乐胖代购免代理版

{"id":"https://openalex.org/W2034510902","doi":"https://doi.org/10.1137/050633792","title":"Accurate Symmetric Rank Revealing and Eigendecompositions of Symmetric Structured Matrices","display_name":"Accurate Symmetric Rank Revealing and Eigendecompositions of Symmetric Structured Matrices","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2034510902","doi":"https://doi.org/10.1137/050633792","mag":"2034510902"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/050633792","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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://math.mit.edu/~plamen/files/symCVT2.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076369577","display_name":"Froil\u00e1n M. Dopico","orcid":"https://orcid.org/0000-0001-7779-8960"},"institutions":[{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"education","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Froil\u00e1n M. Dopico","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Universidad Carlos III de Madrid, Avda. Universidad 30, 28911 Legan\u00e9s, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad Carlos III de Madrid, Avda. Universidad 30, 28911 Legan\u00e9s, Spain","institution_ids":["https://openalex.org/I50357001"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008469896","display_name":"Plamen Koev","orcid":"https://orcid.org/0000-0002-8825-7657"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Plamen Koev","raw_affiliation_strings":["Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139","institution_ids":["https://openalex.org/I63966007"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.122,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":33,"citation_normalized_percentile":{"value":0.936441,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":91},"biblio":{"volume":"28","issue":"4","first_page":"1126","last_page":"1156"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9983,"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":0.9983,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9952,"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":0.9943,"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/vandermonde-matrix","display_name":"Vandermonde matrix","score":0.74399847},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.653368},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.50385135}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8671094},{"id":"https://openalex.org/C55294529","wikidata":"https://www.wikidata.org/wiki/Q579544","display_name":"Vandermonde matrix","level":3,"score":0.74399847},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6557482},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.653368},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.6262112},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5431534},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.50385135},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/050633792","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":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.135.6924","pdf_url":"http://math.mit.edu/~plamen/files/symCVT2.pdf","source":{"id":"https://openalex.org/S4306400349","display_name":"CiteSeer X (The Pennsylvania State University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I130769515","host_organization_name":"Pennsylvania State University","host_organization_lineage":["https://openalex.org/I130769515"],"host_organization_lineage_names":["Pennsylvania State University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.135.6924","pdf_url":"http://math.mit.edu/~plamen/files/symCVT2.pdf","source":{"id":"https://openalex.org/S4306400349","display_name":"CiteSeer X (The Pennsylvania State University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I130769515","host_organization_name":"Pennsylvania State University","host_organization_lineage":["https://openalex.org/I130769515"],"host_organization_lineage_names":["Pennsylvania State University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":32,"referenced_works":["https://openalex.org/W1480928214","https://openalex.org/W1515174878","https://openalex.org/W1593443060","https://openalex.org/W1760551737","https://openalex.org/W1978905317","https://openalex.org/W1981745143","https://openalex.org/W1995393679","https://openalex.org/W2000614097","https://openalex.org/W2003670573","https://openalex.org/W2039937805","https://openalex.org/W2049795383","https://openalex.org/W2053270331","https://openalex.org/W2054260755","https://openalex.org/W2054643050","https://openalex.org/W2054663063","https://openalex.org/W2060452389","https://openalex.org/W2068844053","https://openalex.org/W2094302535","https://openalex.org/W2099781564","https://openalex.org/W2100510181","https://openalex.org/W2104250481","https://openalex.org/W2117419843","https://openalex.org/W2128586796","https://openalex.org/W2128978199","https://openalex.org/W2156065590","https://openalex.org/W2158200065","https://openalex.org/W2342316458","https://openalex.org/W2798909945","https://openalex.org/W3022909171","https://openalex.org/W4237384699","https://openalex.org/W50638871","https://openalex.org/W614920821"],"related_works":["https://openalex.org/W4230208105","https://openalex.org/W3199374715","https://openalex.org/W2972830027","https://openalex.org/W2356738539","https://openalex.org/W2153987743","https://openalex.org/W2021807083","https://openalex.org/W2011934951","https://openalex.org/W1985027133","https://openalex.org/W1980219228","https://openalex.org/W1977664185"],"abstract_inverted_index":{"We":[0],"present":[1],"new":[2],"$O(n^3)$":[3],"algorithms":[4,48,77],"that":[5],"compute":[6],"eigenvalues":[7,84],"and":[8,32,70,85,104],"eigenvectors":[9],"to":[10,66,78,81],"high":[11,67],"relative":[12,68],"accuracy":[13],"in":[14,93],"floating":[15],"point":[16],"arithmetic":[17],"for":[18],"the":[19,54,64,71,83,98,102,105],"following":[20],"types":[21],"of":[22,43,63,101,107],"matrices:":[23],"symmetric":[24,26,30,33,59],"Cauchy,":[25,29],"diagonally":[27],"scaled":[28],"Vandermonde,":[31],"totally":[34],"nonnegative":[35,44],"matrices":[36],"when":[37],"they":[38],"are":[39,49,90],"given":[40],"as":[41,97],"products":[42],"bidiagonal":[45],"factors.":[46],"The":[47],"divided":[50],"into":[51],"two":[52],"stages:":[53],"first":[55],"stage":[56,73],"computes":[57],"a":[58,108,111],"rank":[60,103],"revealing":[61,88],"decomposition":[62,80],"matrix":[65,109,112],"accuracy,":[69],"second":[72],"applies":[74],"previously":[75],"existing":[76],"this":[79],"get":[82],"eigenvectors.":[86],"Rank":[87],"decompositions":[89],"also":[91],"interesting":[92],"other":[94],"problems,":[95],"such":[96],"numerical":[99],"determination":[100],"approximation":[106],"by":[110],"with":[113],"smaller":[114],"rank.":[115]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2034510902","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":2}],"updated_date":"2025-01-19T13:33:55.393409","created_date":"2016-06-24"}