{"id":"https://openalex.org/W1987613138","doi":"https://doi.org/10.1002/1099-1506(200005)7:4<197::aid-nla194>3.0.co;2-s","title":"Real valued iterative methods for solving complex symmetric linear systems","display_name":"Real valued iterative methods for solving complex symmetric linear systems","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1987613138","doi":"https://doi.org/10.1002/1099-1506(200005)7:4<197::aid-nla194>3.0.co;2-s","mag":"1987613138"},"language":"en","primary_location":{"id":"doi:10.1002/1099-1506(200005)7:4<197::aid-nla194>3.0.co;2-s","is_oa":false,"landing_page_url":"https://doi.org/10.1002/1099-1506(200005)7:4<197::aid-nla194>3.0.co;2-s","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Linear Algebra with 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/A5072235464","display_name":"Owe Axelsson","orcid":"https://orcid.org/0000-0001-8753-2429"},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Owe Axelsson","raw_affiliation_strings":["Department of Mathematics, University of Nijmegen, Toernooiveld 1, 6525 ED Nijmegen, The Netherlands","Department of Mathematics University of Nijmegen, Toernooiveld 1, 6525 ED Nijmegen, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Nijmegen, Toernooiveld 1, 6525 ED Nijmegen, The Netherlands","institution_ids":["https://openalex.org/I145872427"]},{"raw_affiliation_string":"Department of Mathematics University of Nijmegen, Toernooiveld 1, 6525 ED Nijmegen, The Netherlands","institution_ids":["https://openalex.org/I145872427"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010988703","display_name":"Andrey B. Kucherov","orcid":null},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Andrey Kucherov","raw_affiliation_strings":["Department of Computational Mathematics and Cybernetics, Moscow State University, 119899, Moscow, Russia","Department of Computational Mathematics and Cybernetics, Moscow State University, 119899 Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Department of Computational Mathematics and Cybernetics, Moscow State University, 119899, Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Department of Computational Mathematics and Cybernetics, Moscow State University, 119899 Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5010988703","https://openalex.org/A5072235464"],"corresponding_institution_ids":["https://openalex.org/I145872427","https://openalex.org/I19880235"],"apc_list":{"value":4430,"currency":"USD","value_usd":4430},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":209,"citation_normalized_percentile":{"value":0.12109577,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"7","issue":"4","first_page":"197","last_page":"218"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"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":0.9983999729156494,"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/mathematics","display_name":"Mathematics","score":0.8251965045928955},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.6718755960464478},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.6440932750701904},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5746402144432068},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5606564879417419},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5328429341316223},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.528083324432373},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5083293318748474},{"id":"https://openalex.org/keywords/system-of-linear-equations","display_name":"System of linear equations","score":0.4750654399394989},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4504682123661041},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.42156532406806946},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3431738317012787},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.30448561906814575},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.24144765734672546}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8251965045928955},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.6718755960464478},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.6440932750701904},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5746402144432068},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5606564879417419},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5328429341316223},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.528083324432373},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5083293318748474},{"id":"https://openalex.org/C94523830","wikidata":"https://www.wikidata.org/wiki/Q11203","display_name":"System of linear equations","level":2,"score":0.4750654399394989},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4504682123661041},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.42156532406806946},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3431738317012787},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.30448561906814575},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.24144765734672546},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/1099-1506(200005)7:4<197::aid-nla194>3.0.co;2-s","is_oa":false,"landing_page_url":"https://doi.org/10.1002/1099-1506(200005)7:4<197::aid-nla194>3.0.co;2-s","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Linear Algebra with Applications","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":25,"referenced_works":["https://openalex.org/W14303464","https://openalex.org/W35026418","https://openalex.org/W353421789","https://openalex.org/W1546004968","https://openalex.org/W1969067534","https://openalex.org/W1972523620","https://openalex.org/W1979921936","https://openalex.org/W1981885118","https://openalex.org/W1995504856","https://openalex.org/W2010916347","https://openalex.org/W2013208486","https://openalex.org/W2026121678","https://openalex.org/W2027716153","https://openalex.org/W2033542018","https://openalex.org/W2036353901","https://openalex.org/W2044180130","https://openalex.org/W2072835905","https://openalex.org/W2087817735","https://openalex.org/W2124766533","https://openalex.org/W2140153041","https://openalex.org/W2495079081","https://openalex.org/W4251423481","https://openalex.org/W4252434466","https://openalex.org/W6600543606","https://openalex.org/W6723207971"],"related_works":["https://openalex.org/W2500993308","https://openalex.org/W2366095940","https://openalex.org/W2978783905","https://openalex.org/W2035371040","https://openalex.org/W4293832276","https://openalex.org/W1999760939","https://openalex.org/W1980417461","https://openalex.org/W2353317030","https://openalex.org/W40680864","https://openalex.org/W3184983074"],"abstract_inverted_index":{"Complex":[0],"valued":[1,17,103],"systems":[2,74],"of":[3,41,50,75],"equations":[4],"with":[5],"a":[6],"matrix":[7,53,69],"R":[8,12,30],"+":[9],"1S":[10],"where":[11],"and":[13,31,37,79,90],"S":[14,32,43],"are":[15,33,64,93],"real":[16,102],"arise":[18],"in":[19],"many":[20],"applications.":[21],"A":[22],"preconditioned":[23,52],"iterative":[24,110],"solution":[25],"method":[26,104],"is":[27,44,54,105],"presented":[28],"when":[29,67],"symmetric":[34,112],"positive":[35,45],"semi-definite":[36],"at":[38],"least":[39],"one":[40],"R,":[42],"definite.":[46],"The":[47],"condition":[48],"number":[49],"the":[51,100,109],"bounded":[55],"above":[56],"by":[57],"2,":[58],"so":[59],"only":[60],"very":[61],"few":[62],"iterations":[63],"required.":[65],"Applications":[66],"solving":[68],"polynomial":[70],"equation":[71],"systems,":[72],"linear":[73],"ordinary":[76],"differential":[77],"equations,":[78],"using":[80],"time-stepping":[81],"integration":[82],"schemes":[83],"based":[84],"on":[85],"Pad\u00e9":[86],"approximation":[87],"for":[88],"parabolic":[89],"hyperbolic":[91],"problems":[92],"also":[94],"discussed.":[95],"Numerical":[96],"comparisons":[97],"show":[98],"that":[99],"proposed":[101],"much":[106],"faster":[107],"than":[108],"complex":[111],"QMR":[113],"method.":[114],"Copyright":[115],"\u00a9":[116],"2000":[117],"John":[118],"Wiley":[119],"&":[120],"Sons,":[121],"Ltd.":[122]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":21},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":19},{"year":2020,"cited_by_count":14},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":18},{"year":2017,"cited_by_count":17},{"year":2016,"cited_by_count":17},{"year":2015,"cited_by_count":15},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":15},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-17T18:11:37.981687","created_date":"2025-10-10T00:00:00"}
