{"id":"https://openalex.org/W2099506520","doi":"https://doi.org/10.1109/icassp.1985.1168521","title":"A new look on the parallel implementation of the Shur algorithm for the solution of Toeplitz equations","display_name":"A new look on the parallel implementation of the Shur algorithm for the solution of Toeplitz equations","publication_year":2005,"publication_date":"2005-03-23","ids":{"openalex":"https://openalex.org/W2099506520","doi":"https://doi.org/10.1109/icassp.1985.1168521","mag":"2099506520"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.1985.1168521","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1985.1168521","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://doi.org/10.1109/ICASSP.1985.1168521","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108429687","display_name":"G. Carayannis","orcid":null},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"G. Carayannis","raw_affiliation_strings":["Division of Computer Science, National and Technical University of Athens, Athens, Greece","National Technical University of Athens  Athens Greece"],"affiliations":[{"raw_affiliation_string":"Division of Computer Science, National and Technical University of Athens, Athens, Greece","institution_ids":["https://openalex.org/I174458059"]},{"raw_affiliation_string":"National Technical University of Athens  Athens Greece","institution_ids":["https://openalex.org/I174458059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048977915","display_name":"E. Koukoutsis","orcid":null},"institutions":[{"id":"https://openalex.org/I200777214","display_name":"National and Kapodistrian University of Athens","ror":"https://ror.org/04gnjpq42","country_code":"GR","type":"education","lineage":["https://openalex.org/I200777214"]},{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"E. Koukoutsis","raw_affiliation_strings":["Division of Computer Science, National and Technical University of Athens, Athens, Greece","[Division of Computer Science, National and Technical University of Athens, Athens, Greece]"],"affiliations":[{"raw_affiliation_string":"Division of Computer Science, National and Technical University of Athens, Athens, Greece","institution_ids":["https://openalex.org/I174458059"]},{"raw_affiliation_string":"[Division of Computer Science, National and Technical University of Athens, Athens, Greece]","institution_ids":["https://openalex.org/I200777214"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047800576","display_name":"Dimitris G. Manolakis","orcid":"https://orcid.org/0000-0003-1341-1522"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. Manolakis","raw_affiliation_strings":["Department of Ei.and Computer Engineering, Northeastern University, Boston, MA, USA","[Department of Ei.and Computer Engineering, Northeastern University, Boston, MA, USA]"],"affiliations":[{"raw_affiliation_string":"Department of Ei.and Computer Engineering, Northeastern University, Boston, MA, USA","institution_ids":["https://openalex.org/I12912129"]},{"raw_affiliation_string":"[Department of Ei.and Computer Engineering, Northeastern University, Boston, MA, USA]","institution_ids":["https://openalex.org/I12912129"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002167806","display_name":"Christos C. Halkias","orcid":null},"institutions":[{"id":"https://openalex.org/I200777214","display_name":"National and Kapodistrian University of Athens","ror":"https://ror.org/04gnjpq42","country_code":"GR","type":"education","lineage":["https://openalex.org/I200777214"]},{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"C. Halkias","raw_affiliation_strings":["Division of Computer Science, National and Technical University of Athens, Athens, Greece","[Division of Computer Science, National and Technical University of Athens, Athens, Greece]"],"affiliations":[{"raw_affiliation_string":"Division of Computer Science, National and Technical University of Athens, Athens, Greece","institution_ids":["https://openalex.org/I174458059"]},{"raw_affiliation_string":"[Division of Computer Science, National and Technical University of Athens, Athens, Greece]","institution_ids":["https://openalex.org/I200777214"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5108429687"],"corresponding_institution_ids":["https://openalex.org/I174458059"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.18434269,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":null,"first_page":"1858","last_page":"1861"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9958999752998352,"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"}},"topics":[{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9958999752998352,"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"}},{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9932000041007996,"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"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9884999990463257,"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/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.9567488431930542},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.9211443066596985},{"id":"https://openalex.org/keywords/levinson-recursion","display_name":"Levinson recursion","score":0.7722813487052917},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.7102771401405334},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6215572953224182},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5939190983772278},{"id":"https://openalex.org/keywords/parallel-algorithm","display_name":"Parallel algorithm","score":0.49142658710479736},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4290611445903778},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4081219434738159},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34459829330444336},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14830324053764343}],"concepts":[{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.9567488431930542},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.9211443066596985},{"id":"https://openalex.org/C122212055","wikidata":"https://www.wikidata.org/wiki/Q11679774","display_name":"Levinson recursion","level":3,"score":0.7722813487052917},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.7102771401405334},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6215572953224182},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5939190983772278},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.49142658710479736},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4290611445903778},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4081219434738159},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34459829330444336},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14830324053764343},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icassp.1985.1168521","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1985.1168521","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-article"},{"id":"pmh:oai:dspace.lib.ntua.gr:123456789/30231","is_oa":true,"landing_page_url":"http://doi.org/10.1109/ICASSP.1985.1168521","pdf_url":null,"source":{"id":"https://openalex.org/S4377196837","display_name":"DSpace - NTUA (National Technical University of Athens)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I174458059","host_organization_name":"National Technical University of Athens","host_organization_lineage":["https://openalex.org/I174458059"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:dspace.lib.ntua.gr:123456789/30231","is_oa":true,"landing_page_url":"http://doi.org/10.1109/ICASSP.1985.1168521","pdf_url":null,"source":{"id":"https://openalex.org/S4377196837","display_name":"DSpace - NTUA (National Technical University of Athens)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I174458059","host_organization_name":"National Technical University of Athens","host_organization_lineage":["https://openalex.org/I174458059"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1967907744","https://openalex.org/W2034932731","https://openalex.org/W2066304584","https://openalex.org/W2117039934"],"related_works":["https://openalex.org/W2045714585","https://openalex.org/W2374553943","https://openalex.org/W1654107233","https://openalex.org/W1987843132","https://openalex.org/W2182312572","https://openalex.org/W2201692517","https://openalex.org/W2383680446","https://openalex.org/W1976328887","https://openalex.org/W1981369412","https://openalex.org/W2099506520"],"abstract_inverted_index":{"The":[0,15],"Sh\u00fcr":[1,41],"algorithm":[2],"is":[3,17,43,49],"considered":[4],"in":[5],"this":[6],"paper":[7],"and":[8,45],"two":[9],"different":[10],"computational":[11],"organizations":[12],"are":[13],"studied.":[14],"first":[16],"equivalent":[18],"to":[19],"the":[20,26,29,40,52],"well":[21],"known":[22],"\"parallel\"":[23],"solution":[24],"of":[25,39,56,59],"Toeplitz":[27],"equations,":[28],"second":[30],"gives":[31],"an":[32],"order":[33],"recursive":[34],"algorithm.":[35],"A":[36],"simple":[37],"demonstration":[38],"recursion":[42],"outlined":[44],"a":[46],"\"superlattice\"":[47],"structure":[48],"given":[50],"for":[51],"imple":[53],"-":[54],"mentation":[55],"both":[57],"types":[58],"algorithms.":[60]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
