{"id":"https://openalex.org/W2289858865","doi":"https://doi.org/10.1109/acssc.2015.7421442","title":"Multichannel spectral factorization algorithm using polynomial matrix eigenvalue decomposition","display_name":"Multichannel spectral factorization algorithm using polynomial matrix eigenvalue decomposition","publication_year":2015,"publication_date":"2015-11-01","ids":{"openalex":"https://openalex.org/W2289858865","doi":"https://doi.org/10.1109/acssc.2015.7421442","mag":"2289858865"},"language":"en","primary_location":{"id":"doi:10.1109/acssc.2015.7421442","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acssc.2015.7421442","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 49th Asilomar Conference on Signals, Systems and Computers","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/A5048903297","display_name":"Zeliang Wang","orcid":"https://orcid.org/0000-0003-2108-8606"},"institutions":[{"id":"https://openalex.org/I79510175","display_name":"Cardiff University","ror":"https://ror.org/03kk7td41","country_code":"GB","type":"education","lineage":["https://openalex.org/I79510175"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Zeliang Wang","raw_affiliation_strings":["School of Engineering, Cardiff University, Cardiff, Wales, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Engineering, Cardiff University, Cardiff, Wales, UK","institution_ids":["https://openalex.org/I79510175"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105458070","display_name":"J.G. McWhirter","orcid":"https://orcid.org/0000-0003-1810-3318"},"institutions":[{"id":"https://openalex.org/I79510175","display_name":"Cardiff University","ror":"https://ror.org/03kk7td41","country_code":"GB","type":"education","lineage":["https://openalex.org/I79510175"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"John G. McWhirter","raw_affiliation_strings":["School of Engineering, Cardiff University, Cardiff, Wales, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Engineering, Cardiff University, Cardiff, Wales, UK","institution_ids":["https://openalex.org/I79510175"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045197736","display_name":"Stephan Weiss","orcid":"https://orcid.org/0000-0002-3486-7206"},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Stephan Weiss","raw_affiliation_strings":["Department of Electronic & Electrical Engineering, University of Strathclyde, Glasgow, Scotland, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic & Electrical Engineering, University of Strathclyde, Glasgow, Scotland, UK","institution_ids":["https://openalex.org/I181647926"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.9074,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.91642072,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1714","last_page":"1718"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9980000257492065,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9980000257492065,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9961000084877014,"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"}},{"id":"https://openalex.org/T10232","display_name":"Optical Network Technologies","score":0.995199978351593,"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/matrix-decomposition","display_name":"Matrix decomposition","score":0.7904022336006165},{"id":"https://openalex.org/keywords/eigendecomposition-of-a-matrix","display_name":"Eigendecomposition of a matrix","score":0.7519350051879883},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.6295286417007446},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6250671744346619},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.5601965188980103},{"id":"https://openalex.org/keywords/spectral-theorem","display_name":"Spectral theorem","score":0.5432535409927368},{"id":"https://openalex.org/keywords/polynomial-matrix","display_name":"Polynomial matrix","score":0.5074726939201355},{"id":"https://openalex.org/keywords/dixons-factorization-method","display_name":"Dixon's factorization method","score":0.49916791915893555},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4955698251724243},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.48629841208457947},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.4826936721801758},{"id":"https://openalex.org/keywords/qr-decomposition","display_name":"QR decomposition","score":0.4681824743747711},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45383456349372864},{"id":"https://openalex.org/keywords/factorization-of-polynomials","display_name":"Factorization of polynomials","score":0.45119473338127136},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.43950629234313965},{"id":"https://openalex.org/keywords/incomplete-lu-factorization","display_name":"Incomplete LU factorization","score":0.4124719202518463},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3931909203529358},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1362694799900055},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07476994395256042},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07000592350959778}],"concepts":[{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.7904022336006165},{"id":"https://openalex.org/C169756996","wikidata":"https://www.wikidata.org/wiki/Q194919","display_name":"Eigendecomposition of a matrix","level":3,"score":0.7519350051879883},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.6295286417007446},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6250671744346619},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.5601965188980103},{"id":"https://openalex.org/C35958075","wikidata":"https://www.wikidata.org/wiki/Q1425077","display_name":"Spectral theorem","level":3,"score":0.5432535409927368},{"id":"https://openalex.org/C126352355","wikidata":"https://www.wikidata.org/wiki/Q2562273","display_name":"Polynomial matrix","level":4,"score":0.5074726939201355},{"id":"https://openalex.org/C137559481","wikidata":"https://www.wikidata.org/wiki/Q1231787","display_name":"Dixon's factorization method","level":5,"score":0.49916791915893555},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4955698251724243},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.48629841208457947},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4826936721801758},{"id":"https://openalex.org/C188060507","wikidata":"https://www.wikidata.org/wiki/Q653242","display_name":"QR decomposition","level":3,"score":0.4681824743747711},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45383456349372864},{"id":"https://openalex.org/C108741685","wikidata":"https://www.wikidata.org/wiki/Q392477","display_name":"Factorization of polynomials","level":4,"score":0.45119473338127136},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.43950629234313965},{"id":"https://openalex.org/C134978465","wikidata":"https://www.wikidata.org/wiki/Q1654069","display_name":"Incomplete LU factorization","level":4,"score":0.4124719202518463},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3931909203529358},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1362694799900055},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07476994395256042},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07000592350959778},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/acssc.2015.7421442","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acssc.2015.7421442","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 49th Asilomar Conference on Signals, Systems and Computers","raw_type":"proceedings-article"},{"id":"pmh:oai:https://orca.cardiff.ac.uk:87415","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401195","display_name":"ORCA Online Research @Cardiff (Cardiff University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79510175","host_organization_name":"Cardiff University","host_organization_lineage":["https://openalex.org/I79510175"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Conference or Workshop Item"},{"id":"pmh:oai:strathprints.strath.ac.uk:61835","is_oa":false,"landing_page_url":"https://strathprints.strath.ac.uk/view/author/70486.html>;","pdf_url":null,"source":{"id":"https://openalex.org/S4306402226","display_name":"Strathprints: The University of Strathclyde institutional repository (University of Strathclyde)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I181647926","host_organization_name":"University of Strathclyde","host_organization_lineage":["https://openalex.org/I181647926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"NonPeerReviewed"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W141170012","https://openalex.org/W1415374537","https://openalex.org/W1476138438","https://openalex.org/W1481646516","https://openalex.org/W1483072194","https://openalex.org/W1510355813","https://openalex.org/W1900372236","https://openalex.org/W1973014977","https://openalex.org/W1991364786","https://openalex.org/W2054927092","https://openalex.org/W2060198758","https://openalex.org/W2103364132","https://openalex.org/W2107300011","https://openalex.org/W2115910815","https://openalex.org/W2136126519","https://openalex.org/W2138377740","https://openalex.org/W2160037824","https://openalex.org/W2163101083","https://openalex.org/W2171352244","https://openalex.org/W2554029036","https://openalex.org/W2798506522","https://openalex.org/W2997829126","https://openalex.org/W6639440690","https://openalex.org/W6730046217"],"related_works":["https://openalex.org/W2060455298","https://openalex.org/W2327689792","https://openalex.org/W2075134090","https://openalex.org/W648090951","https://openalex.org/W2032602111","https://openalex.org/W2157199490","https://openalex.org/W1968168880","https://openalex.org/W2733590438","https://openalex.org/W2998017686","https://openalex.org/W2464883949"],"abstract_inverted_index":{"In":[0,74],"this":[1],"paper,":[2],"we":[3],"present":[4],"a":[5,56],"new":[6],"multichannel":[7,47,79],"spectral":[8,19,48,71,80],"factorization":[9,49,72,81],"algorithm":[10,28],"which":[11,62,85],"can":[12,63],"be":[13,64],"utilized":[14],"to":[15,55,89],"calculate":[16],"the":[17,43,46,78],"approximate":[18],"factor":[20],"of":[21,58,68],"any":[22],"para-Hermitian":[23],"polynomial":[24,36],"matrix.":[25],"The":[26],"proposed":[27],"is":[29,51,86],"based":[30],"on":[31],"an":[32],"iterative":[33],"method":[34],"for":[35],"matrix":[37],"eigenvalue":[38],"decomposition":[39],"(PEVD).":[40],"By":[41],"using":[42],"PEVD":[44],"algorithm,":[45],"problem":[50,82],"simply":[52],"broken":[53],"down":[54],"set":[57],"single":[59],"channel":[60],"problems":[61],"solved":[65],"by":[66],"means":[67],"existing":[69],"one-dimensional":[70],"algorithms.":[73],"effect,":[75],"it":[76],"transforms":[77],"into":[83],"one":[84],"much":[87],"easier":[88],"solve.":[90]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}