{"id":"https://openalex.org/W2068714452","doi":"https://doi.org/10.1109/icassp.2010.5495846","title":"Approximate joint diagonalization by nonorthogonal nonparametric Jacobi transformations","display_name":"Approximate joint diagonalization by nonorthogonal nonparametric Jacobi transformations","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2068714452","doi":"https://doi.org/10.1109/icassp.2010.5495846","mag":"2068714452"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2010.5495846","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2010.5495846","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Conference on Acoustics, Speech and Signal Processing","raw_type":"proceedings-article"},"type":"conference-paper","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/A5102185060","display_name":"Xijing Guo","orcid":null},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xijing Guo","raw_affiliation_strings":["Department of Information and Communication Engineering, Xi''an Jiaotong University, Xi'an, China","Department of Information and Communication Engineering; Xi'an Jiaotong University 710049; China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information and Communication Engineering, Xi''an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"Department of Information and Communication Engineering; Xi'an Jiaotong University 710049; China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100529980","display_name":"Shihua Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shihua Zhu","raw_affiliation_strings":["Department of Information and Communication Engineering, Xi''an Jiaotong University, Xi'an, China","Department of Information and Communication Engineering; Xi'an Jiaotong University 710049; China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information and Communication Engineering, Xi''an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"Department of Information and Communication Engineering; Xi'an Jiaotong University 710049; China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018640378","display_name":"S\u00e9bastian Miron","orcid":"https://orcid.org/0000-0003-4733-6698"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sebastian Miron","raw_affiliation_strings":["Centre de Recherche en Automatique de Nancy, CNRS, Nancy-Universit\u00e9, Vandoeuvre-les-Nancy, France","Centre de Recherche en Automatique de Nancy, Nancy-Universit\u00e9, CNRS, Boulevard des Aiguilletes, B.P. 239 F-54506 Vandoeuvre l\u00e8s Nancy, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre de Recherche en Automatique de Nancy, CNRS, Nancy-Universit\u00e9, Vandoeuvre-les-Nancy, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210110792"]},{"raw_affiliation_string":"Centre de Recherche en Automatique de Nancy, Nancy-Universit\u00e9, CNRS, Boulevard des Aiguilletes, B.P. 239 F-54506 Vandoeuvre l\u00e8s Nancy, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210110792","https://openalex.org/I90183372"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039172462","display_name":"David Brie","orcid":"https://orcid.org/0000-0002-2373-3480"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"David Brie","raw_affiliation_strings":["Centre de Recherche en Automatique de Nancy, CNRS, Nancy-Universit\u00e9, Vandoeuvre-les-Nancy, France","Centre de Recherche en Automatique de Nancy, Nancy-Universit\u00e9, CNRS, Boulevard des Aiguilletes, B.P. 239 F-54506 Vandoeuvre l\u00e8s Nancy, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre de Recherche en Automatique de Nancy, CNRS, Nancy-Universit\u00e9, Vandoeuvre-les-Nancy, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210110792"]},{"raw_affiliation_string":"Centre de Recherche en Automatique de Nancy, Nancy-Universit\u00e9, CNRS, Boulevard des Aiguilletes, B.P. 239 F-54506 Vandoeuvre l\u00e8s Nancy, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210110792","https://openalex.org/I90183372"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"3889","issue":null,"first_page":"3774","last_page":"3777"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9997000098228455,"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/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.9703999757766724,"subfield":{"id":"https://openalex.org/subfields/1602","display_name":"Analytical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9690999984741211,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.8203612565994263},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.6170955896377563},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.614581286907196},{"id":"https://openalex.org/keywords/jacobi-method","display_name":"Jacobi method","score":0.5618199110031128},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5459749102592468},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5420061945915222},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.49457070231437683},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4665740728378296},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4120938777923584},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40208348631858826},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3703550696372986},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10810708999633789}],"concepts":[{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.8203612565994263},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.6170955896377563},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.614581286907196},{"id":"https://openalex.org/C67923128","wikidata":"https://www.wikidata.org/wiki/Q1481893","display_name":"Jacobi method","level":2,"score":0.5618199110031128},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5459749102592468},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5420061945915222},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.49457070231437683},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4665740728378296},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4120938777923584},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40208348631858826},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3703550696372986},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10810708999633789},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.2010.5495846","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2010.5495846","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Conference on Acoustics, Speech and Signal Processing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1523185733","https://openalex.org/W1989581163","https://openalex.org/W2019543362","https://openalex.org/W2095950579","https://openalex.org/W2112220340","https://openalex.org/W2112335201","https://openalex.org/W2114493976","https://openalex.org/W2124757684","https://openalex.org/W2125550523","https://openalex.org/W2132499607","https://openalex.org/W2138996475","https://openalex.org/W2139457438","https://openalex.org/W2142638745","https://openalex.org/W2142975003","https://openalex.org/W2144935618","https://openalex.org/W2154488158","https://openalex.org/W2156665753","https://openalex.org/W2158218920","https://openalex.org/W2161566590","https://openalex.org/W4253314971","https://openalex.org/W6681158929"],"related_works":["https://openalex.org/W4251428025","https://openalex.org/W2784467519","https://openalex.org/W4289867043","https://openalex.org/W2366459771","https://openalex.org/W1973736094","https://openalex.org/W2350707375","https://openalex.org/W2377881809","https://openalex.org/W2355516922","https://openalex.org/W1959408986","https://openalex.org/W4297874386"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,13],"novel":[3],"algorithm":[4,54,72],"for":[5],"the":[6,24,34,37,70,78,82],"problem":[7],"of":[8,12,15,36,59,69,81],"nonorthogonal":[9],"joint":[10],"diagonalization":[11],"set":[14],"structured":[16],"matrices":[17,27],"based":[18],"on":[19],"successive":[20],"Jacobi-like":[21],"transformations.":[22],"Though":[23],"elementary":[25],"transformation":[26],"we":[28],"use":[29],"are":[30,41],"not":[31],"optimal":[32],"in":[33,50,57,75],"sense":[35],"global":[38],"criterion,":[39],"they":[40],"ensured":[42],"to":[43,77],"be":[44,48],"nonsingular,":[45],"and":[46,64],"can":[47],"computed":[49],"closed":[51],"form.":[52],"The":[53,67],"is":[55,73],"efficient":[56],"virtue":[58],"its":[60],"low":[61],"computational":[62],"complexity":[63],"fast":[65],"convergence.":[66],"performance":[68],"new":[71],"compared":[74],"simulations":[76],"similar":[79],"algorithms":[80],"recent":[83],"literature.":[84]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
