{"id":"https://openalex.org/W2081182772","doi":"https://doi.org/10.1137/0916008","title":"A Modified Prony Algorithm for Exponential Function Fitting","display_name":"A Modified Prony Algorithm for Exponential Function Fitting","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W2081182772","doi":"https://doi.org/10.1137/0916008","mag":"2081182772"},"language":"en","primary_location":{"id":"doi:10.1137/0916008","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0916008","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","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/A5103558831","display_name":"M. R. Osborne","orcid":null},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"M. R. Osborne","raw_affiliation_strings":["Statistics Research Section, School of Mathematics, Australian National University, GPO Box 4, Canberra, ACT 2601, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Statistics Research Section, School of Mathematics, Australian National University, GPO Box 4, Canberra, ACT 2601, Australia","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054704071","display_name":"Gordon K. Smyth","orcid":"https://orcid.org/0000-0001-9221-2892"},"institutions":[{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"education","lineage":["https://openalex.org/I160993911"]},{"id":"https://openalex.org/I165143802","display_name":"The University of Queensland","ror":"https://ror.org/00rqy9422","country_code":"AU","type":"education","lineage":["https://openalex.org/I165143802"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"G. K. Smyth","raw_affiliation_strings":["Department of Mathematics, University of Queensland, Q 4072, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Queensland, Q 4072, Australia","institution_ids":["https://openalex.org/I160993911","https://openalex.org/I165143802"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.8155,"has_fulltext":false,"cited_by_count":224,"citation_normalized_percentile":{"value":0.931525,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"16","issue":"1","first_page":"119","last_page":"138"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9959999918937683,"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"}},"topics":[{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9959999918937683,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9952999949455261,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.993399977684021,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8468413352966309},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6234464645385742},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5801864266395569},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.517734706401825},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5008194446563721},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.49889087677001953},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.4956403970718384},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4391053318977356},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.41547891497612},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32427993416786194},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19958195090293884},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.1431116759777069},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12746897339820862}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8468413352966309},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6234464645385742},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5801864266395569},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.517734706401825},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5008194446563721},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.49889087677001953},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.4956403970718384},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4391053318977356},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.41547891497612},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32427993416786194},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19958195090293884},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.1431116759777069},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12746897339820862},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/0916008","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0916008","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.49.218","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.49.218","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.maths.uq.edu.au/~gks/research/pronyexp.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W218580582","https://openalex.org/W1597732836","https://openalex.org/W1613616705","https://openalex.org/W1968172088","https://openalex.org/W1980165741","https://openalex.org/W1984981424","https://openalex.org/W1986169259","https://openalex.org/W1986183767","https://openalex.org/W1991005737","https://openalex.org/W1992475048","https://openalex.org/W2002443936","https://openalex.org/W2016370763","https://openalex.org/W2017638737","https://openalex.org/W2018089423","https://openalex.org/W2024405371","https://openalex.org/W2024564004","https://openalex.org/W2026817861","https://openalex.org/W2040226888","https://openalex.org/W2041103360","https://openalex.org/W2044270029","https://openalex.org/W2044779088","https://openalex.org/W2051866702","https://openalex.org/W2063973166","https://openalex.org/W2067148833","https://openalex.org/W2067526476","https://openalex.org/W2070779353","https://openalex.org/W2072990495","https://openalex.org/W2073649065","https://openalex.org/W2075906307","https://openalex.org/W2082503230","https://openalex.org/W2090963365","https://openalex.org/W2115209188","https://openalex.org/W2148723353","https://openalex.org/W2164422015","https://openalex.org/W2169582968","https://openalex.org/W2171132099","https://openalex.org/W2326341776","https://openalex.org/W2403667775","https://openalex.org/W2478091498","https://openalex.org/W2489605225","https://openalex.org/W2568392743","https://openalex.org/W2739833408","https://openalex.org/W2767872296","https://openalex.org/W2798788284","https://openalex.org/W3031689935","https://openalex.org/W4206698960","https://openalex.org/W4256295166","https://openalex.org/W4299512035"],"related_works":["https://openalex.org/W2808944898","https://openalex.org/W3196207352","https://openalex.org/W2951724202","https://openalex.org/W3084261076","https://openalex.org/W1996614773","https://openalex.org/W4387820098","https://openalex.org/W2576399385","https://openalex.org/W2963408011","https://openalex.org/W4236324517","https://openalex.org/W1586813864"],"abstract_inverted_index":{"A":[0],"modification":[1],"of":[2,6,11,30,61,85],"the":[3,21,24,27,62,81],"classical":[4],"technique":[5],"Prony":[7],"for":[8,23,38,68,80],"fitting":[9],"sums":[10],"exponential":[12],"functions":[13],"to":[14,42],"data":[15],"is":[16,34,49],"considered.":[17],"The":[18,70],"method":[19],"maximizes":[20],"likelihood":[22],"problem":[25,63],"(unlike":[26],"usual":[28],"implementation":[29],"Prony\u2019s":[31],"method,":[32],"which":[33],"not":[35],"even":[36],"consistent":[37],"transient":[39],"signals),":[40],"proves":[41],"be":[43],"remarkably":[44],"effective":[45],"in":[46,83],"practice,":[47],"and":[48,65],"supported":[50],"by":[51,77],"an":[52,78],"asymptotic":[53,71],"stability":[54],"result.":[55],"Novel":[56],"features":[57],"include":[58],"a":[59],"discussion":[60],"parametrization":[64],"its":[66],"implications":[67],"consistency.":[69],"convergence":[72],"proofs":[73],"are":[74],"made":[75],"possible":[76],"expression":[79],"algorithm":[82],"terms":[84],"circulant":[86],"divided":[87],"difference":[88],"operators.":[89]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":13},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":13},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":7}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
