/W2152334450","https://openalex.org/W1970914972","https://openalex.org/W2363901946"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":14},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-04T08:04:53.788161","created_date":"2025-10-10T00:00:00"}