{"id":"https://openalex.org/W4390540407","doi":"https://doi.org/10.1137/22m1529762","title":"Time-Varying Semidefinite Programming: Path Following a Burer\u2013Monteiro Factorization","display_name":"Time-Varying Semidefinite Programming: Path Following a Burer\u2013Monteiro Factorization","publication_year":2024,"publication_date":"2024-01-03","ids":{"openalex":"https://openalex.org/W4390540407","doi":"https://doi.org/10.1137/22m1529762"},"language":"en","primary_location":{"id":"doi:10.1137/22m1529762","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1529762","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/A5000323966","display_name":"Antonio Bellon","orcid":"https://orcid.org/0000-0002-7792-4186"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Antonio Bellon","raw_affiliation_strings":["Faculty of Electrical Engineering, Czech Technical University in Prague, Karlovo, Namesti 13, Prague, 121 35, the Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering, Czech Technical University in Prague, Karlovo, Namesti 13, Prague, 121 35, the Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078197291","display_name":"Mareike Dressler","orcid":"https://orcid.org/0000-0002-5684-4101"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Mareike Dressler","raw_affiliation_strings":["School of Mathematics and Statistics, University of New South Wales, Sydney, NSW, 2052, Australia"],"raw_orcid":"https://orcid.org/0000-0002-5684-4101","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, University of New South Wales, Sydney, NSW, 2052, Australia","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066151990","display_name":"Vyacheslav Kungurtsev","orcid":"https://orcid.org/0000-0003-2229-8824"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Vyacheslav Kungurtsev","raw_affiliation_strings":["Faculty of Electrical Engineering, Czech Technical University in Prague, Karlovo, Namesti 13, Prague, 121 35, the Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering, Czech Technical University in Prague, Karlovo, Namesti 13, Prague, 121 35, the Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003656133","display_name":"Jakub Mare\u010dek","orcid":"https://orcid.org/0000-0003-0839-0691"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Jakub Mare\u010dek","raw_affiliation_strings":["Faculty of Electrical Engineering, Czech Technical University in Prague, Karlovo, Namesti 13, Prague, 121 35, the Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering, Czech Technical University in Prague, Karlovo, Namesti 13, Prague, 121 35, the Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113872426","display_name":"Andr\u00e9 Uschmajew","orcid":null},"institutions":[{"id":"https://openalex.org/I179225836","display_name":"University of Augsburg","ror":"https://ror.org/03p14d497","country_code":"DE","type":"education","lineage":["https://openalex.org/I179225836"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Andr\u00e9 Uschmajew","raw_affiliation_strings":["Institute of Mathematics & Centre for Advanced Analytics and Predictive Sciences, University of Augsburg, 86159, Augsburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics & Centre for Advanced Analytics and Predictive Sciences, University of Augsburg, 86159, Augsburg, Germany","institution_ids":["https://openalex.org/I179225836"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2175,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.71009491,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"34","issue":"1","first_page":"1","last_page":"26"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"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":0.9997000098228455,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994999766349792,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9810000061988831,"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/mathematics","display_name":"Mathematics","score":0.7569094896316528},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.6723314523696899},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6061098575592041},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5989805459976196},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.5937302708625793},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5769261121749878},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.5362393856048584},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.535129964351654},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48603707551956177},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4107913672924042},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3500092625617981},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22389882802963257},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16166076064109802}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7569094896316528},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.6723314523696899},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6061098575592041},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5989805459976196},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.5937302708625793},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5769261121749878},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.5362393856048584},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.535129964351654},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48603707551956177},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4107913672924042},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3500092625617981},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22389882802963257},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16166076064109802},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/22m1529762","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1529762","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:HAL:hal-04925414v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04925414","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Optimization, 2024, 34 (1), pp.1-26. ⟨10.1137/22M1529762⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:uni-augsburg.opus-bayern.de:103371","is_oa":false,"landing_page_url":"https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/103371","pdf_url":null,"source":{"id":"https://openalex.org/S4306400930","display_name":"OPUS (Augsburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119916105","host_organization_name":"Augsburg University","host_organization_lineage":["https://openalex.org/I119916105"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8767706072","display_name":null,"funder_award_id":"22-15524S","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"}],"funders":[{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W201536070","https://openalex.org/W1607862333","https://openalex.org/W1964613088","https://openalex.org/W1977257062","https://openalex.org/W1980450998","https://openalex.org/W1980610004","https://openalex.org/W1984149403","https://openalex.org/W1985123706","https://openalex.org/W2005102197","https://openalex.org/W2018637736","https://openalex.org/W2034235667","https://openalex.org/W2037328914","https://openalex.org/W2043647100","https://openalex.org/W2049371785","https://openalex.org/W2055008743","https://openalex.org/W2056197832","https://openalex.org/W2059113336","https://openalex.org/W2071011182","https://openalex.org/W2080201523","https://openalex.org/W2114416272","https://openalex.org/W2117198760","https://openalex.org/W2129258807","https://openalex.org/W2138505091","https://openalex.org/W2141380252","https://openalex.org/W2143075842","https://openalex.org/W2288174618","https://openalex.org/W2495457432","https://openalex.org/W2559655401","https://openalex.org/W2788451989","https://openalex.org/W2795405496","https://openalex.org/W2901838001","https://openalex.org/W2904850325","https://openalex.org/W2970702517","https://openalex.org/W3015255373","https://openalex.org/W3032293597","https://openalex.org/W3098536263","https://openalex.org/W3106518847","https://openalex.org/W3127944417","https://openalex.org/W3128885578","https://openalex.org/W3158310418","https://openalex.org/W3190420332","https://openalex.org/W3199604012","https://openalex.org/W4205293427","https://openalex.org/W4212774754","https://openalex.org/W4248437491","https://openalex.org/W4295712130","https://openalex.org/W4301014524"],"related_works":["https://openalex.org/W2036562274","https://openalex.org/W2121045497","https://openalex.org/W2269291726","https://openalex.org/W2239063252","https://openalex.org/W2128202699","https://openalex.org/W2531901171","https://openalex.org/W1985090152","https://openalex.org/W1989395545","https://openalex.org/W2386411162","https://openalex.org/W1997197201"],"abstract_inverted_index":{"International":[0],"audience":[1]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}