{"id":"https://openalex.org/W1998005284","doi":"https://doi.org/10.1137/s0895479803434902","title":"Block-Toeplitz/Hankel Structured Total Least Squares","display_name":"Block-Toeplitz/Hankel Structured Total Least Squares","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1998005284","doi":"https://doi.org/10.1137/s0895479803434902","mag":"1998005284"},"language":"en","primary_location":{"id":"doi:10.1137/s0895479803434902","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895479803434902","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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 Matrix Analysis 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/A5013581554","display_name":"Ivan Markovsky","orcid":"https://orcid.org/0000-0001-9976-9685"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Ivan Markovsky","raw_affiliation_strings":["ESAT-SCD (SISTA), Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001 Leuven-Heverlee, Belgium"],"affiliations":[{"raw_affiliation_string":"ESAT-SCD (SISTA), Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001 Leuven-Heverlee, Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049055621","display_name":"Sabine Van Huffel","orcid":"https://orcid.org/0000-0001-5939-0996"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Sabine Van Huffel","raw_affiliation_strings":["ESAT-SCD (SISTA), Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001 Leuven-Heverlee, Belgium"],"affiliations":[{"raw_affiliation_string":"ESAT-SCD (SISTA), Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001 Leuven-Heverlee, Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034235885","display_name":"Rik Pintelon","orcid":"https://orcid.org/0000-0003-2389-2075"},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Rik Pintelon","raw_affiliation_strings":["Department ELEC, Vrije Universiteit Brussel, Pleinlaan 2, B-1050 Brussels, Belgium"],"affiliations":[{"raw_affiliation_string":"Department ELEC, Vrije Universiteit Brussel, Pleinlaan 2, B-1050 Brussels, Belgium","institution_ids":["https://openalex.org/I13469542"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5013581554"],"corresponding_institution_ids":["https://openalex.org/I99464096"],"apc_list":null,"apc_paid":null,"fwci":5.1281,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.95500849,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"26","issue":"4","first_page":"1083","last_page":"1099"},"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/T11236","display_name":"Control Systems and Identification","score":0.9804999828338623,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9532999992370605,"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/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.8911155462265015},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.720981240272522},{"id":"https://openalex.org/keywords/hankel-matrix","display_name":"Hankel matrix","score":0.6904076337814331},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.560896098613739},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5486122965812683},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5435940027236938},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.5100072622299194},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49906015396118164},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4740571677684784},{"id":"https://openalex.org/keywords/block-matrix","display_name":"Block matrix","score":0.4243868291378021},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42368507385253906},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4215690493583679},{"id":"https://openalex.org/keywords/linear-least-squares","display_name":"Linear least squares","score":0.41743314266204834},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3945264518260956},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.21188563108444214},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10796183347702026},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08938959240913391}],"concepts":[{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.8911155462265015},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.720981240272522},{"id":"https://openalex.org/C25023664","wikidata":"https://www.wikidata.org/wiki/Q1575637","display_name":"Hankel matrix","level":2,"score":0.6904076337814331},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.560896098613739},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5486122965812683},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5435940027236938},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.5100072622299194},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49906015396118164},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4740571677684784},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.4243868291378021},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42368507385253906},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4215690493583679},{"id":"https://openalex.org/C58663186","wikidata":"https://www.wikidata.org/wiki/Q6553462","display_name":"Linear least squares","level":3,"score":0.41743314266204834},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3945264518260956},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.21188563108444214},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10796183347702026},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08938959240913391},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/s0895479803434902","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895479803434902","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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 Matrix Analysis and Applications","raw_type":"journal-article"},{"id":"pmh:oai:eprints.soton.ac.uk:263298","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401019","display_name":"ePrints Soton (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.558.7444","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.558.7444","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://eprints.soton.ac.uk/263298/1/stls_block_published.pdf","raw_type":"text"},{"id":"pmh:oai:vubissmart:VUBISSMART:2000:28170","is_oa":false,"landing_page_url":"https://biblio.vub.ac.be/vubir/blocktoeplitzhankel-structured-total-least-squares(677cf908-40ee-476a-8663-3f43b7ce57cb).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306402573","display_name":"VUBIR (Vrije Universiteit Brussel)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I13469542","host_organization_name":"Vrije Universiteit Brussel","host_organization_lineage":["https://openalex.org/I13469542"],"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/G2059452864","display_name":null,"funder_award_id":"G.0407.02","funder_id":"https://openalex.org/F4320327336","funder_display_name":"Vlaamse regering"},{"id":"https://openalex.org/G3231420740","display_name":null,"funder_award_id":"postdoc","funder_id":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G5388806002","display_name":null,"funder_award_id":"unknown","funder_id":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320315885","display_name":"Australian Government","ror":"https://ror.org/0314h5y94"},{"id":"https://openalex.org/F4320321730","display_name":"Fonds Wetenschappelijk Onderzoek","ror":"https://ror.org/03qtxy027"},{"id":"https://openalex.org/F4320327336","display_name":"Vlaamse regering","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W588139629","https://openalex.org/W654294952","https://openalex.org/W1515361063","https://openalex.org/W1592101253","https://openalex.org/W1639827531","https://openalex.org/W1812003359","https://openalex.org/W1974879895","https://openalex.org/W2006860831","https://openalex.org/W2008229822","https://openalex.org/W2030255580","https://openalex.org/W2043340458","https://openalex.org/W2049757530","https://openalex.org/W2064733273","https://openalex.org/W2076481713","https://openalex.org/W2078719778","https://openalex.org/W2084924291","https://openalex.org/W2095692981","https://openalex.org/W2103969309","https://openalex.org/W2114449024","https://openalex.org/W2115727068","https://openalex.org/W2132346118","https://openalex.org/W2526834949","https://openalex.org/W2615836285","https://openalex.org/W3042168128","https://openalex.org/W3143949042","https://openalex.org/W4206428854","https://openalex.org/W4235126984"],"related_works":["https://openalex.org/W2949966822","https://openalex.org/W2229973481","https://openalex.org/W1986851914","https://openalex.org/W2583841453","https://openalex.org/W4386863313","https://openalex.org/W2009353134","https://openalex.org/W2086669233","https://openalex.org/W2766262910","https://openalex.org/W2201692517","https://openalex.org/W3104215207"],"abstract_inverted_index":{"A":[0],"structured":[1],"total":[2],"least":[3],"squares":[4],"problem":[5,32,46],"is":[6,14,23,33,74,91],"considered":[7],"in":[8,76],"which":[9],"the":[10,21,44,51,55,61,63,67,77,82],"extended":[11],"data":[12],"matrix":[13],"partitioned":[15],"into":[16],"blocks":[17,22],"and":[18,35,87],"each":[19],"of":[20,43,54,66,81],"block-Toeplitz/Hankel":[24],"structured,":[25],"unstructured,":[26],"or":[27],"exact.":[28],"An":[29],"equivalent":[30,45],"optimization":[31,70],"derived":[34],"its":[36],"properties":[37],"are":[38],"established.":[39],"The":[40],"special":[41],"structure":[42],"enables":[47],"us":[48],"to":[49],"improve":[50],"computational":[52,64],"efficiency":[53],"numerical":[56],"solution":[57],"methods.":[58],"By":[59],"exploiting":[60],"structure,":[62],"complexity":[65],"algorithms":[68],"(local":[69],"methods)":[71],"per":[72],"iteration":[73],"linear":[75],"sample":[78],"size.":[79],"Application":[80],"method":[83],"for":[84,88],"system":[85],"identification":[86],"model":[89],"reduction":[90],"illustrated":[92],"by":[93],"simulation":[94],"examples.":[95]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}