{"id":"https://openalex.org/W2071769200","doi":"https://doi.org/10.1007/s11045-015-0328-5","title":"Relative gradient based algorithms for general joint diagonalization of complex matrices","display_name":"Relative gradient based algorithms for general joint diagonalization of complex matrices","publication_year":2015,"publication_date":"2015-04-21","ids":{"openalex":"https://openalex.org/W2071769200","doi":"https://doi.org/10.1007/s11045-015-0328-5","mag":"2071769200"},"language":"en","primary_location":{"id":"doi:10.1007/s11045-015-0328-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11045-015-0328-5","pdf_url":null,"source":{"id":"https://openalex.org/S198285748","display_name":"Multidimensional Systems and Signal Processing","issn_l":"0923-6082","issn":["0923-6082","1573-0824"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multidimensional Systems and Signal Processing","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/A5005576857","display_name":"Tual Trainini","orcid":null},"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/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]},{"id":"https://openalex.org/I190861549","display_name":"Arts et M\u00e9tiers","ror":"https://ror.org/018pp1107","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I190861549","https://openalex.org/I4210134562"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]},{"id":"https://openalex.org/I4210088993","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'Architecture Montpellier","ror":"https://ror.org/008axfh28","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210088993"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Tual Trainini","raw_affiliation_strings":["CNRS, ENSAM, LSIS, UMR 7296, Aix Marseille Universit\u00e9, 13397, Marseille, France","CNRS, LSIS, UMR 7296, Universit\u00e9 de Toulon, 83957, La Garde, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, ENSAM, LSIS, UMR 7296, Aix Marseille Universit\u00e9, 13397, Marseille, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I190861549","https://openalex.org/I21491767","https://openalex.org/I4210088993"]},{"raw_affiliation_string":"CNRS, LSIS, UMR 7296, Universit\u00e9 de Toulon, 83957, La Garde, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I143002897"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062576682","display_name":"\u00c9ric Moreau","orcid":"https://orcid.org/0000-0001-7804-4861"},"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/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]},{"id":"https://openalex.org/I190861549","display_name":"Arts et M\u00e9tiers","ror":"https://ror.org/018pp1107","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I190861549","https://openalex.org/I4210134562"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]},{"id":"https://openalex.org/I4210088993","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'Architecture Montpellier","ror":"https://ror.org/008axfh28","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210088993"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Eric Moreau","raw_affiliation_strings":["CNRS, ENSAM, LSIS, UMR 7296, Aix Marseille Universit\u00e9, 13397, Marseille, France","CNRS, LSIS, UMR 7296, Universit\u00e9 de Toulon, 83957, La Garde, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, ENSAM, LSIS, UMR 7296, Aix Marseille Universit\u00e9, 13397, Marseille, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I190861549","https://openalex.org/I21491767","https://openalex.org/I4210088993"]},{"raw_affiliation_string":"CNRS, LSIS, UMR 7296, Universit\u00e9 de Toulon, 83957, La Garde, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I143002897"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5005576857"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I190861549","https://openalex.org/I21491767","https://openalex.org/I4210088993"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05845306,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"27","issue":"1","first_page":"275","last_page":"293"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":1.0,"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":1.0,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/multiplicative-function","display_name":"Multiplicative function","score":0.7247503995895386},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7185812592506409},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.6136752367019653},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5946296453475952},{"id":"https://openalex.org/keywords/blind-signal-separation","display_name":"Blind signal separation","score":0.5597629547119141},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5362955927848816},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5029363036155701},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45510023832321167},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.43329498171806335},{"id":"https://openalex.org/keywords/joint","display_name":"Joint (building)","score":0.4131259024143219},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39879095554351807},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3541848063468933},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08569136261940002},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07943993806838989}],"concepts":[{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.7247503995895386},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7185812592506409},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.6136752367019653},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5946296453475952},{"id":"https://openalex.org/C120317606","wikidata":"https://www.wikidata.org/wiki/Q17105967","display_name":"Blind signal separation","level":3,"score":0.5597629547119141},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5362955927848816},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5029363036155701},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45510023832321167},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.43329498171806335},{"id":"https://openalex.org/C18555067","wikidata":"https://www.wikidata.org/wiki/Q8375051","display_name":"Joint (building)","level":2,"score":0.4131259024143219},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39879095554351807},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3541848063468933},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08569136261940002},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07943993806838989},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C170154142","wikidata":"https://www.wikidata.org/wiki/Q150737","display_name":"Architectural engineering","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11045-015-0328-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11045-015-0328-5","pdf_url":null,"source":{"id":"https://openalex.org/S198285748","display_name":"Multidimensional Systems and Signal Processing","issn_l":"0923-6082","issn":["0923-6082","1573-0824"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multidimensional Systems and Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1498395413","https://openalex.org/W1504916180","https://openalex.org/W1547871937","https://openalex.org/W1755563775","https://openalex.org/W1868590549","https://openalex.org/W1964204554","https://openalex.org/W1979184222","https://openalex.org/W1983434571","https://openalex.org/W2023439663","https://openalex.org/W2050597764","https://openalex.org/W2099741732","https://openalex.org/W2124757684","https://openalex.org/W2125550523","https://openalex.org/W2137185871","https://openalex.org/W2155599429","https://openalex.org/W2161566590","https://openalex.org/W2166288622","https://openalex.org/W2181528248","https://openalex.org/W2248478808","https://openalex.org/W2494015060","https://openalex.org/W3100792434","https://openalex.org/W4300989551"],"related_works":["https://openalex.org/W3196977684","https://openalex.org/W4317464059","https://openalex.org/W4318195686","https://openalex.org/W2383482627","https://openalex.org/W4378757502","https://openalex.org/W2975999359","https://openalex.org/W4385248177","https://openalex.org/W2994793674","https://openalex.org/W2889447638","https://openalex.org/W4244117186"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}