iBet uBet web content aggregator. Adding the entire web to your favor.
iBet uBet web content aggregator. Adding the entire web to your favor.



Link to original content: https://api.openalex.org/works/doi:10.1002/NLA.2384
{"id":"https://openalex.org/W3045490416","doi":"https://doi.org/10.1002/nla.2384","title":"The Sherman\u2013Morrison\u2013Woodbury formula for generalized linear matrix equations and applications","display_name":"The Sherman\u2013Morrison\u2013Woodbury formula for generalized linear matrix equations and applications","publication_year":2021,"publication_date":"2021-05-06","ids":{"openalex":"https://openalex.org/W3045490416","doi":"https://doi.org/10.1002/nla.2384","mag":"3045490416"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/nla.2384","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://cris.unibo.it/bitstream/11585/838355/2/Numerical%20Linear%20Algebra%20App%20-%202021%20-%20Hao%20-%20The%20Sherman%20Morrison%20Woodbury%20formula%20for%20generalized%20linear%20matrix%20equations.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102846097","display_name":"Yue Hao","orcid":"https://orcid.org/0000-0002-9783-0371"},"institutions":[{"id":"https://openalex.org/I4210152533","display_name":"Lanzhou University of Finance and Economics","ror":"https://ror.org/04v7yv031","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210152533"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yue Hao","raw_affiliation_strings":["School of Mathematics and Statistics Lanzhou University Lanzhou PR China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics Lanzhou University Lanzhou PR China","institution_ids":["https://openalex.org/I4210152533"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081841768","display_name":"Valeria Simoncini","orcid":"https://orcid.org/0000-0003-0795-5865"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]},{"id":"https://openalex.org/I4210137033","display_name":"Istituto di Matematica Applicata e Tecnologie Informatiche","ror":"https://ror.org/03m0n3c07","country_code":"IT","type":"education","lineage":["https://openalex.org/I4210137033","https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Valeria Simoncini","raw_affiliation_strings":["Dipartimento di Matematica and AM2 Alma Mater Studiorum \u2010 Universit\u00e0 di Bologna and IMATI\u2010CNR Bologna Italia"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica and AM2 Alma Mater Studiorum \u2010 Universit\u00e0 di Bologna and IMATI\u2010CNR Bologna Italia","institution_ids":["https://openalex.org/I9360294","https://openalex.org/I4210137033"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102846097","https://openalex.org/A5081841768"],"corresponding_institution_ids":["https://openalex.org/I4210152533","https://openalex.org/I9360294","https://openalex.org/I4210137033"],"apc_list":{"value":4430,"currency":"USD","value_usd":4430,"provenance":"doaj"},"apc_paid":null,"fwci":0.78,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":7,"citation_normalized_percentile":{"value":0.803376,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":84,"max":85},"biblio":{"volume":"28","issue":"5","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Algorithms and Iterative Methods","score":0.9999,"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 Algorithms and Iterative Methods","score":0.9999,"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/T12303","display_name":"Tensor Decompositions and Applications in Multilinear Algebra","score":0.9996,"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"}},{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering with Integral Equations","score":0.9937,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.7162477},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6254267},{"id":"https://openalex.org/keywords/matrix-computations","display_name":"Matrix Computations","score":0.557565},{"id":"https://openalex.org/keywords/iterative-methods","display_name":"Iterative Methods","score":0.50795},{"id":"https://openalex.org/keywords/linear-equation","display_name":"Linear equation","score":0.49338785},{"id":"https://openalex.org/keywords/kronecker-product","display_name":"Kronecker product","score":0.4386335}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.75218713},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.7162477},{"id":"https://openalex.org/C39482219","wikidata":"https://www.wikidata.org/wiki/Q192826","display_name":"Kronecker delta","level":2,"score":0.70056343},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6254267},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49830484},{"id":"https://openalex.org/C77346573","wikidata":"https://www.wikidata.org/wiki/Q484637","display_name":"Linear equation","level":2,"score":0.49338785},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.4580246},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.44692913},{"id":"https://openalex.org/C46030957","wikidata":"https://www.wikidata.org/wiki/Q1238125","display_name":"Kronecker product","level":3,"score":0.4386335},{"id":"https://openalex.org/C94523830","wikidata":"https://www.wikidata.org/wiki/Q11203","display_name":"System of linear equations","level":2,"score":0.42596874},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37805223},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25049287},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22307262},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14455134},{"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":6,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/nla.2384","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://hdl.handle.net/11585/838355","pdf_url":"https://cris.unibo.it/bitstream/11585/838355/2/Numerical%20Linear%20Algebra%20App%20-%202021%20-%20Hao%20-%20The%20Sherman%20Morrison%20Woodbury%20formula%20for%20generalized%20linear%20matrix%20equations.pdf","source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":["Istituto di Ematologia di Bologna"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"https://hal.science/hal-02902455/file/SM_mat4.pdf","pdf_url":"https://hal.science/hal-02902455/file/SM_mat4.pdf","source":null,"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://hal.science/hal-02902455","pdf_url":"https://hal.science/hal-02902455/document","source":null,"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://hal.archives-ouvertes.fr/hal-02902455/document","pdf_url":"https://hal.archives-ouvertes.fr/hal-02902455/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":["Centre National de la Recherche Scientifique"],"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://hal.archives-ouvertes.fr/hal-02902455/file/SM_mat4.pdf","pdf_url":"https://hal.archives-ouvertes.fr/hal-02902455/file/SM_mat4.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://hdl.handle.net/11585/838355","pdf_url":"https://cris.unibo.it/bitstream/11585/838355/2/Numerical%20Linear%20Algebra%20App%20-%202021%20-%20Hao%20-%20The%20Sherman%20Morrison%20Woodbury%20formula%20for%20generalized%20linear%20matrix%20equations.pdf","source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":["Istituto di Ematologia di Bologna"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.58}],"grants":[{"funder":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China","award_id":"11471150"},{"funder":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council","award_id":"Contract No. 201906180033"}],"datasets":[],"versions":[],"referenced_works_count":49,"referenced_works":["https://openalex.org/W1512243664","https://openalex.org/W1591076264","https://openalex.org/W1963973528","https://openalex.org/W1967077133","https://openalex.org/W1973031292","https://openalex.org/W1978115611","https://openalex.org/W1979511352","https://openalex.org/W1981845727","https://openalex.org/W1986628177","https://openalex.org/W1989312874","https://openalex.org/W1989786408","https://openalex.org/W1993482030","https://openalex.org/W1999281516","https://openalex.org/W2002858896","https://openalex.org/W2015671498","https://openalex.org/W2024165284","https://openalex.org/W2036701498","https://openalex.org/W2040566538","https://openalex.org/W2066009815","https://openalex.org/W2075963501","https://openalex.org/W2078394884","https://openalex.org/W2079407403","https://openalex.org/W2084617396","https://openalex.org/W2086590360","https://openalex.org/W2088087394","https://openalex.org/W2088748973","https://openalex.org/W2090696580","https://openalex.org/W2094758737","https://openalex.org/W2104849640","https://openalex.org/W2108187211","https://openalex.org/W2135680841","https://openalex.org/W2139182243","https://openalex.org/W2162572068","https://openalex.org/W2166705945","https://openalex.org/W2255739630","https://openalex.org/W2480611454","https://openalex.org/W2541440312","https://openalex.org/W2618826795","https://openalex.org/W2810284221","https://openalex.org/W2964072105","https://openalex.org/W3022909171","https://openalex.org/W3044257681","https://openalex.org/W3107238783","https://openalex.org/W3194724868","https://openalex.org/W4243816112","https://openalex.org/W4293775970","https://openalex.org/W4312258136","https://openalex.org/W434969687","https://openalex.org/W990331194"],"related_works":["https://openalex.org/W577870507","https://openalex.org/W4375957393","https://openalex.org/W4233239985","https://openalex.org/W3102722572","https://openalex.org/W2117336295","https://openalex.org/W2090103374","https://openalex.org/W2079407403","https://openalex.org/W2073634779","https://openalex.org/W2060299328","https://openalex.org/W123417539"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"discuss":[2],"the":[3,12,59,65,69,74,112,115,123,126,130,133,153],"use":[4],"of":[5,52,68,106,114,122,132],"a":[6,96,141,159],"matrix\u2010oriented":[7,116],"approach":[8,56],"for":[9,145],"numerically":[10],"solving":[11],"dense":[13,84],"matrix":[14,75,155],"equation":[15,156],"AX":[16],"+":[17,20,25,27],"XA":[18],"T":[19],"M":[21,28,40],"1":[22,24],"XN":[23,30],"\u2026":[26,49],"\u2113":[29,31,36,51],"=":[32,47],"F":[33],",":[34,42,45,50],"with":[35,86,95],"\u2265":[37],"1,":[38,48],"and":[39,89,111],"i":[41,44,46],"N":[43],"low":[53],"rank.":[54],"The":[55,120],"relies":[57],"on":[58],"Sherman\u2013Morrison\u2013Woodbury":[60],"formula":[61],"formally":[62],"defined":[63],"in":[64,73,129],"vectorized":[66],"form":[67,108],"problem,":[70],"but":[71],"applied":[72],"setting.":[76],"This":[77],"allows":[78],"one":[79],"to":[80,102],"solve":[81],"medium":[82,103],"size":[83,104],"problems":[85,100],"computational":[87],"costs":[88],"memory":[90],"requirements":[91],"dramatically":[92],"lower":[93],"than":[94],"Kronecker":[97],"formulation.":[98],"Application":[99],"leading":[101],"equations":[105,148],"this":[107],"are":[109],"illustrated":[110],"performance":[113],"method":[117,144],"is":[118,136,149],"reported.":[119],"application":[121],"procedure":[124,157],"as":[125,158],"core":[127],"step":[128],"solution":[131],"large\u2010scale":[134],"problem":[135],"also":[137],"shown.":[138],"In":[139],"addition,":[140],"new":[142],"explicit":[143],"linear":[146],"tensor":[147],"proposed,":[150],"that":[151],"uses":[152],"discussed":[154],"key":[160],"building":[161],"block.":[162]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3045490416","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2024-10-09T17:29:55.031772","created_date":"2020-07-29"}