{"id":"https://openalex.org/W4389429399","doi":"https://doi.org/10.1007/s10589-023-00541-9","title":"A Bregman\u2013Kaczmarz method for nonlinear systems of equations","display_name":"A Bregman\u2013Kaczmarz method for nonlinear systems of equations","publication_year":2023,"publication_date":"2023-12-07","ids":{"openalex":"https://openalex.org/W4389429399","doi":"https://doi.org/10.1007/s10589-023-00541-9"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-023-00541-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-023-00541-9","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","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/A5008334471","display_name":"Robert M. Gower","orcid":"https://orcid.org/0000-0002-2268-9780"},"institutions":[{"id":"https://openalex.org/I4210107338","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210107338"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert Gower","raw_affiliation_strings":["CCM, Flatiron Institute, Simons Foundation, New York, USA"],"raw_orcid":"https://orcid.org/0000-0002-2268-9780","affiliations":[{"raw_affiliation_string":"CCM, Flatiron Institute, Simons Foundation, New York, USA","institution_ids":["https://openalex.org/I4210107338"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069699303","display_name":"Dirk A. Lorenz","orcid":"https://orcid.org/0000-0002-7419-769X"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]},{"id":"https://openalex.org/I94509681","display_name":"Technische Universit\u00e4t Braunschweig","ror":"https://ror.org/010nsgg66","country_code":"DE","type":"education","lineage":["https://openalex.org/I94509681"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dirk A. Lorenz","raw_affiliation_strings":["Center for Industrial Mathematics, Fachbereich 3, University of Bremen, Bremen, Germany","Institute of Analysis and Algebra, TU Braunschweig, Braunschweig, Germany"],"raw_orcid":"https://orcid.org/0000-0002-7419-769X","affiliations":[{"raw_affiliation_string":"Center for Industrial Mathematics, Fachbereich 3, University of Bremen, Bremen, Germany","institution_ids":["https://openalex.org/I180437899"]},{"raw_affiliation_string":"Institute of Analysis and Algebra, TU Braunschweig, Braunschweig, Germany","institution_ids":["https://openalex.org/I94509681"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021945652","display_name":"Maximilian Winkler","orcid":"https://orcid.org/0000-0002-8501-5556"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]},{"id":"https://openalex.org/I94509681","display_name":"Technische Universit\u00e4t Braunschweig","ror":"https://ror.org/010nsgg66","country_code":"DE","type":"education","lineage":["https://openalex.org/I94509681"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Maximilian Winkler","raw_affiliation_strings":["Center for Industrial Mathematics, Fachbereich 3, University of Bremen, Bremen, Germany","Institute of Analysis and Algebra, TU Braunschweig, Braunschweig, Germany"],"raw_orcid":"https://orcid.org/0000-0002-8501-5556","affiliations":[{"raw_affiliation_string":"Center for Industrial Mathematics, Fachbereich 3, University of Bremen, Bremen, Germany","institution_ids":["https://openalex.org/I180437899"]},{"raw_affiliation_string":"Institute of Analysis and Algebra, TU Braunschweig, Braunschweig, Germany","institution_ids":["https://openalex.org/I94509681"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5021945652"],"corresponding_institution_ids":["https://openalex.org/I180437899","https://openalex.org/I94509681"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.4361,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.88716406,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"87","issue":"3","first_page":"1059","last_page":"1098"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9973000288009644,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9887999892234802,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bregman-divergence","display_name":"Bregman divergence","score":0.9022382497787476},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8374667167663574},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5178694725036621},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4909696877002716},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.487693190574646},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.48461565375328064},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.47589147090911865},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4606388509273529},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.4593856632709503},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4558717906475067},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.44719198346138},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.41345494985580444},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24752655625343323},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.16935449838638306},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1203153133392334},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08297118544578552},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07908380031585693}],"concepts":[{"id":"https://openalex.org/C149073432","wikidata":"https://www.wikidata.org/wiki/Q4960382","display_name":"Bregman divergence","level":2,"score":0.9022382497787476},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8374667167663574},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5178694725036621},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4909696877002716},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.487693190574646},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.48461565375328064},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.47589147090911865},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4606388509273529},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.4593856632709503},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4558717906475067},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.44719198346138},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.41345494985580444},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24752655625343323},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.16935449838638306},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1203153133392334},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08297118544578552},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07908380031585693},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10589-023-00541-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-023-00541-9","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:coopap:v:87:y:2024:i:3:d:10.1007_s10589-023-00541-9","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10589-023-00541-9","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W1505731132","https://openalex.org/W1935121520","https://openalex.org/W1978119584","https://openalex.org/W1978259121","https://openalex.org/W1984958640","https://openalex.org/W2009941369","https://openalex.org/W2011181254","https://openalex.org/W2012180727","https://openalex.org/W2018094386","https://openalex.org/W2022416612","https://openalex.org/W2033468335","https://openalex.org/W2036838083","https://openalex.org/W2036996178","https://openalex.org/W2038948856","https://openalex.org/W2048992473","https://openalex.org/W2057568664","https://openalex.org/W2062460234","https://openalex.org/W2080888649","https://openalex.org/W2089725613","https://openalex.org/W2092492084","https://openalex.org/W2148894924","https://openalex.org/W2149306165","https://openalex.org/W2152119413","https://openalex.org/W2163682125","https://openalex.org/W2163803752","https://openalex.org/W2304430533","https://openalex.org/W2528487761","https://openalex.org/W2531859882","https://openalex.org/W2566079294","https://openalex.org/W2763081248","https://openalex.org/W2790371392","https://openalex.org/W2945462184","https://openalex.org/W2964222150","https://openalex.org/W2977911200","https://openalex.org/W3005981462","https://openalex.org/W3035938142","https://openalex.org/W3091259097","https://openalex.org/W3099500464","https://openalex.org/W3100742030","https://openalex.org/W3105695370","https://openalex.org/W3180969843","https://openalex.org/W4206041533","https://openalex.org/W4229650096","https://openalex.org/W4236218737","https://openalex.org/W4249667877","https://openalex.org/W4287511843","https://openalex.org/W4289655290","https://openalex.org/W4300079171","https://openalex.org/W4312223206","https://openalex.org/W4323520942","https://openalex.org/W4366138915","https://openalex.org/W6600339457","https://openalex.org/W6607144799","https://openalex.org/W6632067885"],"related_works":["https://openalex.org/W4294294347","https://openalex.org/W2145396827","https://openalex.org/W2279239548","https://openalex.org/W115379796","https://openalex.org/W63976795","https://openalex.org/W2404658402","https://openalex.org/W2610298398","https://openalex.org/W4281992692","https://openalex.org/W2105228010","https://openalex.org/W164473625"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":5}],"updated_date":"2026-05-13T08:25:38.343686","created_date":"2025-10-10T00:00:00"}