{"id":"https://openalex.org/W2026081587","doi":"https://doi.org/10.1137/140963479","title":"On Matrix Nearness Problems: Distance to Delocalization","display_name":"On Matrix Nearness Problems: Distance to Delocalization","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2026081587","doi":"https://doi.org/10.1137/140963479","mag":"2026081587"},"language":"en","primary_location":{"id":"doi:10.1137/140963479","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140963479","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","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/A5033481481","display_name":"Vladimir Kosti\u0107","orcid":"https://orcid.org/0000-0002-2876-8834"},"institutions":[{"id":"https://openalex.org/I170726198","display_name":"University of Novi Sad","ror":"https://ror.org/00xa57a59","country_code":"RS","type":"education","lineage":["https://openalex.org/I170726198"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Vladimir R. Kosti\u0107","raw_affiliation_strings":["University of Novi Sad"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Novi Sad","institution_ids":["https://openalex.org/I170726198"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050569594","display_name":"Agnieszka Mi\u0119dlar","orcid":"https://orcid.org/0000-0002-2995-7426"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Agnieszka Mi\u0229dlar","raw_affiliation_strings":["Computer Science and Engineering"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science and Engineering","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043004013","display_name":"Jeroen J. Stolwijk","orcid":null},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jeroen J. Stolwijk","raw_affiliation_strings":["Technical University of Berlin,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical University of Berlin,","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7058,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.73541238,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"36","issue":"2","first_page":"435","last_page":"460"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9970999956130981,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9904999732971191,"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/mathematics","display_name":"Mathematics","score":0.7218217253684998},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5879941582679749},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5722370147705078},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5719751119613647},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.5450757145881653},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.44494253396987915},{"id":"https://openalex.org/keywords/distance-matrices-in-phylogeny","display_name":"Distance matrices in phylogeny","score":0.4348060190677643},{"id":"https://openalex.org/keywords/complex-plane","display_name":"Complex plane","score":0.4331437051296234},{"id":"https://openalex.org/keywords/distance-matrix","display_name":"Distance matrix","score":0.4229316711425781},{"id":"https://openalex.org/keywords/singular-value","display_name":"Singular value","score":0.4125713109970093},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36471834778785706},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2227458655834198},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1829717755317688},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10010191798210144}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7218217253684998},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5879941582679749},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5722370147705078},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5719751119613647},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.5450757145881653},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.44494253396987915},{"id":"https://openalex.org/C5349765","wikidata":"https://www.wikidata.org/wiki/Q5282866","display_name":"Distance matrices in phylogeny","level":2,"score":0.4348060190677643},{"id":"https://openalex.org/C179117685","wikidata":"https://www.wikidata.org/wiki/Q328998","display_name":"Complex plane","level":2,"score":0.4331437051296234},{"id":"https://openalex.org/C111208986","wikidata":"https://www.wikidata.org/wiki/Q901698","display_name":"Distance matrix","level":2,"score":0.4229316711425781},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.4125713109970093},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36471834778785706},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2227458655834198},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1829717755317688},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10010191798210144},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/140963479","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140963479","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4000000059604645,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W175988912","https://openalex.org/W1592980365","https://openalex.org/W1606198627","https://openalex.org/W1900809491","https://openalex.org/W1966397236","https://openalex.org/W1969811075","https://openalex.org/W1988732861","https://openalex.org/W1988849934","https://openalex.org/W1998990712","https://openalex.org/W2006017464","https://openalex.org/W2012960907","https://openalex.org/W2040306605","https://openalex.org/W2047917018","https://openalex.org/W2050170750","https://openalex.org/W2063048505","https://openalex.org/W2086032695","https://openalex.org/W2087462091","https://openalex.org/W2090832914","https://openalex.org/W2100004457","https://openalex.org/W2105394264","https://openalex.org/W2110657969","https://openalex.org/W2115694492","https://openalex.org/W2128978199","https://openalex.org/W2144626348","https://openalex.org/W2156023353","https://openalex.org/W2156291021","https://openalex.org/W2161270533","https://openalex.org/W2168399503","https://openalex.org/W2798909945"],"related_works":["https://openalex.org/W2001076853","https://openalex.org/W1872375678","https://openalex.org/W4387171312","https://openalex.org/W2156304023","https://openalex.org/W4206923957","https://openalex.org/W2952169863","https://openalex.org/W1503817672","https://openalex.org/W1605858995","https://openalex.org/W1753959406","https://openalex.org/W4236196889"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,41,82,113,132,147,173],"introduce":[4,114],"a":[5,67,115,125],"new":[6,84],"matrix":[7,63],"nearness":[8],"problem":[9],"that":[10],"is":[11,64],"intended":[12],"to":[13,17,20,31,46,59,90,163,168],"generalize":[14],"the":[15,25,32,38,44,49,54,57,60,71,78,88,98,120,129,157,161,166,169,178],"distance":[16,45,58,89,162,167],"instability.":[18],"Due":[19],"its":[21],"applicability":[22],"in":[23,37,156],"analyzing":[24],"robustness":[26],"of":[27,74,97,119,128,153],"eigenvalues":[28],"with":[29],"respect":[30],"arbitrary":[33],"localization":[34,80,130],"sets":[35],"(domains)":[36],"complex":[39],"plane,":[40],"call":[42],"it":[43],"delocalization.":[47],"For":[48,110],"open":[50],"left":[51],"half-plane":[52],"or":[53],"unit":[55],"disk,":[56],"nearest":[61],"unstable":[62],"obtained":[65],"as":[66],"special":[68,116,158],"case.":[69],"Following":[70],"theoretical":[72],"framework":[73],"Hermitian":[75],"functions":[76],"and":[77,103],"Lyapunov-type":[79],"approach,":[81],"present":[83],"Newton-type":[85],"algorithms":[86,176],"for":[87,124],"delocalization:":[91],"first":[92],"using":[93,105],"an":[94,106,134],"explicit":[95],"computation":[96,108],"desired":[99],"singular":[100],"values":[101],"(eD2D),":[102],"then":[104],"implicit":[107],"(iD2D).":[109],"both":[111],"algorithms,":[112],"stabilization":[117],"technique":[118],"Newton":[121],"steps":[122],"and,":[123],"certain":[126],"class":[127],"domains,":[131],"provide":[133],"additional":[135],"globality":[136],"test.":[137],"Since":[138],"our":[139,149,175],"investigations":[140],"are":[141],"motivated":[142],"by":[143],"several":[144],"practical":[145],"applications,":[146],"illustrate":[148],"approach":[150],"on":[151],"some":[152],"them.":[154],"Furthermore,":[155],"case":[159],"when":[160],"delocalization":[164],"becomes":[165],"continuous":[170],"time":[171],"instability,":[172],"validate":[174],"against":[177],"state-of-the-art":[179],"computational":[180],"methods.":[181]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
