乐胖代购免代理版

{"id":"https://openalex.org/W3135719692","doi":"https://doi.org/10.1002/nla.2365","title":"A fast spectral divide\u2010and\u2010conquer method for banded matrices","display_name":"A fast spectral divide\u2010and\u2010conquer method for banded matrices","publication_year":2021,"publication_date":"2021-03-08","ids":{"openalex":"https://openalex.org/W3135719692","doi":"https://doi.org/10.1002/nla.2365","mag":"3135719692"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/nla.2365","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"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":"https://arxiv.org/pdf/1801.04175","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044047041","display_name":"Ana \u0160u\u0161njara","orcid":"https://orcid.org/0000-0003-1435-040X"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Ana \u0160u\u0161njara","raw_affiliation_strings":["MATH\u2010ANCHP \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne Lausanne Switzerland"],"affiliations":[{"raw_affiliation_string":"MATH\u2010ANCHP \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne Lausanne Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084601962","display_name":"Daniel Kre\u00dfner","orcid":"https://orcid.org/0000-0003-3369-2958"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Daniel Kressner","raw_affiliation_strings":["MATH\u2010ANCHP \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne Lausanne Switzerland"],"affiliations":[{"raw_affiliation_string":"MATH\u2010ANCHP \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne Lausanne Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5044047041"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":{"value":4430,"currency":"USD","value_usd":4430,"provenance":"doaj"},"apc_paid":null,"fwci":0.52,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.840571,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":76,"max":78},"biblio":{"volume":"28","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9987,"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":0.9987,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9941,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9931,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4848853},{"id":"https://openalex.org/keywords/diagonal-matrix","display_name":"Diagonal matrix","score":0.4417946}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7025312},{"id":"https://openalex.org/C71559656","wikidata":"https://www.wikidata.org/wiki/Q671298","display_name":"Divide and conquer algorithms","level":2,"score":0.6572495},{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.6441908},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.63421637},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5244732},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.5074186},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4848853},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.48247436},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.4417946},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11908579},{"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/10.1002/nla.2365","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1801.04175","pdf_url":"https://arxiv.org/pdf/1801.04175","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell 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":"https://arxiv.org/abs/1801.04175","pdf_url":"https://arxiv.org/pdf/1801.04175","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","award_id":null}],"datasets":[],"versions":[],"referenced_works_count":32,"referenced_works":["https://openalex.org/W106544777","https://openalex.org/W1970377488","https://openalex.org/W1985558698","https://openalex.org/W1987255606","https://openalex.org/W1996007839","https://openalex.org/W1997345811","https://openalex.org/W2035080386","https://openalex.org/W2039599184","https://openalex.org/W2044540053","https://openalex.org/W2045073555","https://openalex.org/W2053999255","https://openalex.org/W2054188927","https://openalex.org/W2058884681","https://openalex.org/W2059076129","https://openalex.org/W2072396164","https://openalex.org/W2080233464","https://openalex.org/W2104110430","https://openalex.org/W2111533539","https://openalex.org/W2117756735","https://openalex.org/W2158340520","https://openalex.org/W2188296733","https://openalex.org/W2298381282","https://openalex.org/W2347093389","https://openalex.org/W2583849828","https://openalex.org/W2893320574","https://openalex.org/W2962919798","https://openalex.org/W2963003687","https://openalex.org/W2974468415","https://openalex.org/W3022909171","https://openalex.org/W4300681438","https://openalex.org/W4312258136","https://openalex.org/W603018635"],"related_works":["https://openalex.org/W4384918718","https://openalex.org/W4285317199","https://openalex.org/W38983538","https://openalex.org/W2924468784","https://openalex.org/W2087913063","https://openalex.org/W2034598826","https://openalex.org/W2034395027","https://openalex.org/W2028994362","https://openalex.org/W1529195008","https://openalex.org/W1525824672"],"abstract_inverted_index":{"Abstract":[0],"Based":[1],"on":[2,65],"the":[3,25,38,50,66,73,85,110,114],"spectral":[4,70],"divide\u2010and\u2010conquer":[5,115],"algorithm":[6,21,98],"by":[7],"Nakatsukasa":[8],"and":[9,27,117],"Higham":[10],"[SIAM":[11],"J.":[12],"Sci.":[13],"Comput.,":[14],"35(3):A1325\u2013A1349,":[15],"2013],":[16],"we":[17,60],"propose":[18],"a":[19,30,43,77,82,89],"new":[20],"for":[22,80,84,102,119],"computing":[23],"all":[24],"eigenvalues":[26],"eigenvectors":[28,39],"of":[29,45,69,87],"symmetric":[31],"banded":[32],"matrix":[33],"with":[34,37,76,122],"small":[35],"bandwidth,":[36],"given":[40],"implicitly":[41],"as":[42],"product":[44],"orthonormal":[46],"matrices":[47,103],"stored":[48],"in":[49,72,109],"so\u2010called":[51],"hierarchically":[52],"off\u2010diagonal":[53],"low\u2010rank":[54],"(HODLR)":[55],"format.":[56],"For":[57],"this":[58],"purpose,":[59],"combine":[61],"our":[62,97],"previous":[63],"work":[64],"fast":[67],"computation":[68],"projectors":[71],"HODLR":[74,90,111],"format,":[75],"novel":[78],"technique":[79],"extracting":[81],"basis":[83],"range":[86],"such":[88,123],"matrix.":[91],"Preliminary":[92],"numerical":[93],"experiments":[94],"demonstrate":[95],"that":[96,104],"exhibits":[99],"quasi\u2010linear":[100],"complexity":[101],"can":[105],"be":[106],"efficiently":[107],"represented":[108],"format":[112],"throughout":[113],"algorithm,":[116],"allows":[118],"conveniently":[120],"dealing":[121],"large\u2010scale":[124],"matrices.":[125]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3135719692","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-01-16T01:01:42.103636","created_date":"2021-03-15"}