{"id":"https://openalex.org/W2979870126","doi":"https://doi.org/10.1007/s11075-019-00803-w","title":"An efficient method for computing the outer inverse $A_{T,S}^{(2)}$ through Gauss-Jordan elimination","display_name":"An efficient method for computing the outer inverse $A_{T,S}^{(2)}$ through Gauss-Jordan elimination","publication_year":2019,"publication_date":"2019-10-10","ids":{"openalex":"https://openalex.org/W2979870126","doi":"https://doi.org/10.1007/s11075-019-00803-w","mag":"2979870126"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-019-00803-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-019-00803-w","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5101627947","display_name":"Ma Jie","orcid":"https://orcid.org/0000-0001-6594-7973"},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]},{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jie Ma","raw_affiliation_strings":["Faculty of Geosciences and Environmental Engineering, Southwest Jiaotong University, Chengdu, China","School of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0001-6594-7973","affiliations":[{"raw_affiliation_string":"Faculty of Geosciences and Environmental Engineering, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]},{"raw_affiliation_string":"School of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, China","institution_ids":["https://openalex.org/I204831749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055215536","display_name":"Feng Gao","orcid":null},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feng Gao","raw_affiliation_strings":["School of Statistics, Southwestern University of Finance and Economics, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Statistics, Southwestern University of Finance and Economics, Chengdu, China","institution_ids":["https://openalex.org/I204831749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101648125","display_name":"LI Yong-shu","orcid":null},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongshu Li","raw_affiliation_strings":["Faculty of Geosciences and Environmental Engineering, Southwest Jiaotong University, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Geosciences and Environmental Engineering, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101627947"],"corresponding_institution_ids":["https://openalex.org/I204831749","https://openalex.org/I4800084"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.3552,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.63946084,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"85","issue":"1","first_page":"77","last_page":"106"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9968000054359436,"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":0.9968000054359436,"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9732000231742859,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied 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/T11416","display_name":"Numerical methods for differential equations","score":0.9666000008583069,"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/gaussian-elimination","display_name":"Gaussian elimination","score":0.7705986499786377},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7019545435905457},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.6969677805900574},{"id":"https://openalex.org/keywords/gauss","display_name":"Gauss","score":0.6623917818069458},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6451873779296875},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6050029993057251},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.6014810800552368},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5715755820274353},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5245604515075684},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5063532590866089},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.46174317598342896},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.4356037378311157},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4014151096343994},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3741265833377838},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3725636303424835},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2135491669178009},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17756494879722595},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12295922636985779},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1000414490699768},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.09071475267410278},{"id":"https://openalex.org/keywords/computational-chemistry","display_name":"Computational chemistry","score":0.08694544434547424},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.059514641761779785}],"concepts":[{"id":"https://openalex.org/C126312332","wikidata":"https://www.wikidata.org/wiki/Q2658","display_name":"Gaussian elimination","level":3,"score":0.7705986499786377},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7019545435905457},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.6969677805900574},{"id":"https://openalex.org/C161794534","wikidata":"https://www.wikidata.org/wiki/Q177493","display_name":"Gauss","level":2,"score":0.6623917818069458},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6451873779296875},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6050029993057251},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6014810800552368},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5715755820274353},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5245604515075684},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5063532590866089},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.46174317598342896},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.4356037378311157},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4014151096343994},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3741265833377838},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3725636303424835},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2135491669178009},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17756494879722595},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12295922636985779},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1000414490699768},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.09071475267410278},{"id":"https://openalex.org/C147597530","wikidata":"https://www.wikidata.org/wiki/Q369472","display_name":"Computational chemistry","level":1,"score":0.08694544434547424},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.059514641761779785},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-019-00803-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-019-00803-w","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G354006299","display_name":null,"funder_award_id":"JBK1901028","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W103152103","https://openalex.org/W1964479469","https://openalex.org/W1968300345","https://openalex.org/W1968323328","https://openalex.org/W1969729846","https://openalex.org/W1975062715","https://openalex.org/W1977771879","https://openalex.org/W1991717161","https://openalex.org/W1999677180","https://openalex.org/W2001619681","https://openalex.org/W2003137566","https://openalex.org/W2005160838","https://openalex.org/W2013066794","https://openalex.org/W2018142726","https://openalex.org/W2034879287","https://openalex.org/W2053973332","https://openalex.org/W2055576996","https://openalex.org/W2060829850","https://openalex.org/W2064422183","https://openalex.org/W2080967125","https://openalex.org/W2081608588","https://openalex.org/W2091889419","https://openalex.org/W2131440585","https://openalex.org/W2168181327"],"related_works":["https://openalex.org/W3196977684","https://openalex.org/W1691872992","https://openalex.org/W2916688132","https://openalex.org/W2057999675","https://openalex.org/W2091863235","https://openalex.org/W2408314646","https://openalex.org/W2478632311","https://openalex.org/W3047814705","https://openalex.org/W4319599892","https://openalex.org/W3091599299"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}