{"id":"https://openalex.org/W2137683268","doi":"https://doi.org/10.1080/00207160701338769","title":"A note on identifying generalized diagonally dominant matrices","display_name":"A note on identifying generalized diagonally dominant matrices","publication_year":2007,"publication_date":"2007-11-22","ids":{"openalex":"https://openalex.org/W2137683268","doi":"https://doi.org/10.1080/00207160701338769","mag":"2137683268"},"language":"en","primary_location":{"id":"doi:10.1080/00207160701338769","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160701338769","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5100734597","display_name":"Ke Wang","orcid":"https://orcid.org/0000-0001-8561-5132"},"institutions":[{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ke Wang","raw_affiliation_strings":["Department of Mathematics, East China Normal University, Shanghai, PR China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, East China Normal University, Shanghai, PR China#TAB#","institution_ids":["https://openalex.org/I66867065"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047731385","display_name":"Chuanhua You","orcid":null},"institutions":[{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chuanhua You","raw_affiliation_strings":["School of Mathematics and Statistics Lanzhou University  Lanzhou PR China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics Lanzhou University  Lanzhou PR China","institution_ids":["https://openalex.org/I76214153"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100734597"],"corresponding_institution_ids":["https://openalex.org/I66867065"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.15958384,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"84","issue":"12","first_page":"1863","last_page":"1870"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9898999929428101,"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":0.9898999929428101,"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/diagonally-dominant-matrix","display_name":"Diagonally dominant matrix","score":0.8705153465270996},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7912276387214661},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5211034417152405},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.4973924458026886},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4858707785606384},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4408566355705261},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4401545822620392},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.43806716799736023},{"id":"https://openalex.org/keywords/diagonal-matrix","display_name":"Diagonal matrix","score":0.41731417179107666},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.40385428071022034},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.34668344259262085},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.26774758100509644},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.2164461612701416},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13842013478279114}],"concepts":[{"id":"https://openalex.org/C84507854","wikidata":"https://www.wikidata.org/wiki/Q952222","display_name":"Diagonally dominant matrix","level":3,"score":0.8705153465270996},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7912276387214661},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5211034417152405},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.4973924458026886},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4858707785606384},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4408566355705261},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4401545822620392},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.43806716799736023},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.41731417179107666},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.40385428071022034},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.34668344259262085},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26774758100509644},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.2164461612701416},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13842013478279114},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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":2,"locations":[{"id":"doi:10.1080/00207160701338769","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160701338769","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:ir.lzu.edu.cn/:262010/117970","is_oa":false,"landing_page_url":"http://ir.lzu.edu.cn/handle/262010/117970","pdf_url":null,"source":{"id":"https://openalex.org/S4406923049","display_name":"Lanzhou University Institutional Repository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1500921805","https://openalex.org/W1511572470","https://openalex.org/W1976250385","https://openalex.org/W1980848665","https://openalex.org/W2006008787","https://openalex.org/W2026634223","https://openalex.org/W2027242217","https://openalex.org/W2059575218","https://openalex.org/W2071491310","https://openalex.org/W2072062192","https://openalex.org/W2090963365","https://openalex.org/W2294006238","https://openalex.org/W2478091498","https://openalex.org/W4205186472","https://openalex.org/W4206307023","https://openalex.org/W4297926604"],"related_works":["https://openalex.org/W2136336099","https://openalex.org/W2550293690","https://openalex.org/W2070323717","https://openalex.org/W2034395027","https://openalex.org/W3157489721","https://openalex.org/W2028994362","https://openalex.org/W38983538","https://openalex.org/W2924468784","https://openalex.org/W2034598826","https://openalex.org/W1529195008"],"abstract_inverted_index":{"A":[0],"successive":[1],"method":[2],"of":[3,39],"descending":[4],"degree":[5],"has":[6],"been":[7],"presented":[8],"by":[9],"Guo,":[10],"Liu":[11],"and":[12,35],"Jia":[13],"in":[14],"2002":[15],"to":[16,48],"judge":[17],"whether":[18],"or":[19],"not":[20],"a":[21,24],"matrix":[22],"is":[23],"generalized":[25],"diagonally":[26],"dominant":[27],"matrix.":[28],"In":[29],"this":[30],"paper,":[31],"an":[32],"alternative":[33],"approach":[34],"comments":[36],"on":[37],"one":[38],"their":[40],"examples":[41,45],"are":[42,46],"provided.":[43],"Numerical":[44],"given":[47],"illustrate":[49],"the":[50],"algorithm":[51],"processing.":[52]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}