{"id":"https://openalex.org/W2168055777","doi":"https://doi.org/10.1109/icassp.2009.4960326","title":"Block Jacobi-type methods for non-orthogonal joint diagonalisation","display_name":"Block Jacobi-type methods for non-orthogonal joint diagonalisation","publication_year":2009,"publication_date":"2009-04-01","ids":{"openalex":"https://openalex.org/W2168055777","doi":"https://doi.org/10.1109/icassp.2009.4960326","mag":"2168055777"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2009.4960326","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2009.4960326","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Acoustics, Speech and Signal Processing","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://mediatum.ub.tum.de/node?id=979757","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101759952","display_name":"Hao Shen","orcid":"https://orcid.org/0000-0002-1945-4016"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Hao Shen","raw_affiliation_strings":["Institute of Data Processing, Technische Universit\u00e4t M\u00fcnchen, Munich, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Data Processing, Technische Universit\u00e4t M\u00fcnchen, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015357417","display_name":"Knut H\u00fcper","orcid":null},"institutions":[{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Knut Huper","raw_affiliation_strings":["Department of Mathematics, University of W\u00fcrzburg, Wurzburg, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of W\u00fcrzburg, Wurzburg, Germany","institution_ids":["https://openalex.org/I25974101"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101759952"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":null,"apc_paid":null,"fwci":1.7855,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.85689655,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"3285","last_page":"3288"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9918000102043152,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9794999957084656,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/block","display_name":"Block (permutation group theory)","score":0.5594750046730042},{"id":"https://openalex.org/keywords/joint","display_name":"Joint (building)","score":0.5180997252464294},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5170093774795532},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5084449052810669},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.49178603291511536},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.48798316717147827},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.47665053606033325},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4300358295440674},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4236266016960144},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4109245538711548},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3968330919742584},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18046382069587708},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07138830423355103}],"concepts":[{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5594750046730042},{"id":"https://openalex.org/C18555067","wikidata":"https://www.wikidata.org/wiki/Q8375051","display_name":"Joint (building)","level":2,"score":0.5180997252464294},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5170093774795532},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5084449052810669},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.49178603291511536},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.48798316717147827},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.47665053606033325},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4300358295440674},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4236266016960144},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4109245538711548},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3968330919742584},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18046382069587708},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07138830423355103},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/icassp.2009.4960326","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2009.4960326","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Acoustics, Speech and Signal Processing","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.165.9271","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.165.9271","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.kyb.tuebingen.mpg.de/publications/attachments/ICASSP2009-Shen_%5B0%5D.pdf","raw_type":"text"},{"id":"pmh:oai:edoc.mpg.de:461817","is_oa":false,"landing_page_url":"http://edoc.mpg.de/461817","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the 34th International Conference on Acoustics, Speech, and Signal Processing (ICASSP09), 3285-3288 (2009)","raw_type":"Conference-Paper"},{"id":"pmh:oai:mediatum.ub.tum.de:node/979757","is_oa":true,"landing_page_url":"http://mediatum.ub.tum.de/node?id=979757","pdf_url":null,"source":{"id":"https://openalex.org/S4306400453","display_name":"mediaTUM \u2013 the media and publications repository of the Technical University Munich (Technical University Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},{"id":"pmh:oai:pure.mpg.de:item_1789410","is_oa":true,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-0013-C53D-A","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2009 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2009)","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:mediatum.ub.tum.de:node/979757","is_oa":true,"landing_page_url":"http://mediatum.ub.tum.de/node?id=979757","pdf_url":null,"source":{"id":"https://openalex.org/S4306400453","display_name":"mediaTUM \u2013 the media and publications repository of the Technical University Munich (Technical University Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1523185733","https://openalex.org/W1548802052","https://openalex.org/W1655953671","https://openalex.org/W1989581163","https://openalex.org/W2019543362","https://openalex.org/W2066925202","https://openalex.org/W2095950579","https://openalex.org/W2099741732","https://openalex.org/W2114493976","https://openalex.org/W2125550523","https://openalex.org/W2151034540","https://openalex.org/W2158218920","https://openalex.org/W4253314971"],"related_works":["https://openalex.org/W1996130883","https://openalex.org/W2748574964","https://openalex.org/W2372403409","https://openalex.org/W4242726756","https://openalex.org/W2367747139","https://openalex.org/W4391102217","https://openalex.org/W2566187525","https://openalex.org/W2888483922","https://openalex.org/W2058749041","https://openalex.org/W1680650040"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"study":[4],"the":[5,36,41,45,50,55,64,70],"problem":[6],"of":[7,11,14,23,83],"non-orthogonal":[8,37,66,96],"joint":[9,38,67,79,97],"diagonalisation":[10,68],"a":[12,78],"set":[13],"real":[15],"symmetric":[16],"matrices":[17],"via":[18],"simultaneous":[19],"conjugation.":[20],"A":[21],"family":[22],"block":[24],"Jacobi-type":[25],"methods":[26,72,85],"are":[27],"proposed":[28,71],"to":[29,77],"optimise":[30],"two":[31],"popular":[32],"cost":[33],"functions":[34],"for":[35,91],"diagonalisation,":[39],"namely,":[40],"off-norm":[42],"function":[43],"and":[44,94],"log-likelihood":[46],"function.":[47],"By":[48],"exploiting":[49],"appropriate":[51],"underlying":[52],"manifold,":[53,58],"namely":[54],"so-called":[56],"oblique":[57],"rigorous":[59],"analysis":[60],"shows":[61],"that,":[62],"under":[63],"exact":[65,93],"setting,":[69],"converge":[73],"locally":[74],"quadratically":[75],"fast":[76],"diagonaliser.":[80],"Finally,":[81],"performance":[82],"our":[84],"is":[86],"investigated":[87],"by":[88],"numerical":[89],"experiments":[90],"both":[92],"approximate":[95],"diagonalisation.":[98]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
