{"id":"https://openalex.org/W4414116697","doi":"https://doi.org/10.1007/s40314-025-03410-9","title":"Perturbation analysis of dual T-CPO inverse based on the T-product","display_name":"Perturbation analysis of dual T-CPO inverse based on the T-product","publication_year":2025,"publication_date":"2025-09-08","ids":{"openalex":"https://openalex.org/W4414116697","doi":"https://doi.org/10.1007/s40314-025-03410-9"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-025-03410-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-025-03410-9","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/A5100420953","display_name":"Yuhang Liu","orcid":"https://orcid.org/0000-0001-6925-5528"},"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":"Yuhang Liu","raw_affiliation_strings":["School of Mathematical Science, Harbin Normal University, Harbin, 150025, People\u2019s Republic of China","School of Mathematical Science, Harbin Normal University, Harbin, People\u2019s Republic of China","School of Mathematical Science, Harbin Normal University, Harbin, 150025, People's 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"]},{"raw_affiliation_string":"School of Mathematical Science, Harbin Normal University, Harbin, People\u2019s Republic of China","institution_ids":["https://openalex.org/I134052481"]},{"raw_affiliation_string":"School of Mathematical Science, Harbin Normal University, Harbin, 150025, People's Republic of China","institution_ids":["https://openalex.org/I134052481"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101783941","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","School of Mathematical Science, Harbin Normal University, Harbin, People\u2019s Republic of China","School of Mathematical Science, Harbin Normal University, Harbin, 150025, People's 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"]},{"raw_affiliation_string":"School of Mathematical Science, Harbin Normal University, Harbin, People\u2019s Republic of China","institution_ids":["https://openalex.org/I134052481"]},{"raw_affiliation_string":"School of Mathematical Science, Harbin Normal University, Harbin, 150025, People's Republic of China","institution_ids":["https://openalex.org/I134052481"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100420953","https://openalex.org/A5101783941"],"corresponding_institution_ids":["https://openalex.org/I134052481"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":1.9771,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.85310351,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"45","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11236","display_name":"Control Systems and Identification","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/perturbation","display_name":"Perturbation (astronomy)","score":0.7609999775886536},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.6244999766349792},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5353000164031982},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.44179999828338623},{"id":"https://openalex.org/keywords/poincar\u00e9\u2013lindstedt-method","display_name":"Poincar\u00e9\u2013Lindstedt method","score":0.4020000100135803}],"concepts":[{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.7609999775886536},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6244999766349792},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5965999960899353},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5353000164031982},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.44179999828338623},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4390999972820282},{"id":"https://openalex.org/C153359094","wikidata":"https://www.wikidata.org/wiki/Q7207873","display_name":"Poincar\u00e9\u2013Lindstedt method","level":3,"score":0.4020000100135803},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39969998598098755},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.3303999900817871},{"id":"https://openalex.org/C76134657","wikidata":"https://www.wikidata.org/wiki/Q370634","display_name":"Generalized inverse","level":3,"score":0.328900009393692},{"id":"https://openalex.org/C21556879","wikidata":"https://www.wikidata.org/wiki/Q43219517","display_name":"Moore\u2013Penrose pseudoinverse","level":3,"score":0.28220000863075256},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2531000077724457}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-025-03410-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-025-03410-9","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W602087562","https://openalex.org/W1974511160","https://openalex.org/W1992426838","https://openalex.org/W2016206932","https://openalex.org/W2038983654","https://openalex.org/W2040040776","https://openalex.org/W2043571470","https://openalex.org/W2057538344","https://openalex.org/W2063316287","https://openalex.org/W2093032237","https://openalex.org/W2095326720","https://openalex.org/W2161862325","https://openalex.org/W2883787460","https://openalex.org/W2888341716","https://openalex.org/W2921775510","https://openalex.org/W2999609280","https://openalex.org/W3004138040","https://openalex.org/W3112547055","https://openalex.org/W3184943813","https://openalex.org/W3197913691","https://openalex.org/W3207248133","https://openalex.org/W3214066271","https://openalex.org/W3214986996","https://openalex.org/W4213002755","https://openalex.org/W4283325938","https://openalex.org/W4308574252","https://openalex.org/W4308844403","https://openalex.org/W4361856620","https://openalex.org/W4383424872","https://openalex.org/W4389636485","https://openalex.org/W4390576576","https://openalex.org/W4391744191","https://openalex.org/W4396696046","https://openalex.org/W4396806872","https://openalex.org/W4400417044","https://openalex.org/W4413764900"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885","https://openalex.org/W2298861036","https://openalex.org/W2271181815"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}