{"id":"https://openalex.org/W2343652705","doi":"https://doi.org/10.1109/tcsii.2016.2531127","title":"On the Nonconvergence of the Vector Fitting Algorithm","display_name":"On the Nonconvergence of the Vector Fitting Algorithm","publication_year":2016,"publication_date":"2016-02-19","ids":{"openalex":"https://openalex.org/W2343652705","doi":"https://doi.org/10.1109/tcsii.2016.2531127","mag":"2343652705"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2016.2531127","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2016.2531127","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems II: Express Briefs","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/A5072810436","display_name":"Guoyong Shi","orcid":"https://orcid.org/0000-0002-8655-3487"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guoyong Shi","raw_affiliation_strings":["Department of Micro/Nano Electronics, School of Electronic, Information, and Electrical Engineering, Shanghai Jiao Tong University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Micro/Nano Electronics, School of Electronic, Information, and Electrical Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5072810436"],"corresponding_institution_ids":["https://openalex.org/I183067930"],"apc_list":null,"apc_paid":null,"fwci":6.4614,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.96012127,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"63","issue":"8","first_page":"718","last_page":"722"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9976000189781189,"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"}},"topics":[{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9976000189781189,"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"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10822","display_name":"Acoustic Wave Phenomena Research","score":0.9919999837875366,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/algorithm","display_name":"Algorithm","score":0.7081915140151978},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5931216478347778},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5639610290527344},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.5545204281806946},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5033137202262878},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.46929436922073364},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.4365568459033966},{"id":"https://openalex.org/keywords/limit-point","display_name":"Limit point","score":0.43090352416038513}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.7081915140151978},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5931216478347778},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5639610290527344},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.5545204281806946},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5033137202262878},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.46929436922073364},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4365568459033966},{"id":"https://openalex.org/C63548660","wikidata":"https://www.wikidata.org/wiki/Q858223","display_name":"Limit point","level":2,"score":0.43090352416038513},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2016.2531127","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2016.2531127","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems II: Express Briefs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3603550966","display_name":null,"funder_award_id":"61474145","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G411549842","display_name":null,"funder_award_id":"61176129","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":7,"referenced_works":["https://openalex.org/W1982886044","https://openalex.org/W2007466948","https://openalex.org/W2016023990","https://openalex.org/W2050409837","https://openalex.org/W2061857270","https://openalex.org/W2155305403","https://openalex.org/W2171353752"],"related_works":["https://openalex.org/W2118815061","https://openalex.org/W2215353002","https://openalex.org/W4297022878","https://openalex.org/W2080846028","https://openalex.org/W2354973579","https://openalex.org/W3042698916","https://openalex.org/W1271291390","https://openalex.org/W4398155126","https://openalex.org/W1991117052","https://openalex.org/W4230102134"],"abstract_inverted_index":{"The":[0],"vector":[1],"fitting":[2],"(VF)":[3],"algorithm,":[4,12,89,137],"as":[5,114],"a":[6,29,115,157],"variant":[7],"of":[8,57,99,117],"the":[9,51,54,58,61,77,84,87,100,108,111,132,135,154,164,167],"Sanathanan-Koerner":[10],"(SK)":[11],"has":[13,44],"been":[14,45],"widely":[15],"used":[16],"for":[17],"frequency-domain":[18],"modeling.":[19],"This":[20],"algorithm":[21,113,169],"is":[22,36,73,126,159],"essentially":[23],"an":[24],"iterative":[25],"procedure,":[26],"in":[27,38,50,174],"which":[28],"revised":[30],"linear":[31],"least":[32],"squares":[33],"(LS)":[34],"problem":[35],"solved":[37],"each":[39],"step.":[40],"So":[41],"far,":[42],"there":[43],"hardly":[46],"any":[47,96,144],"analytical":[48],"result":[49],"literature":[52],"on":[53],"convergence":[55],"property":[56],"SK":[59,85,109,133,165],"or":[60,86,110,134,166],"VF":[62,88,112,136,168],"algorithm.":[63],"In":[64],"this":[65],"brief,":[66],"several":[67],"results":[68],"are":[69,81],"developed.":[70],"First,":[71],"it":[72,91,125,139],"shown":[74,127],"that,":[75,128],"if":[76,90,138],"frequency":[78],"response":[79],"data":[80],"noisy,":[82],"then":[83],"converges,":[92,140],"would":[93,141],"never":[94,142],"reach":[95,143],"local":[97],"minimum":[98],"original":[101],"nonlinear":[102],"LS":[103,120],"problem.":[104],"Second,":[105],"by":[106],"modeling":[107],"sequence":[116],"solving":[118],"weighted":[119],"problems":[121],"with":[122,129,147],"updated":[123],"weights,":[124],"noisy":[130],"data,":[131],"stationary":[145],"point":[146],"respect":[148],"to":[149,153,161],"weights.":[150],"With":[151],"regard":[152],"general":[155],"convergence,":[156],"counterexample":[158],"given":[160],"show":[162],"that":[163],"does":[170],"not":[171],"converge":[172],"and,":[173],"fact,":[175],"runs":[176],"into":[177],"limit-cycle-like":[178],"oscillation.":[179]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}