{"id":"https://openalex.org/W4407385451","doi":"https://doi.org/10.1145/3717582.3717587","title":"Conditions for Eigenvalue Configurations of Two Real Symmetric Matrices","display_name":"Conditions for Eigenvalue Configurations of Two Real Symmetric Matrices","publication_year":2024,"publication_date":"2024-09-01","ids":{"openalex":"https://openalex.org/W4407385451","doi":"https://doi.org/10.1145/3717582.3717587"},"language":"en","primary_location":{"id":"doi:10.1145/3717582.3717587","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3717582.3717587","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","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/A5102050300","display_name":"Hoon Hong","orcid":"https://orcid.org/0000-0002-3735-7199"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Hoon Hong","raw_affiliation_strings":["Department of Mathematics, North Carolina State University, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, North Carolina State University, USA","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019780305","display_name":"Daniel Profili","orcid":null},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Profili","raw_affiliation_strings":["Department of Mathematics, North Carolina State University, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, North Carolina State University, USA","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073162772","display_name":"J. Rafael Sendra","orcid":"https://orcid.org/0000-0003-2568-1159"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. Rafael Sendra","raw_affiliation_strings":["Department of Quantitative Methods, CUNEF-University, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Quantitative Methods, CUNEF-University, Spain","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102050300"],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.31382098,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"58","issue":"3","first_page":"72","last_page":"76"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9962999820709229,"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":0.9962999820709229,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9469000101089478,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9419000148773193,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7487121820449829},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4937184751033783},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3411242961883545},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3335912227630615},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3205391764640808},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20857757329940796},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0886370837688446}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7487121820449829},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4937184751033783},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3411242961883545},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3335912227630615},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3205391764640808},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20857757329940796},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0886370837688446}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3717582.3717587","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3717582.3717587","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1570787829","https://openalex.org/W1813686459","https://openalex.org/W2006918089","https://openalex.org/W2007074311","https://openalex.org/W2066463410","https://openalex.org/W2134984950","https://openalex.org/W4298290503"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2088932963"],"abstract_inverted_index":{"In":[0],"this":[1],"extended":[2],"abstract,":[3],"we":[4,49],"describe":[5],"recent":[6],"progress":[7],"on":[8,69,88],"finding":[9],"conditions":[10],"for":[11],"eigenvalue":[12],"configurations":[13],"of":[14,57,61,67,80,91,108],"two":[15,59,65],"real":[16,35,71],"symmetric":[17,36],"matrices.":[18,37],"To":[19],"illustrate":[20],"the":[21,39,52,58,64,70,89,97,100,109],"problem,":[22,110],"consider":[23,51],"a":[24,77,85,104],"simple":[25,86],"example.":[26],"Let":[27],"F":[28,62,92],"and":[29,63,93],"G":[30,68,94],"be":[31],"2":[32,34],"\u00d7":[33],"Since":[38],"matrices":[40],"are":[41,45],"symmetric,":[42],"their":[43],"eigenvalues":[44,60,66,98],"all":[46],"real.":[47],"Thus":[48],"may":[50],"configuration":[53,79],"(relative":[54],"locations":[55],"of)":[56],"line.":[72],"The":[73],"problem":[74],"is,":[75],"given":[76,101],"certain":[78],"those":[81],"eigenvalues,":[82],"to":[83],"find":[84],"condition":[87],"entries":[90],"so":[95],"that":[96],"satisfy":[99],"configuration.":[102],"For":[103],"more":[105],"precise":[106],"statement":[107],"see":[111],"Section":[112],"1.":[113]},"counts_by_year":[],"updated_date":"2025-12-28T23:10:05.387466","created_date":"2025-10-10T00:00:00"}
