{"id":"https://openalex.org/W1853723182","doi":"https://doi.org/10.1109/cdc.2003.1271685","title":"Hyperbolic QR factorization for J-spectral factorization of polynomial matrices","display_name":"Hyperbolic QR factorization for J-spectral factorization of polynomial matrices","publication_year":2004,"publication_date":"2004-04-23","ids":{"openalex":"https://openalex.org/W1853723182","doi":"https://doi.org/10.1109/cdc.2003.1271685","mag":"1853723182"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2003.1271685","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2003.1271685","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","raw_type":"proceedings-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/A5074893139","display_name":"Didier Henrion","orcid":"https://orcid.org/0000-0001-6735-7715"},"institutions":[{"id":"https://openalex.org/I190497903","display_name":"Laboratoire d'Analyse et d'Architecture des Syst\u00e8mes","ror":"https://ror.org/03vcm6439","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I190497903","https://openalex.org/I193033237","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210152422","https://openalex.org/I4210159245","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I4210119419","display_name":"Czech Academy of Sciences, Institute of Information Theory and Automation","ror":"https://ror.org/03h1hsz49","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210119419"]}],"countries":["CZ","FR"],"is_corresponding":false,"raw_author_name":"D. Henrion","raw_affiliation_strings":["Akademie Ved CeskC Republiky, Ustav Teorie Informace a Automatizace, Prague, Czech Republic","Centre National de la Recherche Scientifique, Laboratoire d''Analyse et d''Architecture des Syst\u00e8mes, Toulouse, France","\u00dastav Teorie Informace a Automatizace, Centre National de la Recherche Scientifique, Toulouse, Prague, France, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Akademie Ved CeskC Republiky, Ustav Teorie Informace a Automatizace, Prague, Czech Republic","institution_ids":["https://openalex.org/I4210119419"]},{"raw_affiliation_string":"Centre National de la Recherche Scientifique, Laboratoire d''Analyse et d''Architecture des Syst\u00e8mes, Toulouse, France","institution_ids":["https://openalex.org/I190497903"]},{"raw_affiliation_string":"\u00dastav Teorie Informace a Automatizace, Centre National de la Recherche Scientifique, Toulouse, Prague, France, Czech Republic","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084640075","display_name":"Peter Hippe","orcid":null},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"P. Hippe","raw_affiliation_strings":["Lehrstuhl f\u00fcr Regelungstechnik, Universit\u00e4t Erlangen-N\u00fcrnberg, Erlangen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lehrstuhl f\u00fcr Regelungstechnik, Universit\u00e4t Erlangen-N\u00fcrnberg, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5735,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.66237841,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"3479","last_page":"3484"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9976000189781189,"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":0.9976000189781189,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9944999814033508,"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/T10232","display_name":"Optical Network Technologies","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/factorization","display_name":"Factorization","score":0.8066245317459106},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.715994119644165},{"id":"https://openalex.org/keywords/qr-decomposition","display_name":"QR decomposition","score":0.6600178480148315},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5572032928466797},{"id":"https://openalex.org/keywords/factorization-of-polynomials","display_name":"Factorization of polynomials","score":0.543764591217041},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5293800234794617},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.49372920393943787},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.476887971162796},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.46558916568756104},{"id":"https://openalex.org/keywords/dixons-factorization-method","display_name":"Dixon's factorization method","score":0.42722028493881226},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.3574008345603943},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3565061688423157},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3091612160205841},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2528144121170044},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2419375777244568},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24024119973182678},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13619720935821533},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.08899465203285217},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06930786371231079}],"concepts":[{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.8066245317459106},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.715994119644165},{"id":"https://openalex.org/C188060507","wikidata":"https://www.wikidata.org/wiki/Q653242","display_name":"QR decomposition","level":3,"score":0.6600178480148315},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5572032928466797},{"id":"https://openalex.org/C108741685","wikidata":"https://www.wikidata.org/wiki/Q392477","display_name":"Factorization of polynomials","level":4,"score":0.543764591217041},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5293800234794617},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.49372920393943787},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.476887971162796},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.46558916568756104},{"id":"https://openalex.org/C137559481","wikidata":"https://www.wikidata.org/wiki/Q1231787","display_name":"Dixon's factorization method","level":5,"score":0.42722028493881226},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.3574008345603943},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3565061688423157},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3091612160205841},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2528144121170044},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2419375777244568},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24024119973182678},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13619720935821533},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.08899465203285217},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06930786371231079},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc.2003.1271685","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2003.1271685","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.304.6553","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.304.6553","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.laas.fr/~henrion/Papers/hqrjspf.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.7.942","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.7.942","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.laas.fr/~henrion/Papers/hqrjspf.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W141170012","https://openalex.org/W155444560","https://openalex.org/W304861154","https://openalex.org/W430666788","https://openalex.org/W590019629","https://openalex.org/W1514214089","https://openalex.org/W1586776267","https://openalex.org/W1976734466","https://openalex.org/W1999880206","https://openalex.org/W2027569915","https://openalex.org/W2067301630","https://openalex.org/W2798909945","https://openalex.org/W4213231302","https://openalex.org/W6667054554","https://openalex.org/W7057563197"],"related_works":["https://openalex.org/W2078349096","https://openalex.org/W2002598339","https://openalex.org/W2032602111","https://openalex.org/W2733590438","https://openalex.org/W2075134090","https://openalex.org/W1968168880","https://openalex.org/W107665794","https://openalex.org/W2118189260","https://openalex.org/W2738515271","https://openalex.org/W2093654568"],"abstract_inverted_index":{"Motivated":[0],"by":[1,40],"a":[2,26,41],"superfluous":[3],"zero":[4],"extraction":[5],"problem":[6],"arising":[7],"in":[8],"the":[9],"discrete-time":[10],"J-spectral":[11],"factorization":[12,24],"of":[13,25],"polynomial":[14],"matrices,":[15],"we":[16],"propose":[17],"an":[18],"algorithmic":[19],"solution":[20],"to":[21,32],"hyperbolic":[22],"QR":[23],"rank":[27],"deficient":[28],"constant":[29],"matrix.":[30],"Application":[31],"reduced-order":[33],"H/sub":[34],"/spl":[35],"infin//":[36],"filtering":[37],"is":[38],"illustrated":[39],"numerical":[42],"example.":[43]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
