{"id":"https://openalex.org/W2104957738","doi":"https://doi.org/10.1007/s00211-010-0326-3","title":"Locating a nearest matrix with an eigenvalue of prespecified algebraic multiplicity","display_name":"Locating a nearest matrix with an eigenvalue of prespecified algebraic multiplicity","publication_year":2010,"publication_date":"2010-08-25","ids":{"openalex":"https://openalex.org/W2104957738","doi":"https://doi.org/10.1007/s00211-010-0326-3","mag":"2104957738"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-010-0326-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-010-0326-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-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/A5024885694","display_name":"Emre Mengi","orcid":"https://orcid.org/0000-0003-0788-0066"},"institutions":[{"id":"https://openalex.org/I1351752","display_name":"Ko\u00e7 University","ror":"https://ror.org/00jzwgz36","country_code":"TR","type":"education","lineage":["https://openalex.org/I1351752"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Emre Mengi","raw_affiliation_strings":["Department of Mathematics, Koc University, Rumelifeneri Yolu, 34450, Sariyer, Istanbul, Turkey","Koc University, Department of Mathematics, Rumelifeneri Yolu, 34450, Sariyer, Istanbul, Turkey#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Koc University, Rumelifeneri Yolu, 34450, Sariyer, Istanbul, Turkey","institution_ids":["https://openalex.org/I1351752"]},{"raw_affiliation_string":"Koc University, Department of Mathematics, Rumelifeneri Yolu, 34450, Sariyer, Istanbul, Turkey#TAB#","institution_ids":["https://openalex.org/I1351752"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5024885694"],"corresponding_institution_ids":["https://openalex.org/I1351752"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.7218,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.84919806,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"118","issue":"1","first_page":"109","last_page":"135"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":1.0,"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":1.0,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9987000226974487,"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"}},{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9836000204086304,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.8401895761489868},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.8073754906654358},{"id":"https://openalex.org/keywords/singular-value","display_name":"Singular value","score":0.6577157974243164},{"id":"https://openalex.org/keywords/condition-number","display_name":"Condition number","score":0.5858609676361084},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5452301502227783},{"id":"https://openalex.org/keywords/multiplicity","display_name":"Multiplicity (mathematics)","score":0.5345619916915894},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.46100398898124695},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.45698976516723633},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.45039668679237366},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4300692677497864},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4168928563594818},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3570635914802551},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32602015137672424},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.059688031673431396},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.05784481763839722}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8401895761489868},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8073754906654358},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.6577157974243164},{"id":"https://openalex.org/C84545080","wikidata":"https://www.wikidata.org/wiki/Q1147936","display_name":"Condition number","level":3,"score":0.5858609676361084},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5452301502227783},{"id":"https://openalex.org/C156004811","wikidata":"https://www.wikidata.org/wiki/Q2228257","display_name":"Multiplicity (mathematics)","level":2,"score":0.5345619916915894},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.46100398898124695},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.45698976516723633},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.45039668679237366},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4300692677497864},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4168928563594818},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3570635914802551},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32602015137672424},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.059688031673431396},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.05784481763839722},{"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},{"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-010-0326-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-010-0326-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W33466849","https://openalex.org/W391578156","https://openalex.org/W594391557","https://openalex.org/W1506690472","https://openalex.org/W1523008036","https://openalex.org/W1575147392","https://openalex.org/W1966002591","https://openalex.org/W1969125683","https://openalex.org/W1975277883","https://openalex.org/W1981745143","https://openalex.org/W2001760418","https://openalex.org/W2013737143","https://openalex.org/W2026299065","https://openalex.org/W2047200029","https://openalex.org/W2050649877","https://openalex.org/W2051434435","https://openalex.org/W2063818606","https://openalex.org/W2079060621","https://openalex.org/W2092611373","https://openalex.org/W2103313140","https://openalex.org/W2113741278","https://openalex.org/W2128978199","https://openalex.org/W2134046186","https://openalex.org/W2139330196","https://openalex.org/W2330531400","https://openalex.org/W2350339098","https://openalex.org/W2610857016","https://openalex.org/W2616232956","https://openalex.org/W2798909945","https://openalex.org/W2962898795","https://openalex.org/W3022136271","https://openalex.org/W3114226425"],"related_works":["https://openalex.org/W2010762661","https://openalex.org/W2038812594","https://openalex.org/W2012714355","https://openalex.org/W1547958349","https://openalex.org/W2353424689","https://openalex.org/W2022830132","https://openalex.org/W2076297138","https://openalex.org/W2964003203","https://openalex.org/W1977765413","https://openalex.org/W1870098235"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}