{"id":"https://openalex.org/W2160993635","doi":"https://doi.org/10.1109/cdc.2007.4434368","title":"Stable rational approximation in the context of interpolation and convex optimization","display_name":"Stable rational approximation in the context of interpolation and convex optimization","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2160993635","doi":"https://doi.org/10.1109/cdc.2007.4434368","mag":"2160993635"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2007.4434368","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434368","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"conference-paper","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/A5065730184","display_name":"Johan Karlsson","orcid":"https://orcid.org/0000-0001-5158-9255"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Johan Karlsson","raw_affiliation_strings":["Department of Mathematics Division of Optimization and Systems Theory, Royal Institute of Technology, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Division of Optimization and Systems Theory, Royal Institute of Technology, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055347602","display_name":"Anders Lindquist","orcid":"https://orcid.org/0000-0002-2681-8383"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Anders Lindquist","raw_affiliation_strings":["Department of Mathematics Division of Optimization and Systems Theory, Royal Institute of Technology, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Division of Optimization and Systems Theory, Royal Institute of Technology, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I86987016"],"apc_list":null,"apc_paid":null,"fwci":1.5964,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.82905983,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"4353","last_page":"4360"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9977999925613403,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7693910598754883},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.6649537086486816},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.635567307472229},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5165254473686218},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.510197639465332},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4960268437862396},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.46694743633270264},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.44786587357521057},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44523248076438904},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4271094501018524},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37239956855773926},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34418636560440063},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3441739082336426},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18821817636489868},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1223452091217041},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07538777589797974}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7693910598754883},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.6649537086486816},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.635567307472229},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5165254473686218},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.510197639465332},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4960268437862396},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.46694743633270264},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.44786587357521057},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44523248076438904},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4271094501018524},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37239956855773926},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34418636560440063},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3441739082336426},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18821817636489868},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1223452091217041},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07538777589797974},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2007.4434368","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434368","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.142.5094","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.142.5094","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.kth.se/optsyst/alq/KL07cdc.pdf","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":12,"referenced_works":["https://openalex.org/W1534416612","https://openalex.org/W1588998206","https://openalex.org/W1968780839","https://openalex.org/W1993408859","https://openalex.org/W2034244658","https://openalex.org/W2048497393","https://openalex.org/W2070928644","https://openalex.org/W2079132917","https://openalex.org/W2125368842","https://openalex.org/W2127223476","https://openalex.org/W2152789859","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W2051058708","https://openalex.org/W1494268238","https://openalex.org/W154868527","https://openalex.org/W1983207144","https://openalex.org/W2490706771","https://openalex.org/W2480116122","https://openalex.org/W4255576661","https://openalex.org/W1516574938","https://openalex.org/W2625725254","https://openalex.org/W2364477340"],"abstract_inverted_index":{"A":[0],"quite":[1],"comprehensive":[2],"theory":[3,87],"of":[4,64],"analytic":[5],"interpolation":[6,70],"with":[7,11,14,42,110],"degree":[8,46],"constraint,":[9],"dealing":[10],"rational":[12,81],"interpolants":[13,41,55],"an":[15],"a":[16,43,73,80,92],"priori":[17],"bound,":[18],"has":[19],"been":[20],"developed":[21],"in":[22],"recent":[23],"years.":[24],"In":[25],"this":[26,34],"paper":[27],"we":[28],"consider":[29],"the":[30,54,59,66,69,86,96,108],"limit":[31],"case":[32,109],"when":[33],"bound":[35],"is":[36,77,88],"removed,":[37],"and":[38,68,79],"only":[39],"stable":[40],"prescribed":[44],"maximum":[45],"are":[47,56],"sought.":[48],"This":[49,90],"leads":[50],"to":[51,98,107],"weightedH2minimization,":[52],"where":[53],"parameterized":[57],"by":[58],"weights.":[60],"The":[61,100],"inverse":[62],"problem":[63],"determining":[65],"weight":[67],"points":[71],"given":[72],"desired":[74],"interpolant":[75],"profile":[76],"considered,":[78],"approximation":[82],"procedure":[83],"based":[84],"on":[85],"proposed.":[89],"provides":[91],"tool":[93],"for":[94],"tuning":[95],"solution":[97],"specifications.":[99],"basic":[101],"idea":[102],"could":[103],"also":[104],"be":[105],"applied":[106],"bounded":[111],"interpolants.":[112]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}