{"id":"https://openalex.org/W1964587600","doi":"https://doi.org/10.1137/080727695","title":"Adaptive Techniques for Improving the Performance of Incomplete Factorization Preconditioning","display_name":"Adaptive Techniques for Improving the Performance of Incomplete Factorization Preconditioning","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1964587600","doi":"https://doi.org/10.1137/080727695","mag":"1964587600"},"language":"en","primary_location":{"id":"doi:10.1137/080727695","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080727695","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/A5032560400","display_name":"Anshul Gupta","orcid":"https://orcid.org/0000-0003-3985-775X"},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anshul Gupta","raw_affiliation_strings":["anshul@watson.ibm.com#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"anshul@watson.ibm.com#TAB#","institution_ids":["https://openalex.org/I1341412227"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113680861","display_name":"Thomas George","orcid":null},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thomas George","raw_affiliation_strings":["tgeorge@cs.tamu.edu#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"tgeorge@cs.tamu.edu#TAB#","institution_ids":["https://openalex.org/I91045830"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.9197,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.90085283,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"32","issue":"1","first_page":"84","last_page":"110"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":1.0,"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":1.0,"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":0.9965999722480774,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9951000213623047,"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/preconditioner","display_name":"Preconditioner","score":0.8825468420982361},{"id":"https://openalex.org/keywords/incomplete-lu-factorization","display_name":"Incomplete LU factorization","score":0.8645340204238892},{"id":"https://openalex.org/keywords/incomplete-cholesky-factorization","display_name":"Incomplete Cholesky factorization","score":0.8462544679641724},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.7510697841644287},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6883116960525513},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6308921575546265},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5792053937911987},{"id":"https://openalex.org/keywords/positive-definiteness","display_name":"Positive definiteness","score":0.46580061316490173},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.43794625997543335},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.43052351474761963},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.42502760887145996},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4135148525238037},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39136552810668945},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.3526773452758789},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3472939133644104},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32779332995414734},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09471073746681213},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.06656980514526367}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.8825468420982361},{"id":"https://openalex.org/C134978465","wikidata":"https://www.wikidata.org/wiki/Q1654069","display_name":"Incomplete LU factorization","level":4,"score":0.8645340204238892},{"id":"https://openalex.org/C44363057","wikidata":"https://www.wikidata.org/wiki/Q6015160","display_name":"Incomplete Cholesky factorization","level":4,"score":0.8462544679641724},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.7510697841644287},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6883116960525513},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6308921575546265},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5792053937911987},{"id":"https://openalex.org/C2778265155","wikidata":"https://www.wikidata.org/wiki/Q7233276","display_name":"Positive definiteness","level":4,"score":0.46580061316490173},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.43794625997543335},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.43052351474761963},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.42502760887145996},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4135148525238037},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39136552810668945},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.3526773452758789},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3472939133644104},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32779332995414734},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09471073746681213},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.06656980514526367},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/080727695","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080727695","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"},{"id":"pmh:oai:oaktrust.library.tamu.edu:1969.1/179682","is_oa":false,"landing_page_url":"https://hdl.handle.net/1969.1/179682","pdf_url":null,"source":{"id":"https://openalex.org/S4306400291","display_name":"OakTrust (Texas A&M University Libraries)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I91045830","host_organization_name":"Texas A&M University","host_organization_lineage":["https://openalex.org/I91045830"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1969468690","https://openalex.org/W1970394924","https://openalex.org/W1970450084","https://openalex.org/W1972616929","https://openalex.org/W1977631509","https://openalex.org/W1981220107","https://openalex.org/W1981855233","https://openalex.org/W1985968347","https://openalex.org/W1986310461","https://openalex.org/W1989689661","https://openalex.org/W1998276913","https://openalex.org/W2002257715","https://openalex.org/W2002988981","https://openalex.org/W2010298350","https://openalex.org/W2013336356","https://openalex.org/W2018850201","https://openalex.org/W2022916138","https://openalex.org/W2026502086","https://openalex.org/W2027485220","https://openalex.org/W2029023151","https://openalex.org/W2029116634","https://openalex.org/W2031990962","https://openalex.org/W2038469228","https://openalex.org/W2039789965","https://openalex.org/W2040733945","https://openalex.org/W2046020107","https://openalex.org/W2048255281","https://openalex.org/W2057194215","https://openalex.org/W2057980100","https://openalex.org/W2059212379","https://openalex.org/W2061593509","https://openalex.org/W2063675347","https://openalex.org/W2069407056","https://openalex.org/W2073555064","https://openalex.org/W2077309453","https://openalex.org/W2078311192","https://openalex.org/W2079361963","https://openalex.org/W2082599981","https://openalex.org/W2088595843","https://openalex.org/W2099093654","https://openalex.org/W2101501830","https://openalex.org/W2140153041","https://openalex.org/W2149454052","https://openalex.org/W2164374667"],"related_works":["https://openalex.org/W2282105799","https://openalex.org/W1994991343","https://openalex.org/W2809896915","https://openalex.org/W2803869170","https://openalex.org/W2966631139","https://openalex.org/W1986651373","https://openalex.org/W2146296113","https://openalex.org/W2157073722","https://openalex.org/W2089099677","https://openalex.org/W2394244817"],"abstract_inverted_index":{"Three":[0],"techniques":[1,117,146],"for":[2,12,34,153],"improving":[3],"the":[4,43,47,51,57,73,96,100,104,122,132,135,144],"robustness":[5],"and":[6,50,72,106,109,138],"performance":[7,44],"of":[8,45,56,103,111,134,143],"incomplete":[9,35,112,140,150],"factorization":[10,36,113,152],"preconditioners":[11],"sparse":[13],"systems":[14,155],"with":[15],"symmetric":[16],"positive":[17],"definite":[18],"or":[19,127],"mildly":[20],"indefinite":[21],"coefficient":[22,136],"matrices":[23,61,77],"are":[24,91,147],"introduced.":[25,92],"The":[26],"primary":[27],"contribution":[28],"is":[29],"two":[30,83],"new":[31],"block":[32,66],"algorithms":[33,58],"that":[37,62],"result":[38],"in":[39,42,68],"an":[40],"improvement":[41],"both":[46],"preconditioner":[48,105],"generation":[49],"iterative":[52],"solution":[53],"phases.":[54],"One":[55],"applies":[59,75],"to":[60,76,149],"have":[63,118],"a":[64],"natural":[65,79],"structure":[67],"their":[69],"original":[70],"form,":[71],"other":[74],"without":[78],"dense":[80],"blocks.":[81],"Additionally,":[82],"relatively":[84],"simple":[85],"but":[86],"highly":[87],"effective":[88],"heuristic":[89],"strategies":[90],"These":[93],"include":[94],"selecting":[95],"solver":[97],"based":[98,130],"on":[99,131],"definiteness":[101],"properties":[102,133],"automatic":[107],"selection":[108],"tuning":[110],"parameters.":[114],"All":[115],"three":[116,145],"adaptive":[119],"components;":[120],"i.e.,":[121],"preconditioner-solver":[123],"combination":[124],"chooses":[125],"parameters":[126],"algorithmic":[128],"components":[129],"matrix":[137],"its":[139],"factors.":[141],"Two":[142],"applicable":[148],"LU":[151],"unsymmetric":[154],"as":[156],"well.":[157]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-08-27T14:10:00.468798","created_date":"2025-10-10T00:00:00"}