{"id":"https://openalex.org/W1942532907","doi":"https://doi.org/10.1007/s10589-015-9805-x","title":"Higher-degree eigenvalue complementarity problems for tensors","display_name":"Higher-degree eigenvalue complementarity problems for tensors","publication_year":2015,"publication_date":"2015-11-03","ids":{"openalex":"https://openalex.org/W1942532907","doi":"https://doi.org/10.1007/s10589-015-9805-x","mag":"1942532907"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-015-9805-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-015-9805-x","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/A5101911109","display_name":"Chen Ling","orcid":"https://orcid.org/0000-0001-9103-0501"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chen Ling","raw_affiliation_strings":["Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, 310018, China","Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, China 310018#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, 310018, China","institution_ids":["https://openalex.org/I50760025"]},{"raw_affiliation_string":"Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, China 310018#TAB#","institution_ids":["https://openalex.org/I50760025"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070555054","display_name":"Hongjin He","orcid":"https://orcid.org/0000-0001-7672-4943"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongjin He","raw_affiliation_strings":["Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, 310018, China","Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, China 310018#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, 310018, China","institution_ids":["https://openalex.org/I50760025"]},{"raw_affiliation_string":"Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, China 310018#TAB#","institution_ids":["https://openalex.org/I50760025"]}]},{"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, Hung Hom, Kowloon, Hong Kong","Department of Applied Mathematics, The Hong Kong Polytechnic University Hung Hom, Kowloon, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I14243506"]},{"raw_affiliation_string":"Department of Applied Mathematics, The Hong Kong Polytechnic University Hung Hom, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I14243506"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101911109"],"corresponding_institution_ids":["https://openalex.org/I50760025"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.6482,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.93116502,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"64","issue":"1","first_page":"149","last_page":"176"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9995999932289124,"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/T12303","display_name":"Tensor decomposition and applications","score":0.9995999932289124,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8179998397827148},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.8054710626602173},{"id":"https://openalex.org/keywords/complementarity-theory","display_name":"Complementarity theory","score":0.7779128551483154},{"id":"https://openalex.org/keywords/complementarity","display_name":"Complementarity (molecular biology)","score":0.7390720248222351},{"id":"https://openalex.org/keywords/invariants-of-tensors","display_name":"Invariants of tensors","score":0.6809071898460388},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6687231063842773},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5356680154800415},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.49522534012794495},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46901196241378784},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4353449046611786},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.4333413541316986},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.4257992208003998},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.29455533623695374},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1444888412952423},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.102450430393219},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08507499098777771}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8179998397827148},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8054710626602173},{"id":"https://openalex.org/C85404239","wikidata":"https://www.wikidata.org/wiki/Q5156417","display_name":"Complementarity theory","level":3,"score":0.7779128551483154},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.7390720248222351},{"id":"https://openalex.org/C158158286","wikidata":"https://www.wikidata.org/wiki/Q9009080","display_name":"Invariants of tensors","level":3,"score":0.6809071898460388},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6687231063842773},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5356680154800415},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.49522534012794495},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46901196241378784},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4353449046611786},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.4333413541316986},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.4257992208003998},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.29455533623695374},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1444888412952423},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.102450430393219},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08507499098777771},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10589-015-9805-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-015-9805-x","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:64:y:2016:i:1:d:10.1007_s10589-015-9805-x","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10589-015-9805-x","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:10397/62347","is_oa":false,"landing_page_url":"http://hdl.handle.net/10397/62347","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W91569589","https://openalex.org/W197492964","https://openalex.org/W199475994","https://openalex.org/W1483218536","https://openalex.org/W1527153354","https://openalex.org/W1555881074","https://openalex.org/W1559761527","https://openalex.org/W1602295990","https://openalex.org/W1897801518","https://openalex.org/W1958607180","https://openalex.org/W1967926151","https://openalex.org/W1970606629","https://openalex.org/W1971248969","https://openalex.org/W1971702983","https://openalex.org/W1979570165","https://openalex.org/W1981973750","https://openalex.org/W1983312722","https://openalex.org/W2001001204","https://openalex.org/W2020374088","https://openalex.org/W2024266080","https://openalex.org/W2029590768","https://openalex.org/W2041197939","https://openalex.org/W2041820190","https://openalex.org/W2045079045","https://openalex.org/W2051899091","https://openalex.org/W2052063827","https://openalex.org/W2053678650","https://openalex.org/W2057624533","https://openalex.org/W2058594431","https://openalex.org/W2059991078","https://openalex.org/W2065195435","https://openalex.org/W2075989445","https://openalex.org/W2078088766","https://openalex.org/W2082443028","https://openalex.org/W2086589508","https://openalex.org/W2090208105","https://openalex.org/W2113722075","https://openalex.org/W2149304740","https://openalex.org/W2164278908","https://openalex.org/W2244987555","https://openalex.org/W4249513058","https://openalex.org/W4285719527","https://openalex.org/W4292096448","https://openalex.org/W4292363360","https://openalex.org/W6600223405","https://openalex.org/W6605056232"],"related_works":["https://openalex.org/W3118260037","https://openalex.org/W2994515314","https://openalex.org/W4213410591","https://openalex.org/W68625828","https://openalex.org/W2950633216","https://openalex.org/W2886884779","https://openalex.org/W4285138912","https://openalex.org/W4214973013","https://openalex.org/W2794288744","https://openalex.org/W2789628482"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1}],"updated_date":"2026-03-28T08:17:26.163206","created_date":"2025-10-10T00:00:00"}
