{"id":"https://openalex.org/W3084370023","doi":"https://doi.org/10.1137/19m128452x","title":"A Parallel Augmented Subspace Method for Eigenvalue Problems","display_name":"A Parallel Augmented Subspace Method for Eigenvalue Problems","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3084370023","doi":"https://doi.org/10.1137/19m128452x","mag":"3084370023"},"language":"en","primary_location":{"id":"doi:10.1137/19m128452x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m128452x","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","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/A5103133317","display_name":"Fei Xu","orcid":"https://orcid.org/0000-0002-0246-981X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fei Xu","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-0246-981X","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052078853","display_name":"Hehu Xie","orcid":"https://orcid.org/0000-0002-1947-9256"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hehu Xie","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5072280593","display_name":"Ning Zhang","orcid":"https://orcid.org/0000-0001-8593-079X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ning Zhang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5748,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.80797971,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"42","issue":"5","first_page":"A2655","last_page":"A2677"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9987999796867371,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8227770328521729},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6311061978340149},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5611781477928162},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5199231505393982},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33267486095428467}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8227770328521729},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6311061978340149},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5611781477928162},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5199231505393982},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33267486095428467},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/19m128452x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m128452x","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1258155048","display_name":null,"funder_award_id":"TZ2016002","funder_id":"https://openalex.org/F4320336025","funder_display_name":"Science Challenge Project"},{"id":"https://openalex.org/G1424796134","display_name":null,"funder_award_id":"91730302","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1793060770","display_name":"\u7279\u5f81\u503c\u95ee\u9898\u7684\u4ee3\u6570\u591a\u91cd\u7f51\u683c\u7b97\u6cd5","funder_award_id":"11771434","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3653467223","display_name":null,"funder_award_id":"11801021","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7316687896","display_name":"\u76f8\u573a\u65b9\u7a0b\u7684\u9ad8\u6548\u6570\u503c\u7b97\u6cd5","funder_award_id":"11371026","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321133","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35"},{"id":"https://openalex.org/F4320336025","display_name":"Science Challenge Project","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1542736314","https://openalex.org/W1981792545","https://openalex.org/W1989473508","https://openalex.org/W2011655084","https://openalex.org/W2012818017","https://openalex.org/W2017085690","https://openalex.org/W2027009705","https://openalex.org/W2028357997","https://openalex.org/W2033653234","https://openalex.org/W2051142108","https://openalex.org/W2053107666","https://openalex.org/W2064625750","https://openalex.org/W2067159361","https://openalex.org/W2078308765","https://openalex.org/W2106311058","https://openalex.org/W2962890852","https://openalex.org/W2984061542","https://openalex.org/W3021975867"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W1980381208","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W1997716701"],"abstract_inverted_index":{"A":[0],"type":[1],"of":[2,23,109,139,149],"parallel":[3,103,163],"augmented":[4,164],"subspace":[5,165],"scheme":[6],"for":[7,78,86],"eigenvalue":[8,32,50,63,96],"problems":[9,47],"is":[10,38,60,135],"proposed":[11,151,162],"by":[12],"using":[13],"coarse":[14,24],"space":[15,25,37,68],"in":[16,26,34,65,101,130],"the":[17,21,27,31,35,42,66,70,76,79,89,102,128,131,136,147,150,161],"multigrid":[18,28,71],"method.":[19,153,166],"With":[20],"help":[22],"method,":[29],"solving":[30,41,64],"problem":[33,93,97],"finest":[36,67],"decomposed":[39],"into":[40],"standard":[43],"linear":[44,81],"boundary":[45,82,91],"value":[46,83,92],"and":[48,69,94,112],"very-low-dimensional":[49],"problems.":[51,84],"The":[52],"computational":[53],"efficiency":[54],"can":[55,73,98,145],"be":[56,99],"improved":[57],"since":[58,105,142],"there":[59,113],"no":[61,115],"direct":[62],"method":[72],"act":[74],"as":[75],"solver":[77],"deduced":[80],"Furthermore,":[85],"different":[87],"eigenvalues,":[88],"corresponding":[90],"low-dimensional":[95],"solved":[100],"way":[104],"they":[106],"are":[107,157],"independent":[108],"each":[110],"other":[111],"exists":[114],"data":[116],"exchanging.":[117],"This":[118,134],"property":[119],"means":[120],"that":[121],"we":[122],"do":[123,127],"not":[124],"need":[125],"to":[126,159],"orthogonalization":[129,144],"highest-dimensional":[132],"spaces.":[133],"main":[137],"aim":[138],"this":[140],"paper":[141],"avoiding":[143],"improve":[146],"scalability":[148],"numerical":[152,155],"Some":[154],"examples":[156],"provided":[158],"validate":[160]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}