{"id":"https://openalex.org/W4400575890","doi":"https://doi.org/10.4310/cms.2024.v22.n4.a5","title":"Scalar auxiliary variable approach in iterative minimization formulation for saddle point search","display_name":"Scalar auxiliary variable approach in iterative minimization formulation for saddle point search","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4400575890","doi":"https://doi.org/10.4310/cms.2024.v22.n4.a5"},"language":"en","primary_location":{"id":"doi:10.4310/cms.2024.v22.n4.a5","doi":"https://doi.org/10.4310/cms.2024.v22.n4.a5","is_oa":false,"landing_page_url":"http://dx.doi.org/10.4310/cms.2024.v22.n4.a5","pdf_url":null,"source":{"id":"https://openalex.org/S128136061","display_name":"Communications in Mathematical Sciences","issn_l":"1539-6746","issn":["1539-6746","1945-0796"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-100","russia-white-list-3"],"host_organization":"https://openalex.org/P4327904645","host_organization_name":"International Press of Boston","host_organization_lineage":["https://openalex.org/P4327904645"],"host_organization_lineage_names":["International Press of Boston"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Mathematical Sciences","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5007652720","display_name":"Shuting Gu","orcid":"https://orcid.org/0000-0002-4214-5545","observed_orcids":["https://orcid.org/0000-0002-4214-5545"]},"institutions":[{"id":"https://openalex.org/I4210152380","display_name":"Shenzhen Technology University","ror":"https://ror.org/04qzpec27","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210152380"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuting Gu","raw_affiliation_strings":["Shenzhen Technology University, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shenzhen Technology University, Shenzhen, China","institution_ids":["https://openalex.org/I4210152380"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100334377","display_name":"Chenxi Wang","orcid":"https://orcid.org/0000-0003-0576-1055","observed_orcids":["https://orcid.org/0000-0003-0576-1055","https://orcid.org/0009-0003-4214-5718","https://orcid.org/0009-0008-5862-4525"]},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chenxi Wang","raw_affiliation_strings":["Southern University of Science and Technology (SUSTech), Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Southern University of Science and Technology (SUSTech), Shenzhen, China","institution_ids":["https://openalex.org/I3045169105"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100390213","display_name":"Zhen Zhang","orcid":"https://orcid.org/0000-0003-4698-8125","observed_orcids":["https://orcid.org/0000-0003-4698-8125"]},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhen Zhang","raw_affiliation_strings":["Southern University of Science and Technology (SUSTech), Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Southern University of Science and Technology (SUSTech), Shenzhen, China","institution_ids":["https://openalex.org/I3045169105"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2607,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.39099357,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"22","issue":"4","first_page":"977","last_page":"997"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.5551999807357788,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.5551999807357788,"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"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.155799999833107,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.15440000593662262,"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/saddle-point-search","display_name":"saddle point search","score":0.7509999871253967},{"id":"https://openalex.org/keywords/scalar-auxiliary-variable-method","display_name":"scalar auxiliary variable method","score":0.7760000228881836},{"id":"https://openalex.org/keywords/iterative-minimization","display_name":"iterative minimization","score":0.9279999732971191},{"id":"https://openalex.org/keywords/saddle-point-problems","display_name":"saddle point problems","score":0.5210000276565552},{"id":"https://openalex.org/keywords/optimization-algorithms","display_name":"optimization algorithms","score":0.3050000071525574}],"concepts":[{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.8273442387580872},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6081271171569824},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5921100378036499},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.592096209526062},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5579699873924255},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5224142074584961},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.5202882885932922},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.45021799206733704},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4452904164791107},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3549639582633972},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22158583998680115}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.4310/cms.2024.v22.n4.a5","doi":"https://doi.org/10.4310/cms.2024.v22.n4.a5","is_oa":false,"landing_page_url":"http://dx.doi.org/10.4310/cms.2024.v22.n4.a5","pdf_url":null,"source":{"id":"https://openalex.org/S128136061","display_name":"Communications in Mathematical Sciences","issn_l":"1539-6746","issn":["1539-6746","1945-0796"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-100","russia-white-list-3"],"host_organization":"https://openalex.org/P4327904645","host_organization_name":"International Press of Boston","host_organization_lineage":["https://openalex.org/P4327904645"],"host_organization_lineage_names":["International Press of Boston"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Mathematical Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2597144751","https://openalex.org/W1497401739","https://openalex.org/W12772122","https://openalex.org/W7098314099","https://openalex.org/W6907659236","https://openalex.org/W6922412243","https://openalex.org/W2088102837","https://openalex.org/W1519983590","https://openalex.org/W2582703167","https://openalex.org/W2048524959"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2024-07-13T00:00:00"}
