{"id":"https://openalex.org/W4400417044","doi":"https://doi.org/10.1007/s40314-024-02823-2","title":"Perturbation of least squares problem of dual linear operator in dual-Hilbert spaces","display_name":"Perturbation of least squares problem of dual linear operator in dual-Hilbert spaces","publication_year":2024,"publication_date":"2024-07-08","ids":{"openalex":"https://openalex.org/W4400417044","doi":"https://doi.org/10.1007/s40314-024-02823-2"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-024-02823-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-024-02823-2","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":"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, 150025, People's Republic of China"],"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, 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":false,"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, 150025, People's Republic of China"],"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, 150025, People's Republic of China","institution_ids":["https://openalex.org/I134052481"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100420953"],"corresponding_institution_ids":["https://openalex.org/I134052481"],"apc_list":null,"apc_paid":null,"fwci":1.003,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.71810101,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"43","issue":"6","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9965000152587891,"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"}},"topics":[{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9965000152587891,"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/T13685","display_name":"Material Science and Thermodynamics","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9940000176429749,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6553665995597839},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.6511974334716797},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5927913784980774},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5290507078170776},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5206407904624939},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.5095365643501282},{"id":"https://openalex.org/keywords/linear-map","display_name":"Linear map","score":0.45350152254104614},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40097108483314514},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3263401985168457},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3202046751976013},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18239206075668335},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06694763898849487},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.06360825896263123}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6553665995597839},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6511974334716797},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5927913784980774},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5290507078170776},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5206407904624939},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.5095365643501282},{"id":"https://openalex.org/C49766605","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear map","level":2,"score":0.45350152254104614},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40097108483314514},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3263401985168457},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3202046751976013},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18239206075668335},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06694763898849487},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.06360825896263123},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-024-02823-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-024-02823-2","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/G8131562032","display_name":null,"funder_award_id":"11971136","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":37,"referenced_works":["https://openalex.org/W170069669","https://openalex.org/W658559791","https://openalex.org/W1970486973","https://openalex.org/W1980454457","https://openalex.org/W2000873651","https://openalex.org/W2016206932","https://openalex.org/W2019551823","https://openalex.org/W2028691689","https://openalex.org/W2031766448","https://openalex.org/W2044222847","https://openalex.org/W2049627920","https://openalex.org/W2054418615","https://openalex.org/W2072538518","https://openalex.org/W2085775871","https://openalex.org/W2091860496","https://openalex.org/W2102670506","https://openalex.org/W2121349631","https://openalex.org/W2123703490","https://openalex.org/W2221636542","https://openalex.org/W2787900310","https://openalex.org/W3010997318","https://openalex.org/W3016468995","https://openalex.org/W3102718792","https://openalex.org/W3107850099","https://openalex.org/W3112547055","https://openalex.org/W3187867498","https://openalex.org/W3214066271","https://openalex.org/W4308844403","https://openalex.org/W4380487384","https://openalex.org/W4383424872","https://openalex.org/W4387057591","https://openalex.org/W4389788050","https://openalex.org/W4390084195","https://openalex.org/W4390576576","https://openalex.org/W4390674050","https://openalex.org/W4391744191","https://openalex.org/W6603353195"],"related_works":["https://openalex.org/W2317351040","https://openalex.org/W4285447065","https://openalex.org/W2952466936","https://openalex.org/W1988622314","https://openalex.org/W99504509","https://openalex.org/W2332830220","https://openalex.org/W1597824865","https://openalex.org/W4301498667","https://openalex.org/W4302359806","https://openalex.org/W2964349031"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}