{"id":"https://openalex.org/W2964333085","doi":"https://doi.org/10.1007/s10898-018-0719-x","title":"A fast algorithm for globally solving Tikhonov regularized total least squares problem","display_name":"A fast algorithm for globally solving Tikhonov regularized total least squares problem","publication_year":2018,"publication_date":"2018-11-10","ids":{"openalex":"https://openalex.org/W2964333085","doi":"https://doi.org/10.1007/s10898-018-0719-x","mag":"2964333085"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-018-0719-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-018-0719-x","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global 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/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":true,"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, Beijing, 100191, People\u2019s Republic of China","State Key Laboratory of Software Development Environment, LMIB of the Ministry of Education, School of Mathematics and System Sciences, Beihang University, Beijing, 100191, People's 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, Beijing, 100191, People\u2019s Republic of China","institution_ids":["https://openalex.org/I82880672","https://openalex.org/I4391767781"]},{"raw_affiliation_string":"State Key Laboratory of Software Development Environment, LMIB of the Ministry of Education, School of Mathematics and System Sciences, Beihang University, Beijing, 100191, People's Republic of China","institution_ids":["https://openalex.org/I82880672","https://openalex.org/I4391767781"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100447544","display_name":"Longfei Wang","orcid":"https://orcid.org/0000-0001-8281-7791"},"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":"Longfei 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, Beijing, 100191, People\u2019s Republic of China","State Key Laboratory of Software Development Environment, LMIB of the Ministry of Education, School of Mathematics and System Sciences, Beihang University, Beijing, 100191, People's 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, Beijing, 100191, People\u2019s Republic of China","institution_ids":["https://openalex.org/I82880672","https://openalex.org/I4391767781"]},{"raw_affiliation_string":"State Key Laboratory of Software Development Environment, LMIB of the Ministry of Education, School of Mathematics and System Sciences, Beihang University, Beijing, 100191, People's Republic of China","institution_ids":["https://openalex.org/I82880672","https://openalex.org/I4391767781"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066543309","display_name":"Meijia Yang","orcid":"https://orcid.org/0000-0002-4542-9631"},"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":"Meijia Yang","raw_affiliation_strings":["State Key Laboratory of Software Development Environment, LMIB of the Ministry of Education, School of Mathematics and System Sciences, Beihang University, Beijing, 100191, People\u2019s Republic of China","State Key Laboratory of Software Development Environment, LMIB of the Ministry of Education, School of Mathematics and System Sciences, Beihang University, Beijing, 100191, People's 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, Beijing, 100191, People\u2019s Republic of China","institution_ids":["https://openalex.org/I82880672","https://openalex.org/I4391767781"]},{"raw_affiliation_string":"State Key Laboratory of Software Development Environment, LMIB of the Ministry of Education, School of Mathematics and System Sciences, Beihang University, Beijing, 100191, People's Republic of China","institution_ids":["https://openalex.org/I82880672","https://openalex.org/I4391767781"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5018163414"],"corresponding_institution_ids":["https://openalex.org/I4391767781","https://openalex.org/I82880672"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":1.0387,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.76681737,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"73","issue":"2","first_page":"311","last_page":"330"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T13487","display_name":"Statistical and numerical algorithms","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.9958999752998352,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.819096565246582},{"id":"https://openalex.org/keywords/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.7617130279541016},{"id":"https://openalex.org/keywords/bisection-method","display_name":"Bisection method","score":0.6914200186729431},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.5636983513832092},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4962201714515686},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4872349798679352},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global optimization","score":0.4804684519767761},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4741237461566925},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4647921919822693},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4591303765773773},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.44948089122772217},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3495097756385803},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1565803587436676},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12468022108078003},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09169366955757141},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08545073866844177},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.08339101076126099}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.819096565246582},{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.7617130279541016},{"id":"https://openalex.org/C157544257","wikidata":"https://www.wikidata.org/wiki/Q866300","display_name":"Bisection method","level":2,"score":0.6914200186729431},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.5636983513832092},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4962201714515686},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4872349798679352},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.4804684519767761},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4741237461566925},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4647921919822693},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4591303765773773},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.44948089122772217},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3495097756385803},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1565803587436676},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12468022108078003},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09169366955757141},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08545073866844177},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.08339101076126099},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-018-0719-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-018-0719-x","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jglopt:v:73:y:2019:i:2:d:10.1007_s10898-018-0719-x","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-018-0719-x","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":[{"id":"https://metadata.un.org/sdg/17","score":0.41999998688697815,"display_name":"Partnerships for the goals"}],"awards":[{"id":"https://openalex.org/G4727340744","display_name":null,"funder_award_id":"11771056","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"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":28,"referenced_works":["https://openalex.org/W3161171","https://openalex.org/W147998453","https://openalex.org/W1968735445","https://openalex.org/W1994666506","https://openalex.org/W2008229822","https://openalex.org/W2014431362","https://openalex.org/W2014614335","https://openalex.org/W2030255580","https://openalex.org/W2033242948","https://openalex.org/W2040055413","https://openalex.org/W2050761493","https://openalex.org/W2057317983","https://openalex.org/W2067314231","https://openalex.org/W2075184363","https://openalex.org/W2080641403","https://openalex.org/W2091850740","https://openalex.org/W2098968017","https://openalex.org/W2100115174","https://openalex.org/W2102501784","https://openalex.org/W2104564613","https://openalex.org/W2163924219","https://openalex.org/W2796404152","https://openalex.org/W2798909945","https://openalex.org/W3003775594","https://openalex.org/W4206428854","https://openalex.org/W4210599947","https://openalex.org/W4212783130","https://openalex.org/W4235126984"],"related_works":["https://openalex.org/W2337734184","https://openalex.org/W2388364587","https://openalex.org/W2322955667","https://openalex.org/W2373176546","https://openalex.org/W2127000180","https://openalex.org/W2152224705","https://openalex.org/W2050033254","https://openalex.org/W2561531189","https://openalex.org/W2385735574","https://openalex.org/W2057439054"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}