{"id":"https://openalex.org/W1976250385","doi":"https://doi.org/10.1080/00207160211294","title":"A Method for Judging Generalized Diagonally Dominant Matrix","display_name":"A Method for Judging Generalized Diagonally Dominant Matrix","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W1976250385","doi":"https://doi.org/10.1080/00207160211294","mag":"1976250385"},"language":"en","primary_location":{"id":"doi:10.1080/00207160211294","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160211294","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/A5072836088","display_name":"Xijuan Guo","orcid":"https://orcid.org/0000-0002-2816-5849"},"institutions":[{"id":"https://openalex.org/I39333907","display_name":"Yanshan University","ror":"https://ror.org/02txfnf15","country_code":"CN","type":"education","lineage":["https://openalex.org/I39333907"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xijuan Guo","raw_affiliation_strings":["YanShan university , Qinhuangdao, 066004","Yanshan University, Qinhuangdao 066004 )"],"affiliations":[{"raw_affiliation_string":"YanShan university , Qinhuangdao, 066004","institution_ids":["https://openalex.org/I39333907"]},{"raw_affiliation_string":"Yanshan University, Qinhuangdao 066004 )","institution_ids":["https://openalex.org/I39333907"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075378610","display_name":"Zhongxiao Jia","orcid":"https://orcid.org/0000-0001-9761-8517"},"institutions":[{"id":"https://openalex.org/I39333907","display_name":"Yanshan University","ror":"https://ror.org/02txfnf15","country_code":"CN","type":"education","lineage":["https://openalex.org/I39333907"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhihua Liu Chao Jia","raw_affiliation_strings":["YanShan university , Qinhuangdao, 066004","Yanshan University, Qinhuangdao 066004 )"],"affiliations":[{"raw_affiliation_string":"YanShan university , Qinhuangdao, 066004","institution_ids":["https://openalex.org/I39333907"]},{"raw_affiliation_string":"Yanshan University, Qinhuangdao 066004 )","institution_ids":["https://openalex.org/I39333907"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101773594","display_name":"Chao Jia","orcid":"https://orcid.org/0000-0001-8706-0935"},"institutions":[{"id":"https://openalex.org/I39333907","display_name":"Yanshan University","ror":"https://ror.org/02txfnf15","country_code":"CN","type":"education","lineage":["https://openalex.org/I39333907"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chao Jia","raw_affiliation_strings":["YanShan university , Qinhuangdao, 066004","Yanshan University, Qinhuangdao 066004 )"],"affiliations":[{"raw_affiliation_string":"YanShan university , Qinhuangdao, 066004","institution_ids":["https://openalex.org/I39333907"]},{"raw_affiliation_string":"Yanshan University, Qinhuangdao 066004 )","institution_ids":["https://openalex.org/I39333907"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5072836088"],"corresponding_institution_ids":["https://openalex.org/I39333907"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.10388464,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"79","issue":"7","first_page":"841","last_page":"848"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9718000292778015,"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":0.9718000292778015,"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":0.9657999873161316,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/diagonally-dominant-matrix","display_name":"Diagonally dominant matrix","score":0.8509082794189453},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7812085151672363},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5904905200004578},{"id":"https://openalex.org/keywords/band-matrix","display_name":"Band matrix","score":0.5553596019744873},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.533078670501709},{"id":"https://openalex.org/keywords/m-matrix","display_name":"M-matrix","score":0.49308010935783386},{"id":"https://openalex.org/keywords/block-matrix","display_name":"Block matrix","score":0.43346476554870605},{"id":"https://openalex.org/keywords/matrix-splitting","display_name":"Matrix splitting","score":0.43170326948165894},{"id":"https://openalex.org/keywords/diagonal-matrix","display_name":"Diagonal matrix","score":0.4192239046096802},{"id":"https://openalex.org/keywords/single-entry-matrix","display_name":"Single-entry matrix","score":0.41697007417678833},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4162459671497345},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.411903977394104},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.3940267562866211},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39304280281066895},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38162437081336975},{"id":"https://openalex.org/keywords/matrix-function","display_name":"Matrix function","score":0.38042309880256653},{"id":"https://openalex.org/keywords/square-matrix","display_name":"Square matrix","score":0.3557749092578888},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.337412029504776},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3257383704185486},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.18253064155578613},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12109613418579102},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11400154232978821},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.08675357699394226}],"concepts":[{"id":"https://openalex.org/C84507854","wikidata":"https://www.wikidata.org/wiki/Q952222","display_name":"Diagonally dominant matrix","level":3,"score":0.8509082794189453},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7812085151672363},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5904905200004578},{"id":"https://openalex.org/C33343441","wikidata":"https://www.wikidata.org/wiki/Q806350","display_name":"Band matrix","level":5,"score":0.5553596019744873},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.533078670501709},{"id":"https://openalex.org/C61987429","wikidata":"https://www.wikidata.org/wiki/Q3064355","display_name":"M-matrix","level":3,"score":0.49308010935783386},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.43346476554870605},{"id":"https://openalex.org/C133589720","wikidata":"https://www.wikidata.org/wiki/Q6787891","display_name":"Matrix splitting","level":5,"score":0.43170326948165894},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.4192239046096802},{"id":"https://openalex.org/C1678238","wikidata":"https://www.wikidata.org/wiki/Q6787895","display_name":"Single-entry matrix","level":5,"score":0.41697007417678833},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4162459671497345},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.411903977394104},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.3940267562866211},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39304280281066895},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38162437081336975},{"id":"https://openalex.org/C4263655","wikidata":"https://www.wikidata.org/wiki/Q2699958","display_name":"Matrix function","level":4,"score":0.38042309880256653},{"id":"https://openalex.org/C69044650","wikidata":"https://www.wikidata.org/wiki/Q2739329","display_name":"Square matrix","level":4,"score":0.3557749092578888},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.337412029504776},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3257383704185486},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.18253064155578613},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12109613418579102},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11400154232978821},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.08675357699394226},{"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/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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160211294","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160211294","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W2083440647"],"related_works":["https://openalex.org/W2015277714","https://openalex.org/W2165687232","https://openalex.org/W2386542154","https://openalex.org/W2134108278","https://openalex.org/W4238100916","https://openalex.org/W2355302579","https://openalex.org/W2156341103","https://openalex.org/W2360264057","https://openalex.org/W1501145962","https://openalex.org/W4297786413"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"present":[4],"an":[5,25],"effective":[6],"and":[7,27,33],"new":[8],"method":[9],"to":[10],"judge":[11],"if":[12],"a":[13,19],"n":[14,16],"2":[15],"matrix":[17,23],"is":[18],"generalized":[20],"diagonally":[21],"dominant":[22],"or":[24],"M-matrix":[26],"have":[28],"studied":[29],"its":[30],"parallel":[31],"algorithm":[32],"realization":[34],"problem.":[35]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}