{"id":"https://openalex.org/W2139114004","doi":"https://doi.org/10.1137/040612233","title":"A Global Solution for the Structured Total Least Squares Problem with Block Circulant Matrices","display_name":"A Global Solution for the Structured Total Least Squares Problem with Block Circulant Matrices","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2139114004","doi":"https://doi.org/10.1137/040612233","mag":"2139114004"},"language":"en","primary_location":{"id":"doi:10.1137/040612233","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040612233","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/A5069363394","display_name":"Amir Beck","orcid":"https://orcid.org/0000-0003-1493-291X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Amir Beck","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5045105549","display_name":"Aharon Ben\u2010Tal","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Aharon Ben-Tal","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5069363394"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.1957,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.94312394,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"27","issue":"1","first_page":"238","last_page":"255"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":1.0,"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":1.0,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9467999935150146,"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"}},{"id":"https://openalex.org/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9154999852180481,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/circulant-matrix","display_name":"Circulant matrix","score":0.9730773568153381},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7845269441604614},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.702983021736145},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.5165123343467712},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4533975124359131},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.43164175748825073},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3226425051689148},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0915551483631134}],"concepts":[{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.9730773568153381},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7845269441604614},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.702983021736145},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.5165123343467712},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4533975124359131},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.43164175748825073},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3226425051689148},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0915551483631134},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/040612233","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040612233","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:CiteSeerX.psu:10.1.1.231.4706","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.231.4706","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ie.technion.ac.il/%7Ebecka/papers/61223.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1483789449","https://openalex.org/W1974879895","https://openalex.org/W1981745143","https://openalex.org/W2006860831","https://openalex.org/W2008229822","https://openalex.org/W2030255580","https://openalex.org/W2049757530","https://openalex.org/W2079784985","https://openalex.org/W2084924291","https://openalex.org/W2114449024","https://openalex.org/W2123523921","https://openalex.org/W2132346118","https://openalex.org/W2157298716","https://openalex.org/W2171542363","https://openalex.org/W2500266379","https://openalex.org/W2752885492","https://openalex.org/W2798909945","https://openalex.org/W3145128584","https://openalex.org/W4206428854"],"related_works":["https://openalex.org/W2117159910","https://openalex.org/W2139378013","https://openalex.org/W2044900700","https://openalex.org/W2560470131","https://openalex.org/W2049656902","https://openalex.org/W2394404719","https://openalex.org/W2903415888","https://openalex.org/W4287113494","https://openalex.org/W2348308003","https://openalex.org/W3148564979"],"abstract_inverted_index":{"We":[0,27],"study":[1],"the":[2,32,37,59,64,77,93],"structured":[3],"total":[4,43],"least":[5,44],"squares":[6,45],"(STLS)":[7],"problem":[8,39,91],"of":[9,11,51,63,87,95],"system":[10],"linear":[12],"equations":[13],"Ax":[14],"=":[15],"b,":[16],"where":[17],"A":[18],"has":[19],"a":[20,96],"block":[21,73],"circulant":[22,74],"structure":[23],"with":[24],"N":[25,49],"blocks.":[26],"show":[28],"that":[29],"by":[30,82],"applying":[31],"discrete":[33],"Fourier":[34],"transform":[35],"(DFT),":[36],"STLS":[38,65],"decomposes":[40],"into":[41],"Nunstructured":[42],"(TLS)":[46],"problems.":[47],"The":[48],"solutions":[50],"these":[52],"problems":[53],"are":[54,69],"then":[55],"assembled":[56],"to":[57],"generate":[58],"optimal":[60,78],"global":[61],"solution":[62,79],"problem.":[66,99],"Similar":[67],"results":[68],"obtained":[70,81],"for":[71],"elementary":[72],"matrices.":[75],"Here":[76],"is":[80],"assembling":[83],"two":[84],"solutions:":[85],"one":[86],"an":[88],"unstructured":[89],"TLS":[90,98],"and":[92],"second":[94],"multidimensional":[97]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}