{"id":"https://openalex.org/W1476138438","doi":"https://doi.org/10.1109/eusipco.2015.7362502","title":"Multiple shift second order sequential best rotation algorithm for polynomial matrix EVD","display_name":"Multiple shift second order sequential best rotation algorithm for polynomial matrix EVD","publication_year":2015,"publication_date":"2015-08-01","ids":{"openalex":"https://openalex.org/W1476138438","doi":"https://doi.org/10.1109/eusipco.2015.7362502","mag":"1476138438"},"language":"en","primary_location":{"id":"doi:10.1109/eusipco.2015.7362502","is_oa":false,"landing_page_url":"https://doi.org/10.1109/eusipco.2015.7362502","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 23rd European Signal Processing Conference (EUSIPCO)","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","[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"]},{"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","[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"]},{"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/A5002882853","display_name":"Jamie Corr","orcid":"https://orcid.org/0000-0001-9900-0796"},"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":"Jamie Corr","raw_affiliation_strings":["Department of Electronic & Electrical Engineering, University of Strathclyde, Glasgow, Scotland, UK","[Department of Electronic and 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"]},{"raw_affiliation_string":"[Department of Electronic and Electrical Engineering, University of Strathclyde, Glasgow, Scotland, UK]","institution_ids":["https://openalex.org/I181647926"]}]},{"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","[Department of Electronic and 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"]},{"raw_affiliation_string":"[Department of Electronic and Electrical Engineering, University of Strathclyde, Glasgow, Scotland, UK]","institution_ids":["https://openalex.org/I181647926"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.905,"has_fulltext":true,"cited_by_count":40,"citation_normalized_percentile":{"value":0.97240188,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"844","last_page":"848"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9991000294685364,"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":0.9991000294685364,"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":0.996999979019165,"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"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9865000247955322,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.7293413281440735},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6446794271469116},{"id":"https://openalex.org/keywords/eigendecomposition-of-a-matrix","display_name":"Eigendecomposition of a matrix","score":0.6347129344940186},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.601213812828064},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.5871959328651428},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5202801823616028},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.49797749519348145},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.46928155422210693},{"id":"https://openalex.org/keywords/diagonal-matrix","display_name":"Diagonal matrix","score":0.46397313475608826},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44647303223609924},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4283774793148041},{"id":"https://openalex.org/keywords/polynomial-matrix","display_name":"Polynomial matrix","score":0.42414572834968567},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4076412618160248},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.39247873425483704},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06816482543945312}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.7293413281440735},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6446794271469116},{"id":"https://openalex.org/C169756996","wikidata":"https://www.wikidata.org/wiki/Q194919","display_name":"Eigendecomposition of a matrix","level":3,"score":0.6347129344940186},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.601213812828064},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.5871959328651428},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5202801823616028},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.49797749519348145},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.46928155422210693},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.46397313475608826},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44647303223609924},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4283774793148041},{"id":"https://openalex.org/C126352355","wikidata":"https://www.wikidata.org/wiki/Q2562273","display_name":"Polynomial matrix","level":4,"score":0.42414572834968567},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4076412618160248},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.39247873425483704},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06816482543945312},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/eusipco.2015.7362502","is_oa":false,"landing_page_url":"https://doi.org/10.1109/eusipco.2015.7362502","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 23rd European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"},{"id":"pmh:oai:https://orca.cardiff.ac.uk:87420","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:53743","is_oa":false,"landing_page_url":"https://strathprints.strath.ac.uk/view/author/920914.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":[{"score":0.4000000059604645,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G5923144259","display_name":null,"funder_award_id":"EP/K014307/2","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6143932528","display_name":null,"funder_award_id":"EP/K014307","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6485023388","display_name":"Signal Processing Solutions for the Networked Battlespace","funder_award_id":"EP/K014307/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7219166536","display_name":null,"funder_award_id":"EP/K014307/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W72829283","https://openalex.org/W1481646516","https://openalex.org/W1488500342","https://openalex.org/W1755774129","https://openalex.org/W1989237782","https://openalex.org/W2036882193","https://openalex.org/W2055955104","https://openalex.org/W2060198758","https://openalex.org/W2136126519","https://openalex.org/W2138377740","https://openalex.org/W2159211918","https://openalex.org/W2165682245","https://openalex.org/W2167710683","https://openalex.org/W3133563580","https://openalex.org/W6602965194","https://openalex.org/W6637746707","https://openalex.org/W6683491535","https://openalex.org/W6684729763"],"related_works":["https://openalex.org/W1981843820","https://openalex.org/W2060198758","https://openalex.org/W4230693194","https://openalex.org/W2494839043","https://openalex.org/W2144948711","https://openalex.org/W2053332484","https://openalex.org/W3133598852","https://openalex.org/W2140574219","https://openalex.org/W2138377740","https://openalex.org/W2014517294"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"present":[4],"an":[5],"improved":[6,26],"version":[7],"of":[8,22,55,75],"the":[9,39,49,61,93],"second":[10],"order":[11],"sequential":[12,96],"best":[13],"rotation":[14],"algorithm":[15,27,52],"(SBR2)":[16],"for":[17],"polynomial":[18],"matrix":[19,97],"eigenvalue":[20],"decomposition":[21],"para-Hermitian":[23],"matrices.":[24],"The":[25],"is":[28,35,68],"entitled":[29],"multiple":[30,101],"shift":[31,102],"SBR2":[32,41,51],"(MS-SBR2)":[33],"which":[34],"developed":[36],"based":[37],"on":[38],"original":[40,50,94],"algorithm.":[42],"It":[43],"can":[44],"achieve":[45],"faster":[46],"convergence":[47,67,87],"than":[48],"by":[53,73],"means":[54,74],"transferring":[56],"more":[57],"off-diagonal":[58],"energy":[59],"onto":[60],"diagonal":[62],"at":[63],"each":[64],"iteration.":[65],"Its":[66],"proved":[69],"and":[70,89,100],"also":[71],"demonstrated":[72],"a":[76],"numerical":[77],"example.":[78],"Furthermore,":[79],"simulation":[80],"results":[81],"are":[82],"included":[83],"to":[84],"compare":[85],"its":[86],"characteristics":[88],"computational":[90],"complexity":[91],"with":[92],"SBR2,":[95],"diagonalization":[98],"(SMD)":[99],"maximum":[103],"element":[104],"SMD":[105],"algorithms.":[106]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}