{"id":"https://openalex.org/W7115181972","doi":"https://doi.org/10.1007/s40314-025-03554-8","title":"Dual core generalized inverse and related dual partial orders","display_name":"Dual core generalized inverse and related dual partial orders","publication_year":2025,"publication_date":"2025-12-15","ids":{"openalex":"https://openalex.org/W7115181972","doi":"https://doi.org/10.1007/s40314-025-03554-8"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-025-03554-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-025-03554-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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 and Applied 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":null,"display_name":"Congcong Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I150807315","display_name":"Guangxi University","ror":"https://ror.org/02c9qn167","country_code":"CN","type":"education","lineage":["https://openalex.org/I150807315"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Congcong Wang","raw_affiliation_strings":["College of Mathematics and Information Science, Guangxi University, Nanning, 530004, Guangxi, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Guangxi University, Nanning, 530004, Guangxi, China","institution_ids":["https://openalex.org/I150807315"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Xiaoji Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210151929","display_name":"Nanning Normal University","ror":"https://ror.org/04dx82x73","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210151929"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoji Liu","raw_affiliation_strings":["School of Education, Guangxi Vocational Normal University, Nanning, 530007, Guangxi, China"],"affiliations":[{"raw_affiliation_string":"School of Education, Guangxi Vocational Normal University, Nanning, 530007, Guangxi, China","institution_ids":["https://openalex.org/I4210151929"]}]},{"author_position":"last","author":{"id":null,"display_name":"Yuning Yang","orcid":"https://orcid.org/0000-0003-1805-4210"},"institutions":[{"id":"https://openalex.org/I150807315","display_name":"Guangxi University","ror":"https://ror.org/02c9qn167","country_code":"CN","type":"education","lineage":["https://openalex.org/I150807315"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuning Yang","raw_affiliation_strings":["College of Mathematics and Information Science, Guangxi University, Nanning, 530004, Guangxi, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Guangxi University, Nanning, 530004, Guangxi, China","institution_ids":["https://openalex.org/I150807315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I150807315"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.69112314,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"45","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9528999924659729,"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":0.9528999924659729,"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/T13487","display_name":"Statistical and numerical algorithms","score":0.006899999920278788,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.006000000052154064,"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/dual","display_name":"Dual (grammatical number)","score":0.7251999974250793},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5260000228881836},{"id":"https://openalex.org/keywords/partial-derivative","display_name":"Partial derivative","score":0.49799999594688416},{"id":"https://openalex.org/keywords/core","display_name":"Core (optical fiber)","score":0.4564000070095062},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.43140000104904175},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4250999987125397},{"id":"https://openalex.org/keywords/generalized-inverse","display_name":"Generalized inverse","score":0.4165000021457672}],"concepts":[{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.7251999974250793},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5949000120162964},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5260000228881836},{"id":"https://openalex.org/C53846429","wikidata":"https://www.wikidata.org/wiki/Q186475","display_name":"Partial derivative","level":2,"score":0.49799999594688416},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.4564000070095062},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.43140000104904175},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4250999987125397},{"id":"https://openalex.org/C76134657","wikidata":"https://www.wikidata.org/wiki/Q370634","display_name":"Generalized inverse","level":3,"score":0.4165000021457672},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.38269999623298645},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.38019999861717224},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36390000581741333},{"id":"https://openalex.org/C182359184","wikidata":"https://www.wikidata.org/wiki/Q1756942","display_name":"Partial function","level":2,"score":0.3580000102519989},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.3276999890804291},{"id":"https://openalex.org/C77246614","wikidata":"https://www.wikidata.org/wiki/Q1409400","display_name":"Gramian matrix","level":3,"score":0.30480000376701355},{"id":"https://openalex.org/C21556879","wikidata":"https://www.wikidata.org/wiki/Q43219517","display_name":"Moore\u2013Penrose pseudoinverse","level":3,"score":0.2994000017642975},{"id":"https://openalex.org/C66103642","wikidata":"https://www.wikidata.org/wiki/Q431617","display_name":"Partial fraction decomposition","level":3,"score":0.2994000017642975},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2615000009536743},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.2590000033378601}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-025-03554-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-025-03554-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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 and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3630910242","display_name":null,"funder_award_id":"12171105","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W602087562","https://openalex.org/W1843791525","https://openalex.org/W1921647739","https://openalex.org/W1972689707","https://openalex.org/W2016206932","https://openalex.org/W2040040776","https://openalex.org/W2093032237","https://openalex.org/W2161862325","https://openalex.org/W2471807377","https://openalex.org/W2680300293","https://openalex.org/W2787900310","https://openalex.org/W3016468995","https://openalex.org/W3112547055","https://openalex.org/W3139391197","https://openalex.org/W4213002755","https://openalex.org/W4308844403","https://openalex.org/W4378472616","https://openalex.org/W4381665461","https://openalex.org/W4382404393","https://openalex.org/W4382749325","https://openalex.org/W4383424872","https://openalex.org/W4384913867","https://openalex.org/W4388002703","https://openalex.org/W4388233940","https://openalex.org/W4389788050","https://openalex.org/W4390084195","https://openalex.org/W4390576576","https://openalex.org/W4391744191","https://openalex.org/W4396806872","https://openalex.org/W4401172626","https://openalex.org/W4401482853","https://openalex.org/W4404923305","https://openalex.org/W4407309391","https://openalex.org/W4413193976","https://openalex.org/W4413764900"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-12-15T00:00:00"}