{"id":"https://openalex.org/W2796404152","doi":"https://doi.org/10.1007/s10589-018-0004-4","title":"Efficiently solving total least squares with Tikhonov identical regularization","display_name":"Efficiently solving total least squares with Tikhonov identical regularization","publication_year":2018,"publication_date":"2018-04-03","ids":{"openalex":"https://openalex.org/W2796404152","doi":"https://doi.org/10.1007/s10589-018-0004-4","mag":"2796404152"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-018-0004-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-018-0004-4","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/A5066543309","display_name":"Meijia Yang","orcid":"https://orcid.org/0000-0002-4542-9631"},"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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Meijia Yang","raw_affiliation_strings":["LMIB of the Ministry of Education, School of Mathematics and System Sciences, Beihang University, Beijing, 100191, People\u2019s Republic of China","LMIB of the Ministry of Education, School of Mathematics and System Sciences, Beihang University, Beijing, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"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"]},{"raw_affiliation_string":"LMIB of the Ministry of Education, School of Mathematics and System Sciences, Beihang University, Beijing, People\u2019s Republic of China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018163414","display_name":"Yong Xia","orcid":"https://orcid.org/0000-0001-6610-9680"},"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"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yong Xia","raw_affiliation_strings":["LMIB of the Ministry of Education, School of Mathematics and System Sciences, Beihang University, Beijing, 100191, People\u2019s Republic of China","LMIB of the Ministry of Education, School of Mathematics and System Sciences, Beihang University, Beijing, People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-3522-7446","affiliations":[{"raw_affiliation_string":"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"]},{"raw_affiliation_string":"LMIB of the Ministry of Education, School of Mathematics and System Sciences, Beihang University, Beijing, People\u2019s Republic of China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084383242","display_name":"Jiulin Wang","orcid":"https://orcid.org/0000-0002-5310-2348"},"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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiulin Wang","raw_affiliation_strings":["LMIB of the Ministry of Education, School of Mathematics and System Sciences, Beihang University, Beijing, 100191, People\u2019s Republic of China","LMIB of the Ministry of Education, School of Mathematics and System Sciences, Beihang University, Beijing, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"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"]},{"raw_affiliation_string":"LMIB of the Ministry of Education, School of Mathematics and System Sciences, Beihang University, Beijing, People\u2019s Republic of China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111509378","display_name":"Jiming Peng","orcid":null},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jiming Peng","raw_affiliation_strings":["Department of Industrial Engineering, University of Houston, Houston, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, University of Houston, Houston, USA","institution_ids":["https://openalex.org/I44461941"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5018163414"],"corresponding_institution_ids":["https://openalex.org/I82880672"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.4237,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.88141011,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"70","issue":"2","first_page":"571","last_page":"592"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9887999892234802,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9549000263214111,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.8612173795700073},{"id":"https://openalex.org/keywords/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.7858002185821533},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.7635784149169922},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5908963084220886},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5557721853256226},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.554222583770752},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.5353987812995911},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.5205503702163696},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5061728358268738},{"id":"https://openalex.org/keywords/stationary-point","display_name":"Stationary point","score":0.4624071419239044},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.4113011360168457},{"id":"https://openalex.org/keywords/newtons-method-in-optimization","display_name":"Newton's method in optimization","score":0.4110003113746643},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.2869936227798462},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.25498679280281067},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2500195801258087},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.156270831823349},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15069326758384705},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10857325792312622},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10122451186180115},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.08085450530052185}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8612173795700073},{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.7858002185821533},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.7635784149169922},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5908963084220886},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5557721853256226},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.554222583770752},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.5353987812995911},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.5205503702163696},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5061728358268738},{"id":"https://openalex.org/C189237950","wikidata":"https://www.wikidata.org/wiki/Q2500758","display_name":"Stationary point","level":2,"score":0.4624071419239044},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.4113011360168457},{"id":"https://openalex.org/C179127668","wikidata":"https://www.wikidata.org/wiki/Q17086396","display_name":"Newton's method in optimization","level":4,"score":0.4110003113746643},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.2869936227798462},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.25498679280281067},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2500195801258087},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.156270831823349},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15069326758384705},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10857325792312622},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10122451186180115},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.08085450530052185},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10589-018-0004-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-018-0004-4","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:70:y:2018:i:2:d:10.1007_s10589-018-0004-4","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10589-018-0004-4","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":[{"id":"https://openalex.org/G2461430294","display_name":null,"funder_award_id":"CMMI-1537712","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"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"},{"id":"https://openalex.org/G8816672763","display_name":null,"funder_award_id":"CMMI-1359548","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W3161171","https://openalex.org/W1967956032","https://openalex.org/W1968735445","https://openalex.org/W1999218360","https://openalex.org/W2008229822","https://openalex.org/W2014431362","https://openalex.org/W2026518456","https://openalex.org/W2030255580","https://openalex.org/W2033242948","https://openalex.org/W2050761493","https://openalex.org/W2057317983","https://openalex.org/W2090165180","https://openalex.org/W2091850740","https://openalex.org/W2100115174","https://openalex.org/W2104564613","https://openalex.org/W2136628853","https://openalex.org/W2156577211","https://openalex.org/W2163924219","https://openalex.org/W2328159846","https://openalex.org/W2328936146","https://openalex.org/W2798909945","https://openalex.org/W4206428854","https://openalex.org/W4235126984"],"related_works":["https://openalex.org/W4297921956","https://openalex.org/W2951861326","https://openalex.org/W1985487460","https://openalex.org/W1996524002","https://openalex.org/W2186033144","https://openalex.org/W2350788688","https://openalex.org/W2123238992","https://openalex.org/W2972343833","https://openalex.org/W2382791194","https://openalex.org/W2387535608"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}