{"id":"https://openalex.org/W2037049667","doi":"https://doi.org/10.1007/s10589-013-9617-9","title":"Properties and methods for finding the best rank-one approximation to higher-order tensors","display_name":"Properties and methods for finding the best rank-one approximation to higher-order tensors","publication_year":2013,"publication_date":"2013-11-04","ids":{"openalex":"https://openalex.org/W2037049667","doi":"https://doi.org/10.1007/s10589-013-9617-9","mag":"2037049667"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-013-9617-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-013-9617-9","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization 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/A5068922983","display_name":"Yuning Yang","orcid":"https://orcid.org/0000-0003-1805-4210"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Yuning Yang","raw_affiliation_strings":["Department of Electronic Engineering, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, 3001, Leuven, Belgium","[Department of Electronic Engineering, Katholieke Universiteit Leuven, Leuven, Belgium]"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, 3001, Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"[Department of Electronic Engineering, Katholieke Universiteit Leuven, Leuven, Belgium]","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102101554","display_name":"Qingzhi Yang","orcid":"https://orcid.org/0000-0002-4806-7605"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingzhi Yang","raw_affiliation_strings":["School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, P.R. China","Nankai University"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, P.R. China","institution_ids":["https://openalex.org/I205237279"]},{"raw_affiliation_string":"Nankai University","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011886900","display_name":"Liqun Qi","orcid":"https://orcid.org/0000-0002-1112-5250"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Liqun Qi","raw_affiliation_strings":["Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, P.R. China","Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, P.R. China;#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, P.R. China","institution_ids":["https://openalex.org/I14243506"]},{"raw_affiliation_string":"Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, P.R. China;#TAB#","institution_ids":["https://openalex.org/I14243506"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5068922983"],"corresponding_institution_ids":["https://openalex.org/I99464096"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.2433,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.54065934,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"58","issue":"1","first_page":"105","last_page":"132"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":1.0,"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":1.0,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9941999912261963,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9868999719619751,"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/mathematics","display_name":"Mathematics","score":0.817500114440918},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.5861907005310059},{"id":"https://openalex.org/keywords/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.5514201521873474},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5433548092842102},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.5316004753112793},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4983804225921631},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.4972887337207794},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4932631850242615},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4365319609642029},{"id":"https://openalex.org/keywords/strong-duality","display_name":"Strong duality","score":0.4361325204372406},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4302205443382263},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.42055776715278625},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4130248427391052},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1576615869998932},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12926319241523743}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.817500114440918},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.5861907005310059},{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.5514201521873474},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5433548092842102},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.5316004753112793},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4983804225921631},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4972887337207794},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4932631850242615},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4365319609642029},{"id":"https://openalex.org/C163863214","wikidata":"https://www.wikidata.org/wiki/Q7624553","display_name":"Strong duality","level":3,"score":0.4361325204372406},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4302205443382263},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.42055776715278625},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4130248427391052},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1576615869998932},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12926319241523743},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10589-013-9617-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-013-9617-9","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:coopap:v:58:y:2014:i:1:p:105-132","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10589-013-9617-9","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/14112","is_oa":false,"landing_page_url":"http://hdl.handle.net/10397/14112","pdf_url":null,"source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal/Magazine Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323021","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W1736339626","https://openalex.org/W1969698720","https://openalex.org/W1971702983","https://openalex.org/W1976492279","https://openalex.org/W1979089199","https://openalex.org/W1981973750","https://openalex.org/W1991444795","https://openalex.org/W1999276385","https://openalex.org/W2000825868","https://openalex.org/W2007036852","https://openalex.org/W2009216547","https://openalex.org/W2018282388","https://openalex.org/W2020374088","https://openalex.org/W2020461703","https://openalex.org/W2024165284","https://openalex.org/W2024266080","https://openalex.org/W2027470314","https://openalex.org/W2057624533","https://openalex.org/W2069287942","https://openalex.org/W2070028074","https://openalex.org/W2076426934","https://openalex.org/W2079558799","https://openalex.org/W2081254453","https://openalex.org/W2082639035","https://openalex.org/W2088221456","https://openalex.org/W2090208105","https://openalex.org/W2090799283","https://openalex.org/W2090967418","https://openalex.org/W2095083915","https://openalex.org/W2095180325","https://openalex.org/W2113722075","https://openalex.org/W2118214857","https://openalex.org/W2118550318","https://openalex.org/W2126381689","https://openalex.org/W2130832427","https://openalex.org/W2164278908","https://openalex.org/W2167217202","https://openalex.org/W2402203281","https://openalex.org/W2611328865","https://openalex.org/W2787523326","https://openalex.org/W2963242183","https://openalex.org/W3098015574","https://openalex.org/W4241504821","https://openalex.org/W4250849069","https://openalex.org/W4292363360","https://openalex.org/W4300549156","https://openalex.org/W6601101894","https://openalex.org/W6601365666","https://openalex.org/W6762050013"],"related_works":["https://openalex.org/W3186516125","https://openalex.org/W2046866204","https://openalex.org/W2330046496","https://openalex.org/W2403050719","https://openalex.org/W1964626732","https://openalex.org/W2952841129","https://openalex.org/W3111265261","https://openalex.org/W2172478086","https://openalex.org/W1972790638","https://openalex.org/W2017727320"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
