{"id":"https://openalex.org/W2031060827","doi":"https://doi.org/10.1137/0911051","title":"Efficient Polynomial Preconditioning for the Conjugate Gradient Method","display_name":"Efficient Polynomial Preconditioning for the Conjugate Gradient Method","publication_year":1990,"publication_date":"1990-09-01","ids":{"openalex":"https://openalex.org/W2031060827","doi":"https://doi.org/10.1137/0911051","mag":"2031060827"},"language":"en","primary_location":{"id":"doi:10.1137/0911051","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0911051","pdf_url":null,"source":{"id":"https://openalex.org/S4210181992","display_name":"SIAM Journal on Scientific and Statistical Computing","issn_l":"0196-5204","issn":["0196-5204","2168-3417"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 and Statistical 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/A5110701881","display_name":"Stanley C. Eisenstat","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"S. C. Eisenstat","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085333548","display_name":"James M. Ortega","orcid":"https://orcid.org/0009-0001-0170-5120"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. M. Ortega","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5081059242","display_name":"Courtenay Vaughan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"C. T. Vaughan","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110701881"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9612,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.73536365,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"11","issue":"5","first_page":"859","last_page":"872"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9991999864578247,"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":0.9991999864578247,"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":0.989799976348877,"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/T12303","display_name":"Tensor decomposition and applications","score":0.9866999983787537,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.8529319167137146},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6295995712280273},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6245880722999573},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6190078258514404},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5965054631233215},{"id":"https://openalex.org/keywords/conjugate","display_name":"Conjugate","score":0.5151675939559937},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.45839178562164307},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3253400921821594},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26163870096206665}],"concepts":[{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.8529319167137146},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6295995712280273},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6245880722999573},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6190078258514404},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5965054631233215},{"id":"https://openalex.org/C197336794","wikidata":"https://www.wikidata.org/wiki/Q5161150","display_name":"Conjugate","level":2,"score":0.5151675939559937},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.45839178562164307},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3253400921821594},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26163870096206665}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0911051","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0911051","pdf_url":null,"source":{"id":"https://openalex.org/S4210181992","display_name":"SIAM Journal on Scientific and Statistical Computing","issn_l":"0196-5204","issn":["0196-5204","2168-3417"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 and Statistical Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1493749856","https://openalex.org/W1964987772","https://openalex.org/W1967468998","https://openalex.org/W1995840766","https://openalex.org/W2010216152","https://openalex.org/W2021453599","https://openalex.org/W2024082733"],"related_works":["https://openalex.org/W2143004018","https://openalex.org/W2330362314","https://openalex.org/W2435669318","https://openalex.org/W2107387898","https://openalex.org/W1995639836","https://openalex.org/W2103568534","https://openalex.org/W1503783781","https://openalex.org/W2168224303","https://openalex.org/W2597023719","https://openalex.org/W2135528694"],"abstract_inverted_index":{"This":[0],"paper":[1],"formulates":[2],"and":[3,34,43,51,62,77,79,82],"compares":[4],"procedures":[5,22],"for":[6,28],"reducing":[7],"computation":[8],"in":[9,16,64],"carrying":[10],"out":[11],"m-step":[12],"or":[13],"polynomial":[14],"preconditioning":[15,30],"the":[17,87,91],"conjugate":[18],"gradient":[19],"method.":[20],"These":[21],"are":[23,70,100],"based":[24,72],"on":[25,73,96],"corresponding":[26],"ones":[27],"one-step":[29],"given":[31],"by":[32],"Bank":[33],"Douglas":[35],"[Appl.":[36],"Numer.":[37],"Math.,":[38,46],"1(1985),":[39],"pp.":[40,49,60],"489\u2013492],":[41],"Conrad":[42],"Wallach":[44],"[Numer.":[45],"27":[47],"(1979),":[48],"371\u2013372],":[50],"Eisenstat":[52,88],"[SIAM":[53],"J.":[54],"Sci.":[55],"Statist.":[56],"Comput.,":[57],"2":[58],"(1981),":[59],"1\u20134],":[61],"apply,":[63],"particular,":[65],"to":[66],"SSOR":[67],"preconditioning.":[68],"Comparisons":[69],"made":[71],"operation":[74],"counts,":[75],"storage,":[76],"parallel":[78,98],"vector":[80],"properties,":[81],"it":[83],"is":[84,90],"concluded":[85],"that":[86],"procedure":[89],"most":[92],"effective.":[93],"Numerical":[94],"experiments":[95],"a":[97],"computer":[99],"also":[101],"given.":[102]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}