{"id":"https://openalex.org/W1965784899","doi":"https://doi.org/10.1137/0916057","title":"Rational Multiple Criterion Approximation and Rational Complex Approximation by Differential Correction-Type Algorithms","display_name":"Rational Multiple Criterion Approximation and Rational Complex Approximation by Differential Correction-Type Algorithms","publication_year":1995,"publication_date":"1995-07-01","ids":{"openalex":"https://openalex.org/W1965784899","doi":"https://doi.org/10.1137/0916057","mag":"1965784899"},"language":"en","primary_location":{"id":"doi:10.1137/0916057","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0916057","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/A5112895914","display_name":"G.M. Cortelazzo","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"G. Cortelazzo","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027278037","display_name":"G.A. Mian","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G. A. Mian","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5003035928","display_name":"Marco Morandini","orcid":"https://orcid.org/0000-0002-1992-9077"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Morandini","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5112895914"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10080942,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"16","issue":"4","first_page":"974","last_page":"991"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9994000196456909,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9944000244140625,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9890000224113464,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7892966270446777},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.7480833530426025},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.6373570561408997},{"id":"https://openalex.org/keywords/complex-plane","display_name":"Complex plane","score":0.6114912033081055},{"id":"https://openalex.org/keywords/minimax-approximation-algorithm","display_name":"Minimax approximation algorithm","score":0.6021714806556702},{"id":"https://openalex.org/keywords/unit-circle","display_name":"Unit circle","score":0.5772661566734314},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.568867027759552},{"id":"https://openalex.org/keywords/approximation-theory","display_name":"Approximation theory","score":0.4757080674171448},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.4692060351371765},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45619824528694153},{"id":"https://openalex.org/keywords/elliptic-rational-functions","display_name":"Elliptic rational functions","score":0.4403526782989502},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4169788658618927},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3015751540660858},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29601889848709106}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7892966270446777},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.7480833530426025},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.6373570561408997},{"id":"https://openalex.org/C179117685","wikidata":"https://www.wikidata.org/wiki/Q328998","display_name":"Complex plane","level":2,"score":0.6114912033081055},{"id":"https://openalex.org/C117148685","wikidata":"https://www.wikidata.org/wiki/Q6865376","display_name":"Minimax approximation algorithm","level":2,"score":0.6021714806556702},{"id":"https://openalex.org/C126875415","wikidata":"https://www.wikidata.org/wiki/Q203425","display_name":"Unit circle","level":2,"score":0.5772661566734314},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.568867027759552},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.4757080674171448},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.4692060351371765},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45619824528694153},{"id":"https://openalex.org/C201801670","wikidata":"https://www.wikidata.org/wiki/Q2132775","display_name":"Elliptic rational functions","level":4,"score":0.4403526782989502},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4169788658618927},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3015751540660858},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29601889848709106},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C197875053","wikidata":"https://www.wikidata.org/wiki/Q7269266","display_name":"Quarter period","level":3,"score":0.0},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0916057","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0916057","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W166997141","https://openalex.org/W1766888123","https://openalex.org/W1969387442","https://openalex.org/W1972542094","https://openalex.org/W1996729064","https://openalex.org/W2007947977","https://openalex.org/W2031219349","https://openalex.org/W2058769610","https://openalex.org/W2081281255","https://openalex.org/W2103148137","https://openalex.org/W2104787536","https://openalex.org/W2131018207","https://openalex.org/W2135147462","https://openalex.org/W2137363512","https://openalex.org/W2147466287","https://openalex.org/W2150239989","https://openalex.org/W2152377802","https://openalex.org/W2154979791","https://openalex.org/W4230775814"],"related_works":["https://openalex.org/W4238540149","https://openalex.org/W2011877209","https://openalex.org/W2031082720","https://openalex.org/W36174889","https://openalex.org/W4254584551","https://openalex.org/W2077965251","https://openalex.org/W1991910028","https://openalex.org/W4254073641","https://openalex.org/W2167361053","https://openalex.org/W3090420043"],"abstract_inverted_index":{"This":[0,117],"work":[1],"shows":[2],"how":[3],"to":[4,20,47,82,94,103,119],"extend":[5],"the":[6,34,38,55,59,75,104,111,114,129],"differential":[7,87],"correction":[8,88],"algorithm":[9],"(a":[10],"well-known":[11],"technique":[12,77],"for":[13],"rational":[14,95,108],"minimax":[15,23],"approximation":[16,24],"of":[17,25,29,37,68,106,113,125],"real":[18],"functions)":[19],"handle":[21],"simultaneous":[22],"magnitude":[26],"and":[27,70,74,98],"phase":[28],"complex-valued":[30],"functions":[31,67,123],"defined":[32],"on":[33],"unit":[35,56],"circle":[36],"complex":[39,96],"plane.":[40],"The":[41,86],"proposed":[42,76],"procedure":[43],"enjoys":[44],"global":[45],"convergence":[46],"local":[48],"best":[49],"approximants":[50,60],"with":[51],"poles":[52],"only":[53],"inside":[54],"circle.":[57],"Hence,":[58],"obtained":[61],"can":[62,78,90,99],"be":[63,79,92,101],"used":[64],"as":[65],"transfer":[66,122],"causal":[69],"stable":[71,121],"linear":[72],"systems,":[73],"profitably":[80],"applied":[81,93],"digital":[83],"filter":[84],"design.":[85],"strategy":[89],"also":[91,100],"approximation,":[97],"extended":[102],"case":[105],"multidimensional":[107,130],"functions,":[109],"retaining":[110],"properties":[112],"one-dimensional":[115],"case.":[116,131],"ability":[118],"produce":[120],"is":[124],"special":[126],"interest":[127],"in":[128]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}