乐胖代购免代理版

{"id":"https://openalex.org/W2024166170","doi":"https://doi.org/10.1137/040608830","title":"A Link between the Canonical Decomposition in Multilinear Algebra and Simultaneous Matrix Diagonalization","display_name":"A Link between the Canonical Decomposition in Multilinear Algebra and Simultaneous Matrix Diagonalization","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2024166170","doi":"https://doi.org/10.1137/040608830","mag":"2024166170"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/040608830","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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5009006026","display_name":"Lieven De Lathauwer","orcid":"https://orcid.org/0000-0001-5562-5014"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Lieven De Lathauwer","raw_affiliation_strings":[],"affiliations":[]}],"institution_assertions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5009006026"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":9.536,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":421,"citation_normalized_percentile":{"value":0.967742,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"28","issue":"3","first_page":"642","last_page":"666"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9998,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational 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/T12303","display_name":"Tensor decomposition and applications","score":0.9998,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational 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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9959,"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"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9855,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multilinear-algebra","display_name":"Multilinear Algebra","score":0.717501},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.55264723},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.48994607},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.4878409},{"id":"https://openalex.org/keywords/tensor-algebra","display_name":"Tensor algebra","score":0.43900785},{"id":"https://openalex.org/keywords/linear-algebra","display_name":"Linear algebra","score":0.42830324}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.86795413},{"id":"https://openalex.org/C60321788","wikidata":"https://www.wikidata.org/wiki/Q1197190","display_name":"Multilinear algebra","level":5,"score":0.717501},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.66237813},{"id":"https://openalex.org/C84392682","wikidata":"https://www.wikidata.org/wiki/Q1952404","display_name":"Multilinear map","level":2,"score":0.65150946},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.55264723},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5239789},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.48994607},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.4878409},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.4807265},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.46807703},{"id":"https://openalex.org/C1680195","wikidata":"https://www.wikidata.org/wiki/Q2296021","display_name":"Tensor algebra","level":5,"score":0.43900785},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.43207744},{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.42830324},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39384916},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.25015587},{"id":"https://openalex.org/C100376341","wikidata":"https://www.wikidata.org/wiki/Q649977","display_name":"Jordan algebra","level":4,"score":0.23231557},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.15613854},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0994176},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/040608830","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":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":42,"referenced_works":["https://openalex.org/W1548802052","https://openalex.org/W1978376511","https://openalex.org/W1978632288","https://openalex.org/W1980428773","https://openalex.org/W1981745143","https://openalex.org/W1986326495","https://openalex.org/W1989581163","https://openalex.org/W2000215628","https://openalex.org/W2002598080","https://openalex.org/W2018282388","https://openalex.org/W2020062309","https://openalex.org/W2033154334","https://openalex.org/W2057503509","https://openalex.org/W2073469810","https://openalex.org/W2078789945","https://openalex.org/W2081106919","https://openalex.org/W2084681714","https://openalex.org/W2089079408","https://openalex.org/W2090799283","https://openalex.org/W2095887647","https://openalex.org/W2099741732","https://openalex.org/W2101641981","https://openalex.org/W2102596683","https://openalex.org/W2105186495","https://openalex.org/W2114493976","https://openalex.org/W2119741678","https://openalex.org/W2121739212","https://openalex.org/W2124195644","https://openalex.org/W2124757684","https://openalex.org/W2136023375","https://openalex.org/W2136210023","https://openalex.org/W2138996475","https://openalex.org/W2142638745","https://openalex.org/W2147243899","https://openalex.org/W2150059498","https://openalex.org/W2156982859","https://openalex.org/W2158218920","https://openalex.org/W2158456262","https://openalex.org/W2170668800","https://openalex.org/W2539982008","https://openalex.org/W2915098601","https://openalex.org/W2977618319"],"related_works":["https://openalex.org/W4235893778","https://openalex.org/W3189506985","https://openalex.org/W3169240678","https://openalex.org/W2946637708","https://openalex.org/W2901391673","https://openalex.org/W2405717268","https://openalex.org/W2242909499","https://openalex.org/W2113055885","https://openalex.org/W2100779717","https://openalex.org/W2096692604"],"abstract_inverted_index":{"Canonical":[0],"decomposition":[1,15],"is":[2,26,46],"a":[3,34,58,65],"key":[4],"concept":[5],"in":[6],"multilinear":[7],"algebra.":[8],"In":[9],"this":[10],"paper":[11],"we":[12,72],"consider":[13],"the":[14,21,24,29,51,69],"of":[16],"higher\u2010order":[17],"tensors":[18],"which":[19],"have":[20],"property":[22],"that":[23,50,78],"rank":[25],"smaller":[27],"than":[28],"greatest":[30],"dimension.":[31],"We":[32],"derive":[33,73],"new":[35,66],"and":[36],"relatively":[37],"weak":[38],"deterministic":[39,70],"sufficient":[40],"condition":[41,71,77],"for":[42],"uniqueness.":[43,81],"The":[44],"proof":[45],"constructive.":[47],"It":[48],"shows":[49],"canonical":[52],"components":[53],"can":[54],"be":[55],"obtained":[56],"from":[57],"simultaneous":[59],"matrix":[60],"diagonalization":[61],"by":[62],"congruence,":[63],"yielding":[64],"algorithm.":[67],"From":[68],"an":[74],"easy\u2010to\u2010check":[75],"dimensionality":[76],"guarantees":[79],"generic":[80]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2024166170","counts_by_year":[{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":20},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":24},{"year":2019,"cited_by_count":19},{"year":2018,"cited_by_count":16},{"year":2017,"cited_by_count":24},{"year":2016,"cited_by_count":37},{"year":2015,"cited_by_count":24},{"year":2014,"cited_by_count":28},{"year":2013,"cited_by_count":40},{"year":2012,"cited_by_count":21}],"updated_date":"2025-01-03T06:50:13.279784","created_date":"2016-06-24"}