{"id":"https://openalex.org/W1997301958","doi":"https://doi.org/10.1137/0613046","title":"A Unitarily Constrained Total Least Squares Problem in Signal Processing","display_name":"A Unitarily Constrained Total Least Squares Problem in Signal Processing","publication_year":1992,"publication_date":"1992-07-01","ids":{"openalex":"https://openalex.org/W1997301958","doi":"https://doi.org/10.1137/0613046","mag":"1997301958"},"language":"en","primary_location":{"id":"doi:10.1137/0613046","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0613046","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/A5001813486","display_name":"K.S. Arun","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"K. S. Arun","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5001813486"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.4621,"has_fulltext":false,"cited_by_count":56,"citation_normalized_percentile":{"value":0.95212422,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"13","issue":"3","first_page":"729","last_page":"745"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.989799976348877,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9833999872207642,"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/overdetermined-system","display_name":"Overdetermined system","score":0.931182861328125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8077743053436279},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.6926983594894409},{"id":"https://openalex.org/keywords/linear-least-squares","display_name":"Linear least squares","score":0.66192626953125},{"id":"https://openalex.org/keywords/total-least-squares","display_name":"Total least squares","score":0.6355319619178772},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5313509106636047},{"id":"https://openalex.org/keywords/non-linear-least-squares","display_name":"Non-linear least squares","score":0.5062047839164734},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46640387177467346},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46316584944725037},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.45216381549835205},{"id":"https://openalex.org/keywords/underdetermined-system","display_name":"Underdetermined system","score":0.44613391160964966},{"id":"https://openalex.org/keywords/generalized-least-squares","display_name":"Generalized least squares","score":0.43344298005104065},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39897802472114563},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.20251017808914185},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16329708695411682},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1430462896823883},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.08935612440109253},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08557486534118652}],"concepts":[{"id":"https://openalex.org/C81901731","wikidata":"https://www.wikidata.org/wiki/Q331348","display_name":"Overdetermined system","level":2,"score":0.931182861328125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8077743053436279},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.6926983594894409},{"id":"https://openalex.org/C58663186","wikidata":"https://www.wikidata.org/wiki/Q6553462","display_name":"Linear least squares","level":3,"score":0.66192626953125},{"id":"https://openalex.org/C169241690","wikidata":"https://www.wikidata.org/wiki/Q7828122","display_name":"Total least squares","level":3,"score":0.6355319619178772},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5313509106636047},{"id":"https://openalex.org/C45923927","wikidata":"https://www.wikidata.org/wiki/Q3319230","display_name":"Non-linear least squares","level":3,"score":0.5062047839164734},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46640387177467346},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46316584944725037},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.45216381549835205},{"id":"https://openalex.org/C179690561","wikidata":"https://www.wikidata.org/wiki/Q4316110","display_name":"Underdetermined system","level":2,"score":0.44613391160964966},{"id":"https://openalex.org/C188649462","wikidata":"https://www.wikidata.org/wiki/Q2246261","display_name":"Generalized least squares","level":3,"score":0.43344298005104065},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39897802472114563},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.20251017808914185},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16329708695411682},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1430462896823883},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.08935612440109253},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08557486534118652},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0613046","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0613046","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1967486001","https://openalex.org/W1988874269","https://openalex.org/W1993576584","https://openalex.org/W2005705013","https://openalex.org/W2008229822","https://openalex.org/W2070162767","https://openalex.org/W2088307891","https://openalex.org/W2089957712","https://openalex.org/W2134609006","https://openalex.org/W2150073733","https://openalex.org/W2162443378"],"related_works":["https://openalex.org/W4382519919","https://openalex.org/W1997267293","https://openalex.org/W2912098470","https://openalex.org/W2030255580","https://openalex.org/W4298864939","https://openalex.org/W2294602577","https://openalex.org/W2051277630","https://openalex.org/W2493516920","https://openalex.org/W2963072183","https://openalex.org/W2388513917"],"abstract_inverted_index":{"The":[0,26,43],"problem":[1,27,51],"addressed":[2],"here":[3],"is":[4,52],"the":[5,8,46,56,59,62],"determination":[6],"of":[7,18,24,35],"total":[9,48],"least":[10,49],"squares":[11,50],"solution,":[12],"subject":[13],"to":[14,45,54,61],"a":[15],"unitary":[16],"constraint,":[17],"an":[19],"overdetermined,":[20],"inconsistent,":[21],"linear":[22],"system":[23],"equations.":[25],"arises":[28],"in":[29],"many":[30],"signal":[31],"processing":[32],"applications,":[33],"three":[34],"which":[36],"are":[37],"briefly":[38],"presented":[39],"and":[40],"studied":[41],"here.":[42],"solution":[44,60],"constrained":[47],"seen":[53],"be":[55],"same":[57],"as":[58],"orthogonal":[63],"Procrustes":[64],"problem.":[65]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
