{"id":"https://openalex.org/W2080175185","doi":"https://doi.org/10.1137/1035157","title":"The Total Least Squares Problem: Computational Aspects and Analysis (S. Van Huffel and J. Vandewalle)","display_name":"The Total Least Squares Problem: Computational Aspects and Analysis (S. Van Huffel and J. Vandewalle)","publication_year":1993,"publication_date":"1993-12-01","ids":{"openalex":"https://openalex.org/W2080175185","doi":"https://doi.org/10.1137/1035157","mag":"2080175185"},"language":"en","primary_location":{"id":"doi:10.1137/1035157","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1035157","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"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 Review","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/A5056924173","display_name":"Ricardo D. Fierro","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ricardo D. Fierro","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5056924173"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.5363,"has_fulltext":false,"cited_by_count":132,"citation_normalized_percentile":{"value":0.93252629,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"35","issue":"4","first_page":"660","last_page":"662"},"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9259999990463257,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12368","display_name":"Grey System Theory Applications","score":0.9006999731063843,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.5488196611404419},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49834132194519043},{"id":"https://openalex.org/keywords/total-least-squares","display_name":"Total least squares","score":0.4806560277938843},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4321776032447815},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.42370182275772095},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3684678375720978},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.31602123379707336},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.2751386761665344}],"concepts":[{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.5488196611404419},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49834132194519043},{"id":"https://openalex.org/C169241690","wikidata":"https://www.wikidata.org/wiki/Q7828122","display_name":"Total least squares","level":3,"score":0.4806560277938843},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4321776032447815},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.42370182275772095},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3684678375720978},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.31602123379707336},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.2751386761665344},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/1035157","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1035157","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"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 Review","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4399999976158142,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W2008229822","https://openalex.org/W2071327759"],"related_works":["https://openalex.org/W2333019576","https://openalex.org/W2144348065","https://openalex.org/W2352799888","https://openalex.org/W2067433857","https://openalex.org/W1964208682","https://openalex.org/W1527126325","https://openalex.org/W2013164319","https://openalex.org/W2096205459","https://openalex.org/W1967034752","https://openalex.org/W2388268395"],"abstract_inverted_index":{"Previous":[0,119],"article":[1,3,120,122],"Next":[2,121],"The":[4],"Total":[5,49],"Least":[6,46,50,178],"Squares":[7,47],"Problem:":[8],"Computational":[9],"Aspects":[10],"and":[11,16,32,48,93,186,218,224,231,263,279],"Analysis":[12],"(S.":[13],"Van":[14,97],"Huffel":[15],"J.":[17,108],"Vandewalle)Ricardo":[18],"D.":[19,21,30],"FierroRicardo":[20],"Fierrohttps://doi.org/10.1137/1035157PDFBibTexSections":[22],"ToolsAdd":[23],"to":[24,45],"favoritesExport":[25],"CitationTrack":[26],"CitationsEmail":[27],"SectionsAbout[1]":[28],"Ricardo":[29],"Fierro":[31],",":[33,94],"James":[34],"R.":[35],"Bunch,":[36],"Perturbation":[37],"Theory":[38],"for":[39,151,220,233,261,277],"Orthogonal":[40],"Projection":[41],"Methods":[42],"with":[43,129],"Applications":[44],"Squares,":[51],"CAM":[52],"Report,":[53],"92-44,":[54],"Dept.":[55],"of":[56,59,101,156,175,216],"Mathematics,":[57],"Univ.":[58],"California,":[60],"Los":[61],"Angeles,":[62],"1992":[63],"Google":[64],"Scholar[2]":[65],"Leon":[66],"Jay":[67],"Gleser,":[68],"Estimation":[69],"in":[70,74],"a":[71],"multivariate":[72],"\u201cerrors":[73],"variables\u201d":[75],"regression":[76],"model:":[77],"large":[78],"sample":[79],"results,":[80],"Ann.":[81],"Statist.,":[82],"9":[83],"(1981),":[84],"24\u201344":[85],"82c:62096":[86],"0496.62049":[87],"CrossrefISIGoogle":[88],"Scholar[3]":[89],"Gene":[90],"H.":[91],"Golub":[92],"Charles":[95],"F.":[96],"Loan,":[98],"An":[99,148],"analysis":[100],"the":[102,201],"total":[103],"least":[104],"squares":[105],"problem,":[106],"SIAM":[107],"Numer.":[109],"Anal.,":[110],"17":[111],"(1980),":[112],"883\u2013893":[113],"10.1137/0717073":[114],"83g:65020":[115],"0468.65011":[116],"LinkISIGoogle":[117],"Scholar":[118],"FiguresRelatedReferencesCited":[123],"ByDetails":[124],"New":[125],"Multi-View":[126],"Classification":[127],"Method":[128],"Uncertain":[130],"DataACM":[131],"Transactions":[132,159,228],"on":[133,160,183,229],"Knowledge":[134],"Discovery":[135],"from":[136],"Data,":[137],"Vol.":[138,162,205,236],"16,":[139],"No.":[140,164,207,238],"1":[141,167,191,210,241],"|":[142,166,190,209,240],"28":[143],"Feb":[144],"2022":[145],"Cross":[146,170,194,213,244],"Ref":[147,171,195,214,245],"Iterative":[149],"Approach":[150],"Accurate":[152],"Dynamic":[153],"Model":[154],"Identification":[155],"Industrial":[157,262,278],"RobotsIEEE":[158],"Robotics,":[161],"36,":[163],"5":[165,239],"Oct":[168],"2020":[169],"Analytical":[172],"performance":[173],"assessment":[174],"1-D":[176],"Structured":[177],"Squares2011":[179],"IEEE":[180],"International":[181],"Conference":[182],"Acoustics,":[184],"Speech":[185],"Signal":[187],"Processing":[188],"(ICASSP)":[189],"May":[192,242],"2011":[193,212],"Arbitrarily":[196],"colored":[197],"ball":[198],"detection":[199],"using":[200],"structure":[202],"tensor":[203],"techniqueMechatronics,":[204],"21,":[206],"2":[208],"Mar":[211],"Integration":[215],"frequency":[217],"space":[219],"multiple":[221],"motion":[222],"estimation":[223],"shape-independent":[225],"object":[226],"segmentationIEEE":[227],"Circuits":[230],"Systems":[232],"Video":[234],"Technology,":[235],"18,":[237],"2008":[243],"Volume":[246],"35,":[247],"Issue":[248],"4|":[249],"1993SIAM":[250],"Review551-694":[251],"History":[252],"Published":[253],"online:12":[254],"July":[255],"2006":[256],"InformationCopyright":[257],"\u00a9":[258],"1993":[259],"Society":[260],"Applied":[264,280],"MathematicsPDF":[265],"Download":[266],"Article":[267],"&":[268],"Publication":[269],"DataArticle":[270],"DOI:10.1137/1035157Article":[271],"page":[272],"range:pp.":[273],"660-662ISSN":[274],"(print):0036-1445ISSN":[275],"(online):1095-7200Publisher:Society":[276],"Mathematics":[281]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}