乐胖代购免代理版

{"id":"https://openalex.org/W2963968339","doi":"https://doi.org/10.1137/17m1161038","title":"Low-Rank Updates and a Divide-And-Conquer Method for Linear Matrix Equations","display_name":"Low-Rank Updates and a Divide-And-Conquer Method for Linear Matrix Equations","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2963968339","doi":"https://doi.org/10.1137/17m1161038","mag":"2963968339"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1161038","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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":"https://arpi.unipi.it/bitstream/11568/990430.4/1/17m1161038.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","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":["EPFL, Lausanne, CH-1015, Switzerland"],"affiliations":[{"raw_affiliation_string":"EPFL, Lausanne, CH-1015, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030708699","display_name":"Stefano Massei","orcid":"https://orcid.org/0000-0003-1813-4181"},"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":"Stefano Massei","raw_affiliation_strings":["EPFL, Lausanne, CH-1015, Switzerland"],"affiliations":[{"raw_affiliation_string":"EPFL, Lausanne, CH-1015, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049219826","display_name":"Leonardo Robol","orcid":"https://orcid.org/0000-0002-6545-1748"},"institutions":[{"id":"https://openalex.org/I122991210","display_name":"Istituto di Scienza e Tecnologie dell'Informazione \"Alessandro Faedo\"","ror":"https://ror.org/05kacka20","country_code":"IT","type":"facility","lineage":["https://openalex.org/I122991210","https://openalex.org/I4210155236"]},{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Leonardo Robol","raw_affiliation_strings":["Department of Mathematics, University of Pisa, and ISTI-CNR, Pisa, Italy 56124"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Pisa, and ISTI-CNR, Pisa, Italy 56124","institution_ids":["https://openalex.org/I122991210","https://openalex.org/I108290504"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.469,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":28,"citation_normalized_percentile":{"value":0.999885,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":94},"biblio":{"volume":"41","issue":"2","first_page":"A848","last_page":"A876"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9993,"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":0.9993,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.996,"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"}},{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9858,"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/rank","display_name":"Rank (graph theory)","score":0.5531345},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5524124},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.4327848},{"id":"https://openalex.org/keywords/coefficient-matrix","display_name":"Coefficient matrix","score":0.41092712}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.73662806},{"id":"https://openalex.org/C71559656","wikidata":"https://www.wikidata.org/wiki/Q671298","display_name":"Divide and conquer algorithms","level":2,"score":0.6895657},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5531345},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5524124},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.471728},{"id":"https://openalex.org/C94523830","wikidata":"https://www.wikidata.org/wiki/Q11203","display_name":"System of linear equations","level":2,"score":0.47155857},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.4327848},{"id":"https://openalex.org/C60866291","wikidata":"https://www.wikidata.org/wiki/Q5140577","display_name":"Coefficient matrix","level":3,"score":0.41092712},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25719148},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20747024},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.16010183},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.11174646},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":3,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1161038","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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://hdl.handle.net/11568/990430","pdf_url":"https://arpi.unipi.it/bitstream/11568/990430.4/1/17m1161038.pdf","source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":["University of Pisa"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1712.04349","pdf_url":"https://arxiv.org/pdf/1712.04349","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":"http://hdl.handle.net/11568/990430","pdf_url":"https://arpi.unipi.it/bitstream/11568/990430.4/1/17m1161038.pdf","source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":["University of Pisa"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":42,"referenced_works":["https://openalex.org/W1964200011","https://openalex.org/W1967074600","https://openalex.org/W1973915465","https://openalex.org/W1978115611","https://openalex.org/W1985242550","https://openalex.org/W1986448409","https://openalex.org/W1988221840","https://openalex.org/W1989312874","https://openalex.org/W1993166243","https://openalex.org/W2009253094","https://openalex.org/W2016075148","https://openalex.org/W2024384195","https://openalex.org/W2028247581","https://openalex.org/W2034274983","https://openalex.org/W2036701498","https://openalex.org/W2037025184","https://openalex.org/W2041118838","https://openalex.org/W2043597843","https://openalex.org/W2057149378","https://openalex.org/W2066409146","https://openalex.org/W2073389244","https://openalex.org/W2079566721","https://openalex.org/W2083095625","https://openalex.org/W2085498745","https://openalex.org/W2088748973","https://openalex.org/W2089958289","https://openalex.org/W2090696580","https://openalex.org/W2091078728","https://openalex.org/W2103860386","https://openalex.org/W2162144261","https://openalex.org/W2169328438","https://openalex.org/W2188296733","https://openalex.org/W2198697385","https://openalex.org/W2480611454","https://openalex.org/W2491066667","https://openalex.org/W2541440312","https://openalex.org/W2556939841","https://openalex.org/W2732088868","https://openalex.org/W2963199603","https://openalex.org/W2963214590","https://openalex.org/W2963943192","https://openalex.org/W2964072105"],"related_works":["https://openalex.org/W49222088","https://openalex.org/W3023975162","https://openalex.org/W2987922230","https://openalex.org/W2523223499","https://openalex.org/W2506892714","https://openalex.org/W2491524947","https://openalex.org/W2373840130","https://openalex.org/W2088075613","https://openalex.org/W2022937604","https://openalex.org/W1984976155"],"abstract_inverted_index":{"Linear":[0],"matrix":[1,59,99],"equations,":[2,9],"such":[3,57,108],"as":[4,109],"the":[5,18,30,54,77,90,122],"Sylvester":[6],"and":[7,21,29,41,116,134],"Lyapunov":[8],"play":[10],"an":[11],"important":[12],"role":[13],"in":[14,129],"various":[15],"applications,":[16],"including":[17],"stability":[19],"analysis":[20],"dimensionality":[22],"reduction":[23],"of":[24,32,56,92,124,131],"linear":[25,98],"dynamical":[26],"control":[27],"systems":[28],"solution":[31,55],"partial":[33],"differential":[34],"equations.":[35,85],"In":[36],"this":[37],"work,":[38],"we":[39],"present":[40],"analyze":[42],"a":[43,58,93],"new":[44,94],"algorithm,":[45],"based":[46],"on":[47],"tensorized":[48],"Krylov":[49],"subspaces,":[50],"for":[51,80,97],"quickly":[52],"updating":[53],"equation":[60],"when":[61],"its":[62],"coefficients":[63,102],"undergo":[64],"low-rank":[65,106,112],"changes.":[66],"We":[67],"demonstrate":[68,121],"how":[69],"our":[70],"algorithm":[71,87],"can":[72],"be":[73],"utilized":[74],"to":[75],"accelerate":[76],"Newton":[78],"method":[79],"solving":[81],"continuous-time":[82],"algebraic":[83],"Riccati":[84],"Our":[86],"also":[88],"forms":[89],"basis":[91],"divide-and-conquer":[95,125],"approach":[96],"equations":[100],"with":[101],"that":[103],"feature":[104],"hierarchical":[105],"structure,":[107],"hierarchically":[110,114],"off-diagonal":[111],"structures,":[113],"semiseparable,":[115],"banded":[117],"matrices.":[118],"Numerical":[119],"experiments":[120],"advantages":[123],"over":[126],"existing":[127],"approaches,":[128],"terms":[130],"computational":[132],"time":[133],"memory":[135],"consumption.":[136]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2963968339","counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":1}],"updated_date":"2025-01-06T20:42:24.023378","created_date":"2019-07-30"}