{"id":"https://openalex.org/W7155098185","doi":"https://doi.org/10.1007/s40314-026-03739-9","title":"Characteristics and perturbation analysis for the core inverse of tensors over the quaternion skew field","display_name":"Characteristics and perturbation analysis for the core inverse of tensors over the quaternion skew field","publication_year":2026,"publication_date":"2026-04-21","ids":{"openalex":"https://openalex.org/W7155098185","doi":"https://doi.org/10.1007/s40314-026-03739-9"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-026-03739-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-026-03739-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","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":"https://openalex.org/A5134168717","display_name":"Ning Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I134052481","display_name":"Harbin Normal University","ror":"https://ror.org/0270y6950","country_code":"CN","type":"education","lineage":["https://openalex.org/I134052481"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ning Zhang","raw_affiliation_strings":["School of Mathematical Science, Harbin Normal University, Harbin, 150025, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Harbin Normal University, Harbin, 150025, People\u2019s Republic of China","institution_ids":["https://openalex.org/I134052481"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5134151392","display_name":"Tianjuan Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I134052481","display_name":"Harbin Normal University","ror":"https://ror.org/0270y6950","country_code":"CN","type":"education","lineage":["https://openalex.org/I134052481"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tianjuan Wu","raw_affiliation_strings":["School of Mathematical Science, Harbin Normal University, Harbin, 150025, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Harbin Normal University, Harbin, 150025, People\u2019s Republic of China","institution_ids":["https://openalex.org/I134052481"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5134204636","display_name":"Haifeng Ma","orcid":"https://orcid.org/0000-0003-4920-3370"},"institutions":[{"id":"https://openalex.org/I134052481","display_name":"Harbin Normal University","ror":"https://ror.org/0270y6950","country_code":"CN","type":"education","lineage":["https://openalex.org/I134052481"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Haifeng Ma","raw_affiliation_strings":["School of Mathematical Science, Harbin Normal University, Harbin, 150025, People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0000-0003-4920-3370","affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Harbin Normal University, Harbin, 150025, People\u2019s Republic of China","institution_ids":["https://openalex.org/I134052481"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5134204636"],"corresponding_institution_ids":["https://openalex.org/I134052481"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.51088777,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"45","issue":"8","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.8888999819755554,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.8888999819755554,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational 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/T10792","display_name":"Matrix Theory and Algorithms","score":0.01769999973475933,"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":0.007799999788403511,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.8550000190734863},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5784000158309937},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5105000138282776},{"id":"https://openalex.org/keywords/tensor-product","display_name":"Tensor product","score":0.45730000734329224},{"id":"https://openalex.org/keywords/tensor-contraction","display_name":"Tensor contraction","score":0.4494999945163727},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.4275999963283539},{"id":"https://openalex.org/keywords/core","display_name":"Core (optical fiber)","score":0.42239999771118164},{"id":"https://openalex.org/keywords/tensor-field","display_name":"Tensor field","score":0.3743000030517578},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.36410000920295715}],"concepts":[{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.8550000190734863},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6620000004768372},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5784000158309937},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5200999975204468},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5105000138282776},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.45730000734329224},{"id":"https://openalex.org/C124007464","wikidata":"https://www.wikidata.org/wiki/Q428091","display_name":"Tensor contraction","level":3,"score":0.4494999945163727},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.4275999963283539},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.42239999771118164},{"id":"https://openalex.org/C166077713","wikidata":"https://www.wikidata.org/wiki/Q1758924","display_name":"Tensor field","level":3,"score":0.3743000030517578},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.36410000920295715},{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.359499990940094},{"id":"https://openalex.org/C64835786","wikidata":"https://www.wikidata.org/wiki/Q17004583","display_name":"Cartesian tensor","level":5,"score":0.3564999997615814},{"id":"https://openalex.org/C206236147","wikidata":"https://www.wikidata.org/wiki/Q3555165","display_name":"Covariance and contravariance of vectors","level":2,"score":0.3314000070095062},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.32580000162124634},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.3215999901294708},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.32019999623298645},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3127000033855438},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.3109000027179718},{"id":"https://openalex.org/C21556879","wikidata":"https://www.wikidata.org/wiki/Q43219517","display_name":"Moore\u2013Penrose pseudoinverse","level":3,"score":0.3059000074863434},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.2825999855995178},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.262800008058548},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.25209999084472656}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-026-03739-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-026-03739-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","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/G2782840768","display_name":null,"funder_award_id":"12471129","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1748292209","https://openalex.org/W1974511160","https://openalex.org/W1987129039","https://openalex.org/W1992426838","https://openalex.org/W2003137566","https://openalex.org/W2019560642","https://openalex.org/W2021407787","https://openalex.org/W2033772417","https://openalex.org/W2038983654","https://openalex.org/W2042697805","https://openalex.org/W2043571470","https://openalex.org/W2063316287","https://openalex.org/W2090208105","https://openalex.org/W2093032237","https://openalex.org/W2095326720","https://openalex.org/W2322753244","https://openalex.org/W2328226763","https://openalex.org/W2921775510","https://openalex.org/W2982075377","https://openalex.org/W2999609280","https://openalex.org/W3004138040","https://openalex.org/W3080660600","https://openalex.org/W3157910549","https://openalex.org/W3187835492","https://openalex.org/W3195072012","https://openalex.org/W3214986996","https://openalex.org/W4245345046","https://openalex.org/W4283325938","https://openalex.org/W4361856620","https://openalex.org/W4383424872","https://openalex.org/W4386155724","https://openalex.org/W4387532283","https://openalex.org/W4403128508"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-19T05:54:51.957546","created_date":"2026-04-22T00:00:00"}