{"id":"https://openalex.org/W2037082055","doi":"https://doi.org/10.1016/s0019-9958(77)90381-3","title":"Fixed-point smoothing in Hilbert spaces","display_name":"Fixed-point smoothing in Hilbert spaces","publication_year":1977,"publication_date":"1977-08-01","ids":{"openalex":"https://openalex.org/W2037082055","doi":"https://doi.org/10.1016/s0019-9958(77)90381-3","mag":"2037082055"},"language":"en","primary_location":{"id":"doi:10.1016/s0019-9958(77)90381-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0019-9958(77)90381-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210192454","display_name":"Information and Control","issn_l":"0019-9958","issn":["0019-9958","1878-2981"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319955","host_organization_name":"Academic Press","host_organization_lineage":["https://openalex.org/P4310319955","https://openalex.org/P4310320990"],"host_organization_lineage_names":["Academic Press","Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information and Control","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/A5112572267","display_name":"S. \u014cmatu","orcid":null},"institutions":[{"id":"https://openalex.org/I922474255","display_name":"Tokushima University","ror":"https://ror.org/044vy1d05","country_code":"JP","type":"education","lineage":["https://openalex.org/I922474255"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"S. Omatu","raw_affiliation_strings":["Department of Information Science and Systems Engineering, Faculty of Engineering, University of Tokushima, Minamijosanjima 2-1, Tokushima, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Information Science and Systems Engineering, Faculty of Engineering, University of Tokushima, Minamijosanjima 2-1, Tokushima, Japan","institution_ids":["https://openalex.org/I922474255"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079561998","display_name":"Y. Tomita","orcid":"https://orcid.org/0000-0003-0450-521X"},"institutions":[{"id":"https://openalex.org/I922474255","display_name":"Tokushima University","ror":"https://ror.org/044vy1d05","country_code":"JP","type":"education","lineage":["https://openalex.org/I922474255"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Y. Tomita","raw_affiliation_strings":["Department of Information Science and Systems Engineering, Faculty of Engineering, University of Tokushima, Minamijosanjima 2-1, Tokushima, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Information Science and Systems Engineering, Faculty of Engineering, University of Tokushima, Minamijosanjima 2-1, Tokushima, Japan","institution_ids":["https://openalex.org/I922474255"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111577698","display_name":"T. Soeda","orcid":null},"institutions":[{"id":"https://openalex.org/I922474255","display_name":"Tokushima University","ror":"https://ror.org/044vy1d05","country_code":"JP","type":"education","lineage":["https://openalex.org/I922474255"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"T. Soeda","raw_affiliation_strings":["Department of Information Science and Systems Engineering, Faculty of Engineering, University of Tokushima, Minamijosanjima 2-1, Tokushima, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Information Science and Systems Engineering, Faculty of Engineering, University of Tokushima, Minamijosanjima 2-1, Tokushima, Japan","institution_ids":["https://openalex.org/I922474255"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5112572267"],"corresponding_institution_ids":["https://openalex.org/I922474255"],"apc_list":null,"apc_paid":null,"fwci":8.7319,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.97317343,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":"4","first_page":"324","last_page":"338"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9807000160217285,"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"}},{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9678000211715698,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/smoothing","display_name":"Smoothing","score":0.8979446887969971},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.8089344501495361},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.7773187160491943},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7520701885223389},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.6490941643714905},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5794522166252136},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.5297271609306335},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.46707916259765625},{"id":"https://openalex.org/keywords/covariance-operator","display_name":"Covariance operator","score":0.44673582911491394},{"id":"https://openalex.org/keywords/linear-operators","display_name":"Linear operators","score":0.42755380272865295},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35965073108673096},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33443278074264526},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0954473614692688}],"concepts":[{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.8979446887969971},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.8089344501495361},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7773187160491943},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7520701885223389},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.6490941643714905},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5794522166252136},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.5297271609306335},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.46707916259765625},{"id":"https://openalex.org/C103692563","wikidata":"https://www.wikidata.org/wiki/Q5178900","display_name":"Covariance operator","level":3,"score":0.44673582911491394},{"id":"https://openalex.org/C3019018024","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear operators","level":3,"score":0.42755380272865295},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35965073108673096},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33443278074264526},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0954473614692688},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0019-9958(77)90381-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0019-9958(77)90381-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210192454","display_name":"Information and Control","issn_l":"0019-9958","issn":["0019-9958","1878-2981"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319955","host_organization_name":"Academic Press","host_organization_lineage":["https://openalex.org/P4310319955","https://openalex.org/P4310320990"],"host_organization_lineage_names":["Academic Press","Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information and Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1554751396","https://openalex.org/W1978120909","https://openalex.org/W2002189248","https://openalex.org/W2004626529","https://openalex.org/W2006346196","https://openalex.org/W2017694313","https://openalex.org/W2018295752","https://openalex.org/W2024175441","https://openalex.org/W2029996848","https://openalex.org/W2035242809","https://openalex.org/W2057670157","https://openalex.org/W2074143156","https://openalex.org/W2125408716","https://openalex.org/W3147034027","https://openalex.org/W4249925951","https://openalex.org/W6633028129","https://openalex.org/W6644750384","https://openalex.org/W6650734803"],"related_works":["https://openalex.org/W1509758958","https://openalex.org/W4323058680","https://openalex.org/W4302359806","https://openalex.org/W2391553691","https://openalex.org/W2531545003","https://openalex.org/W4298199321","https://openalex.org/W3103135560","https://openalex.org/W3098894703","https://openalex.org/W1561820841","https://openalex.org/W99504509"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
