{"id":"https://openalex.org/W3157285840","doi":"https://doi.org/10.1137/20m1316445","title":"A Power Schur Complement Low-Rank Correction Preconditioner for General Sparse Linear Systems","display_name":"A Power Schur Complement Low-Rank Correction Preconditioner for General Sparse Linear Systems","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3157285840","doi":"https://doi.org/10.1137/20m1316445","mag":"3157285840"},"language":"en","primary_location":{"id":"doi:10.1137/20m1316445","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1316445","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","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/A5101626262","display_name":"Qingqing Zheng","orcid":"https://orcid.org/0000-0003-0795-8193"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingqing Zheng","raw_affiliation_strings":["Tsinghua University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tsinghua University","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056635728","display_name":"Yuanzhe Xi","orcid":"https://orcid.org/0000-0003-0361-0931"},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yuanzhe Xi","raw_affiliation_strings":["Emory University"],"raw_orcid":"https://orcid.org/0000-0003-0361-0931","affiliations":[{"raw_affiliation_string":"Emory University","institution_ids":["https://openalex.org/I150468666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016419713","display_name":"Yousef Saad","orcid":"https://orcid.org/0000-0002-8614-5360"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yousef Saad","raw_affiliation_strings":["Computer Science and Engineering"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science and Engineering","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2811,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.79493043,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"42","issue":"2","first_page":"659","last_page":"682"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9991999864578247,"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/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"}},{"id":"https://openalex.org/T10363","display_name":"Low-power high-performance VLSI design","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/preconditioner","display_name":"Preconditioner","score":0.9143630266189575},{"id":"https://openalex.org/keywords/schur-complement","display_name":"Schur complement","score":0.7483583688735962},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.7273014783859253},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.7201640009880066},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6768977642059326},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.5761335492134094},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.47398415207862854},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.4703942537307739},{"id":"https://openalex.org/keywords/schurs-theorem","display_name":"Schur's theorem","score":0.45409104228019714},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.29770559072494507},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.25030994415283203},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09992018342018127},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.08920145034790039},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.058733999729156494}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.9143630266189575},{"id":"https://openalex.org/C2731191","wikidata":"https://www.wikidata.org/wiki/Q1778169","display_name":"Schur complement","level":3,"score":0.7483583688735962},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.7273014783859253},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.7201640009880066},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6768977642059326},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.5761335492134094},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.47398415207862854},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.4703942537307739},{"id":"https://openalex.org/C29701004","wikidata":"https://www.wikidata.org/wiki/Q1786292","display_name":"Schur's theorem","level":5,"score":0.45409104228019714},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.29770559072494507},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.25030994415283203},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09992018342018127},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.08920145034790039},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.058733999729156494},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.0},{"id":"https://openalex.org/C78540521","wikidata":"https://www.wikidata.org/wiki/Q1498246","display_name":"Gegenbauer polynomials","level":4,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/20m1316445","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1316445","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6953194808","display_name":null,"funder_award_id":"12001311","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7805918262","display_name":null,"funder_award_id":"OAC-2003720","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G981651496","display_name":null,"funder_award_id":"DMS-1912048","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322392","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549"},{"id":"https://openalex.org/F4320333927","display_name":"Minnesota Supercomputing Institute, University of Minnesota","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1216695915","https://openalex.org/W1559275088","https://openalex.org/W1712535590","https://openalex.org/W1965394225","https://openalex.org/W1986652366","https://openalex.org/W2010717035","https://openalex.org/W2024615455","https://openalex.org/W2031528426","https://openalex.org/W2035080386","https://openalex.org/W2036564429","https://openalex.org/W2038516134","https://openalex.org/W2070232376","https://openalex.org/W2075490698","https://openalex.org/W2078311192","https://openalex.org/W2078645506","https://openalex.org/W2160774872","https://openalex.org/W2164374667","https://openalex.org/W2290288665","https://openalex.org/W2523571399","https://openalex.org/W2542454984","https://openalex.org/W2607498875","https://openalex.org/W2690223459","https://openalex.org/W2766227949","https://openalex.org/W2784373029","https://openalex.org/W2883768998","https://openalex.org/W2907265372","https://openalex.org/W2962745910","https://openalex.org/W2962850972","https://openalex.org/W2962947578","https://openalex.org/W2999164036","https://openalex.org/W4289772929","https://openalex.org/W4294988936"],"related_works":["https://openalex.org/W4229577910","https://openalex.org/W3046775784","https://openalex.org/W2382988560","https://openalex.org/W2800324324","https://openalex.org/W2024149451","https://openalex.org/W2640255794","https://openalex.org/W3031624508","https://openalex.org/W2026707481","https://openalex.org/W2277328098","https://openalex.org/W2791597622"],"abstract_inverted_index":{"Related":[0],"DatabasesWeb":[1],"of":[2],"Science":[3],"You":[4],"must":[5],"be":[6],"logged":[7],"in":[8],"with":[9],"an":[10],"active":[11],"subscription":[12],"to":[13],"view":[14],"this.Article":[15],"DataHistorySubmitted:":[16],"31":[17],"January":[18,21],"2020Accepted:":[19],"05":[20],"2021Published":[22],"online:":[23],"27":[24],"April":[25],"2021Keywordslow-rank":[26],"correction,":[27],"Schur":[28],"complement,":[29],"power":[30],"series":[31],"expansion,":[32],"domain":[33],"decomposition,":[34],"parallel":[35],"preconditioner,":[36],"Krylov":[37],"subspace":[38],"methodAMS":[39],"Subject":[40],"Headings65F10Publication":[41],"DataISSN":[42],"(print):":[43],"0895-4798ISSN":[44],"(online):":[45],"1095-7162Publisher:":[46],"Society":[47],"for":[48],"Industrial":[49],"and":[50],"Applied":[51],"MathematicsCODEN:":[52],"sjmael":[53]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}