{"id":"https://openalex.org/W2513452557","doi":"https://doi.org/10.1007/s10589-016-9865-6","title":"Computing the generalized eigenvalues of weakly symmetric tensors","display_name":"Computing the generalized eigenvalues of weakly symmetric tensors","publication_year":2016,"publication_date":"2016-08-25","ids":{"openalex":"https://openalex.org/W2513452557","doi":"https://doi.org/10.1007/s10589-016-9865-6","mag":"2513452557"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-016-9865-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-016-9865-6","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/A5102016730","display_name":"Na Zhao","orcid":"https://orcid.org/0000-0002-7755-3637"},"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"]},{"id":"https://openalex.org/I4401200345","display_name":"Laboratoire de physique de la mati\u00e8re condens\u00e9e","ror":"https://ror.org/05brss208","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4401200345","https://openalex.org/I4647051"]}],"countries":["CN","FR"],"is_corresponding":true,"raw_author_name":"Na Zhao","raw_affiliation_strings":["School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, People\u2019s Republic of China","School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, People\u2019s Republic of China","institution_ids":["https://openalex.org/I205237279"]},{"raw_affiliation_string":"School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, People's Republic of China","institution_ids":["https://openalex.org/I205237279","https://openalex.org/I4401200345"]}]},{"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"]},{"id":"https://openalex.org/I4401200345","display_name":"Laboratoire de physique de la mati\u00e8re condens\u00e9e","ror":"https://ror.org/05brss208","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4401200345","https://openalex.org/I4647051"]}],"countries":["CN","FR"],"is_corresponding":false,"raw_author_name":"Qingzhi Yang","raw_affiliation_strings":["School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, People\u2019s Republic of China","School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, People\u2019s Republic of China","institution_ids":["https://openalex.org/I205237279"]},{"raw_affiliation_string":"School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, People's Republic of China","institution_ids":["https://openalex.org/I205237279","https://openalex.org/I4401200345"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100449867","display_name":"Yajun Liu","orcid":"https://orcid.org/0000-0001-5320-4187"},"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"]},{"id":"https://openalex.org/I4401200345","display_name":"Laboratoire de physique de la mati\u00e8re condens\u00e9e","ror":"https://ror.org/05brss208","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4401200345","https://openalex.org/I4647051"]}],"countries":["CN","FR"],"is_corresponding":false,"raw_author_name":"Yajun Liu","raw_affiliation_strings":["School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, People\u2019s Republic of China","School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, People\u2019s Republic of China","institution_ids":["https://openalex.org/I205237279"]},{"raw_affiliation_string":"School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, People's Republic of China","institution_ids":["https://openalex.org/I205237279","https://openalex.org/I4401200345"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102016730"],"corresponding_institution_ids":["https://openalex.org/I205237279","https://openalex.org/I4401200345"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.2932,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.49460709,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"66","issue":"2","first_page":"285","last_page":"307"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9807999730110168,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9462000131607056,"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":0.847119927406311},{"id":"https://openalex.org/keywords/multilinear-algebra","display_name":"Multilinear algebra","score":0.8301106691360474},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.8291002511978149},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.6713878512382507},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.6658115386962891},{"id":"https://openalex.org/keywords/symmetric-tensor","display_name":"Symmetric tensor","score":0.5471039414405823},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.5366093516349792},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4696708619594574},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46346747875213623},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.4456263780593872},{"id":"https://openalex.org/keywords/tensor-algebra","display_name":"Tensor algebra","score":0.4323316216468811},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3847692608833313},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3576321601867676},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.24959242343902588},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.19965490698814392},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1421937346458435},{"id":"https://openalex.org/keywords/dykstras-projection-algorithm","display_name":"Dykstra's projection algorithm","score":0.12545451521873474},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.12216925621032715},{"id":"https://openalex.org/keywords/jordan-algebra","display_name":"Jordan algebra","score":0.08638572692871094}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.847119927406311},{"id":"https://openalex.org/C60321788","wikidata":"https://www.wikidata.org/wiki/Q1197190","display_name":"Multilinear algebra","level":5,"score":0.8301106691360474},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8291002511978149},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.6713878512382507},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6658115386962891},{"id":"https://openalex.org/C20178491","wikidata":"https://www.wikidata.org/wiki/Q2204117","display_name":"Symmetric tensor","level":3,"score":0.5471039414405823},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.5366093516349792},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4696708619594574},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46346747875213623},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.4456263780593872},{"id":"https://openalex.org/C1680195","wikidata":"https://www.wikidata.org/wiki/Q2296021","display_name":"Tensor algebra","level":5,"score":0.4323316216468811},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3847692608833313},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3576321601867676},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.24959242343902588},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.19965490698814392},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1421937346458435},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.12545451521873474},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.12216925621032715},{"id":"https://openalex.org/C100376341","wikidata":"https://www.wikidata.org/wiki/Q649977","display_name":"Jordan algebra","level":4,"score":0.08638572692871094},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C81999800","wikidata":"https://www.wikidata.org/wiki/Q1454725","display_name":"Current algebra","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10589-016-9865-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-016-9865-6","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:66:y:2017:i:2:d:10.1007_s10589-016-9865-6","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10589-016-9865-6","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8196288182","display_name":null,"funder_award_id":"11271206","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W224542248","https://openalex.org/W1603765807","https://openalex.org/W1824940946","https://openalex.org/W1944315015","https://openalex.org/W1946620893","https://openalex.org/W1970563156","https://openalex.org/W1971702983","https://openalex.org/W1973734200","https://openalex.org/W1973991444","https://openalex.org/W1979172031","https://openalex.org/W1981973750","https://openalex.org/W1993529825","https://openalex.org/W1999536991","https://openalex.org/W2002598080","https://openalex.org/W2007036852","https://openalex.org/W2019819801","https://openalex.org/W2020374088","https://openalex.org/W2031621232","https://openalex.org/W2041197939","https://openalex.org/W2070028074","https://openalex.org/W2076605490","https://openalex.org/W2078337493","https://openalex.org/W2084288381","https://openalex.org/W2090208105","https://openalex.org/W2090799283","https://openalex.org/W2095083915","https://openalex.org/W2102790339","https://openalex.org/W2113722075","https://openalex.org/W2132347401","https://openalex.org/W2204118584","https://openalex.org/W2294557853","https://openalex.org/W2798766386","https://openalex.org/W3029645440","https://openalex.org/W3098015574","https://openalex.org/W3102774506","https://openalex.org/W3105081413","https://openalex.org/W3193292909","https://openalex.org/W4254090244","https://openalex.org/W4293775970"],"related_works":["https://openalex.org/W2204118584","https://openalex.org/W2069475683","https://openalex.org/W4247197812","https://openalex.org/W4298343018","https://openalex.org/W2201223056","https://openalex.org/W1993529825","https://openalex.org/W2235665432","https://openalex.org/W2963785028","https://openalex.org/W2953281724","https://openalex.org/W1591939495"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
