{"id":"https://openalex.org/W2103317968","doi":"https://doi.org/10.1109/acc.2002.1023190","title":"On the stability of convex sums of rank-1 perturbed matrices","display_name":"On the stability of convex sums of rank-1 perturbed matrices","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2103317968","doi":"https://doi.org/10.1109/acc.2002.1023190","mag":"2103317968"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2002.1023190","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2002.1023190","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301)","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/A5108574241","display_name":"Thomas J. Laffey","orcid":null},"institutions":[{"id":"https://openalex.org/I181231927","display_name":"National University of Ireland","ror":"https://ror.org/00shsf120","country_code":"IE","type":"education","lineage":["https://openalex.org/I181231927"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"T. Laffey","raw_affiliation_strings":["Department of Mathematics, NUI Dublin, Ireland","Dept. of Math., Nat. Univ. of Ireland, Dublin, Ireland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, NUI Dublin, Ireland","institution_ids":["https://openalex.org/I181231927"]},{"raw_affiliation_string":"Dept. of Math., Nat. Univ. of Ireland, Dublin, Ireland","institution_ids":["https://openalex.org/I181231927"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036373073","display_name":"Robert Shorten","orcid":"https://orcid.org/0000-0002-9239-2499"},"institutions":[{"id":"https://openalex.org/I157286207","display_name":"National University of Ireland, Maynooth","ror":"https://ror.org/048nfjm95","country_code":"IE","type":"education","lineage":["https://openalex.org/I157286207"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"R. Shorten","raw_affiliation_strings":["Hamilton Institute, NUI Maynooth Company, Ireland","[Hamilton Institute, NUI Maynooth Company, Ireland]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hamilton Institute, NUI Maynooth Company, Ireland","institution_ids":["https://openalex.org/I157286207"]},{"raw_affiliation_string":"[Hamilton Institute, NUI Maynooth Company, Ireland]","institution_ids":["https://openalex.org/I157286207"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015506903","display_name":"Fiacre \u00d3 Cairbre","orcid":null},"institutions":[{"id":"https://openalex.org/I157286207","display_name":"National University of Ireland, Maynooth","ror":"https://ror.org/048nfjm95","country_code":"IE","type":"education","lineage":["https://openalex.org/I157286207"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"F.O. Cairbre","raw_affiliation_strings":["Department of Mathematics, NUI Maynooth Company, Ireland","[Department of Mathematics, NUI Maynooth Company, Ireland]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, NUI Maynooth Company, Ireland","institution_ids":["https://openalex.org/I157286207"]},{"raw_affiliation_string":"[Department of Mathematics, NUI Maynooth Company, Ireland]","institution_ids":["https://openalex.org/I157286207"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9723,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.74424745,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":null,"first_page":"1246","last_page":"1247 vol.2"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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":0.9930999875068665,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9628999829292297,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pencil","display_name":"Pencil (optics)","score":0.7188568115234375},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.7113075256347656},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6873517632484436},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6555994153022766},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5911208391189575},{"id":"https://openalex.org/keywords/yield","display_name":"Yield (engineering)","score":0.49309274554252625},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.44618645310401917},{"id":"https://openalex.org/keywords/matrix-algebra","display_name":"Matrix algebra","score":0.4240860939025879},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3969390094280243},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3956749737262726},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.29217228293418884},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17204779386520386},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10044774413108826},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09311196208000183}],"concepts":[{"id":"https://openalex.org/C134949993","wikidata":"https://www.wikidata.org/wiki/Q2068617","display_name":"Pencil (optics)","level":2,"score":0.7188568115234375},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.7113075256347656},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6873517632484436},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6555994153022766},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5911208391189575},{"id":"https://openalex.org/C134121241","wikidata":"https://www.wikidata.org/wiki/Q899301","display_name":"Yield (engineering)","level":2,"score":0.49309274554252625},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.44618645310401917},{"id":"https://openalex.org/C2988995629","wikidata":"https://www.wikidata.org/wiki/Q2915729","display_name":"Matrix algebra","level":3,"score":0.4240860939025879},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3969390094280243},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3956749737262726},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.29217228293418884},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17204779386520386},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10044774413108826},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09311196208000183},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/acc.2002.1023190","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2002.1023190","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301)","raw_type":"proceedings-article"},{"id":"pmh:oai:eprints.maynoothuniversity.ie:10090","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401432","display_name":"Maynooth University ePrints and eTheses Archive (Maynooth University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I157286207","host_organization_name":"National University of Ireland, Maynooth","host_organization_lineage":["https://openalex.org/I157286207"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:muse.jhu.edu:/article/811206","is_oa":false,"landing_page_url":"https://muse.jhu.edu/article/811206","pdf_url":null,"source":{"id":"https://openalex.org/S4377196299","display_name":"Project Muse (Johns Hopkins University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145311948","host_organization_name":"Johns Hopkins University","host_organization_lineage":["https://openalex.org/I145311948"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","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":1,"referenced_works":["https://openalex.org/W1978148091"],"related_works":["https://openalex.org/W3196517001","https://openalex.org/W2352678454","https://openalex.org/W2949824776","https://openalex.org/W2122589520","https://openalex.org/W203811627","https://openalex.org/W2157492107","https://openalex.org/W4288324104","https://openalex.org/W940406003","https://openalex.org/W2941078816","https://openalex.org/W1621836093"],"abstract_inverted_index":{"A":[0],"compact":[1],"condition":[2],"is":[3,21],"obtained":[4],"that":[5,23],"guarantees":[6],"the":[7,24],"stability":[8],"of":[9,14,17,40],"a":[10,15,28,38],"single":[11,29],"convex":[12],"sum":[13],"pair":[16,39],"related":[18,41],"matrices.":[19],"It":[20],"anticipated":[22],"proof":[25],"presented":[26],"for":[27,37],"pencil":[30],"can":[31],"be":[32],"modified":[33],"to":[34],"yield":[35],"conditions":[36],"pencils.":[42]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
