{"id":"https://openalex.org/W2056860414","doi":"https://doi.org/10.1137/06066151x","title":"Efficient Preconditioning of Sequences of Nonsymmetric Linear Systems","display_name":"Efficient Preconditioning of Sequences of Nonsymmetric Linear Systems","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2056860414","doi":"https://doi.org/10.1137/06066151x","mag":"2056860414"},"language":"en","primary_location":{"id":"doi:10.1137/06066151x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/06066151x","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/A5022706753","display_name":"Jurjen Duintjer Tebbens","orcid":"https://orcid.org/0000-0003-0553-854X"},"institutions":[{"id":"https://openalex.org/I4210155092","display_name":"Czech Academy of Sciences, Institute of Computer Science","ror":"https://ror.org/0496n6574","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210155092"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Jurjen Duintjer Tebbens","raw_affiliation_strings":["Institute of Computer Science, Czech Academy of Sciences, Pod Vod\u00e1renskou v\u011b\u017e\u00ed 2, 18207 Praha 8, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, Czech Academy of Sciences, Pod Vod\u00e1renskou v\u011b\u017e\u00ed 2, 18207 Praha 8, Czech Republic","institution_ids":["https://openalex.org/I4210155092"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053422141","display_name":"Miroslav T\u016fma","orcid":"https://orcid.org/0000-0003-2808-6929"},"institutions":[{"id":"https://openalex.org/I4210155092","display_name":"Czech Academy of Sciences, Institute of Computer Science","ror":"https://ror.org/0496n6574","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210155092"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Miroslav T\u016fma","raw_affiliation_strings":["Institute of Computer Science, Czech Academy of Sciences, Pod Vod\u00e1renskou v\u011b\u017e\u00ed 2, 18207 Praha 8, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, Czech Academy of Sciences, Pod Vod\u00e1renskou v\u011b\u017e\u00ed 2, 18207 Praha 8, Czech Republic","institution_ids":["https://openalex.org/I4210155092"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022706753"],"corresponding_institution_ids":["https://openalex.org/I4210155092"],"apc_list":null,"apc_paid":null,"fwci":2.6335,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.89477527,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"29","issue":"5","first_page":"1918","last_page":"1941"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9988999962806702,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9973999857902527,"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/preconditioner","display_name":"Preconditioner","score":0.9584774971008301},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6756423711776733},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.6312187314033508},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.6308354735374451},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.6254030466079712},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6222006678581238},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5786470174789429},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.49800992012023926},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.481234073638916},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.47653207182884216},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4688136577606201},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38763442635536194},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2005445659160614},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09468182921409607},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06767433881759644}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.9584774971008301},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6756423711776733},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.6312187314033508},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.6308354735374451},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6254030466079712},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6222006678581238},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5786470174789429},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.49800992012023926},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.481234073638916},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.47653207182884216},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4688136577606201},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38763442635536194},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2005445659160614},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09468182921409607},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06767433881759644},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/06066151x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/06066151x","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:CiteSeerX.psu:10.1.1.123.2898","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.123.2898","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.cas.cz/~tuma/ps/tetu06.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322482","display_name":"Akademie V\u011bd \u010cesk\u00e9 Republiky","ror":"https://ror.org/053avzc18"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W612879516","https://openalex.org/W1555121104","https://openalex.org/W1562635932","https://openalex.org/W1963564197","https://openalex.org/W1965394225","https://openalex.org/W1965680834","https://openalex.org/W1969468690","https://openalex.org/W1972015017","https://openalex.org/W1975714268","https://openalex.org/W1977444623","https://openalex.org/W1977631509","https://openalex.org/W1977632218","https://openalex.org/W1981745143","https://openalex.org/W1985968347","https://openalex.org/W1986310461","https://openalex.org/W1998388190","https://openalex.org/W2001911203","https://openalex.org/W2008679491","https://openalex.org/W2013336356","https://openalex.org/W2017431061","https://openalex.org/W2017927472","https://openalex.org/W2022315116","https://openalex.org/W2024972953","https://openalex.org/W2035910846","https://openalex.org/W2036438040","https://openalex.org/W2040298674","https://openalex.org/W2040425799","https://openalex.org/W2041785146","https://openalex.org/W2041876368","https://openalex.org/W2046160677","https://openalex.org/W2050448951","https://openalex.org/W2058997431","https://openalex.org/W2069245506","https://openalex.org/W2069601896","https://openalex.org/W2069849438","https://openalex.org/W2072574577","https://openalex.org/W2073753111","https://openalex.org/W2088595843","https://openalex.org/W2089099677","https://openalex.org/W2093900303","https://openalex.org/W2094624803","https://openalex.org/W2095036901","https://openalex.org/W2099093654","https://openalex.org/W2122029698","https://openalex.org/W2126545861","https://openalex.org/W2130756427","https://openalex.org/W2135959058","https://openalex.org/W2140153041","https://openalex.org/W2143476164","https://openalex.org/W2151285346","https://openalex.org/W2153179908","https://openalex.org/W2155216327","https://openalex.org/W2160555573","https://openalex.org/W2164374667","https://openalex.org/W2171303908","https://openalex.org/W2222722372","https://openalex.org/W2246376430","https://openalex.org/W3030436175"],"related_works":["https://openalex.org/W4285325102","https://openalex.org/W1575783825","https://openalex.org/W2096346341","https://openalex.org/W2525981419","https://openalex.org/W3139004046","https://openalex.org/W4318200600","https://openalex.org/W2890462359","https://openalex.org/W4289542714","https://openalex.org/W2358739842","https://openalex.org/W2104711345"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,76,85,107],"new":[3],"approach":[4,20,58],"for":[5,12,80],"approximate":[6],"updates":[7,31,127],"of":[8,15,73,75,84,97,109,136],"factorized":[9],"nonsymmetric":[10],"preconditioners":[11,105],"solving":[13,81],"sequences":[14],"linear":[16],"algebraic":[17,22],"systems.":[18],"This":[19],"is":[21,25,53,66,135,145],"and":[23,35,42,131,151],"it":[24,65],"theoretically":[26],"motivated.":[27],"It":[28,52],"generalizes":[29],"diagonal":[30],"introduced":[32],"by":[33],"Benzi":[34],"Bertaccini":[36,43],"[BIT,":[37],"43":[38],"(2003),":[39],"pp.":[40,50],"231\u2013244]":[41],"[Electron.":[44],"Trans.":[45],"Numer.":[46],"Anal.,":[47],"18":[48],"(2004),":[49],"49\u201364].":[51],"shown":[54],"experimentally":[55],"that":[56],"this":[57],"can":[59,140],"be":[60],"very":[61],"beneficial.":[62],"For":[63],"example,":[64],"successful":[67],"in":[68,149],"significantly":[69],"decreasing":[70],"the":[71,91,94,98,103,117,126],"number":[72],"iterations":[74],"preconditioned":[77],"iterative":[78],"method":[79],"subsequent":[82],"systems":[83],"sequence":[86],"when":[87,120],"compared":[88],"with":[89,122],"freezing":[90],"preconditioner":[92],"from":[93],"first":[95],"system":[96],"sequence.":[99],"In":[100],"some":[101],"cases,":[102],"updated":[104],"offer":[106],"rate":[108,118],"convergence":[110],"similar":[111],"to":[112],"or":[113],"even":[114],"higher":[115],"than":[116],"obtained":[119],"preconditioning":[121],"recomputed":[123],"preconditioners.":[124],"Since":[125],"are":[128],"typically":[129],"cheap":[130],"straightforward,":[132],"their":[133],"use":[134],"practical":[137],"interest.":[138],"They":[139],"replace":[141],"recomputing":[142],"preconditioners,":[143],"which":[144],"often":[146],"expensive,":[147],"especially":[148],"parallel":[150],"matrix-free":[152],"environments.":[153]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":3}],"updated_date":"2026-03-13T16:22:10.518609","created_date":"2025-10-10T00:00:00"}