{"id":"https://openalex.org/W2508878802","doi":"https://doi.org/10.1007/s11590-016-1070-0","title":"A linear-time algorithm for the trust region subproblem based on hidden convexity","display_name":"A linear-time algorithm for the trust region subproblem based on hidden convexity","publication_year":2016,"publication_date":"2016-08-20","ids":{"openalex":"https://openalex.org/W2508878802","doi":"https://doi.org/10.1007/s11590-016-1070-0","mag":"2508878802"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-016-1070-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-016-1070-0","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","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/A5079656901","display_name":"Jiulin Wang","orcid":"https://orcid.org/0000-0001-8165-0096"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]},{"id":"https://openalex.org/I4391767781","display_name":"State Key Laboratory of Software Development Environment","ror":"https://ror.org/017r4dj03","country_code":null,"type":"facility","lineage":["https://openalex.org/I4391767781","https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiulin Wang","raw_affiliation_strings":["State Key Laboratory of Software Development Environment, LMIB of the Ministry of Education School of Mathematics and System Sciences, Beihang University, 100191, Beijing, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Software Development Environment, LMIB of the Ministry of Education School of Mathematics and System Sciences, Beihang University, 100191, Beijing, People\u2019s Republic of China","institution_ids":["https://openalex.org/I82880672","https://openalex.org/I4391767781"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018163414","display_name":"Yong Xia","orcid":"https://orcid.org/0000-0001-6610-9680"},"institutions":[{"id":"https://openalex.org/I4391767781","display_name":"State Key Laboratory of Software Development Environment","ror":"https://ror.org/017r4dj03","country_code":null,"type":"facility","lineage":["https://openalex.org/I4391767781","https://openalex.org/I82880672"]},{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Xia","raw_affiliation_strings":["State Key Laboratory of Software Development Environment, LMIB of the Ministry of Education School of Mathematics and System Sciences, Beihang University, 100191, Beijing, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Software Development Environment, LMIB of the Ministry of Education School of Mathematics and System Sciences, Beihang University, 100191, Beijing, People\u2019s Republic of China","institution_ids":["https://openalex.org/I82880672","https://openalex.org/I4391767781"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079656901"],"corresponding_institution_ids":["https://openalex.org/I4391767781","https://openalex.org/I82880672"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":4.6638,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.94703246,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"11","issue":"8","first_page":"1639","last_page":"1646"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9987000226974487,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9987000226974487,"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"}},{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9973999857902527,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/trust-region","display_name":"Trust region","score":0.8250601291656494},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.7178393602371216},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.6133251786231995},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5661939978599548},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.51682049036026},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5141447186470032},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4831075668334961},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.47344088554382324},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4412749111652374},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4395168721675873},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.43892282247543335},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.4345611333847046},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19320148229599},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.05887266993522644}],"concepts":[{"id":"https://openalex.org/C89109886","wikidata":"https://www.wikidata.org/wiki/Q1535924","display_name":"Trust region","level":3,"score":0.8250601291656494},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.7178393602371216},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6133251786231995},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5661939978599548},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.51682049036026},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5141447186470032},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4831075668334961},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.47344088554382324},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4412749111652374},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4395168721675873},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.43892282247543335},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.4345611333847046},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19320148229599},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.05887266993522644},{"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/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"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/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-016-1070-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-016-1070-0","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4943634631","display_name":null,"funder_award_id":"11571029","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8765131569","display_name":null,"funder_award_id":"11471325","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W147998453","https://openalex.org/W1483062147","https://openalex.org/W1966032224","https://openalex.org/W2017362419","https://openalex.org/W2040466831","https://openalex.org/W2063690908","https://openalex.org/W2067314231","https://openalex.org/W2075184363","https://openalex.org/W2080108722","https://openalex.org/W2089986028","https://openalex.org/W2093790790","https://openalex.org/W2798909945","https://openalex.org/W2969945254","https://openalex.org/W3105062566"],"related_works":["https://openalex.org/W2080108722","https://openalex.org/W2752681920","https://openalex.org/W1997473290","https://openalex.org/W1964872188","https://openalex.org/W2353911672","https://openalex.org/W2393042414","https://openalex.org/W2187391117","https://openalex.org/W1981809986","https://openalex.org/W4392004607","https://openalex.org/W2255634651"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
