{"id":"https://openalex.org/W1965830406","doi":"https://doi.org/10.1137/0613010","title":"Best Cyclic Repartitioning for Optimal Successive Overrelaxation Convergence","display_name":"Best Cyclic Repartitioning for Optimal Successive Overrelaxation Convergence","publication_year":1992,"publication_date":"1992-01-01","ids":{"openalex":"https://openalex.org/W1965830406","doi":"https://doi.org/10.1137/0613010","mag":"1965830406"},"language":"en","primary_location":{"id":"doi:10.1137/0613010","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0613010","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/A5071591882","display_name":"S. Galanis","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sofoklis Galanis","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5019944397","display_name":"A. Hadjidimos","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Apostolos Hadjidimos","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.8694,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.90067421,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"13","issue":"1","first_page":"102","last_page":"120"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994999766349792,"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":0.9994999766349792,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9919999837875366,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.983299970626831,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/mathematics","display_name":"Mathematics","score":0.85125732421875},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.6937493681907654},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6187795400619507},{"id":"https://openalex.org/keywords/backslash","display_name":"Backslash","score":0.5677928924560547},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4939644932746887},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4800885319709778},{"id":"https://openalex.org/keywords/sigma","display_name":"Sigma","score":0.4651758372783661},{"id":"https://openalex.org/keywords/beta","display_name":"BETA (programming language)","score":0.43866661190986633},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.42811480164527893},{"id":"https://openalex.org/keywords/coefficient-matrix","display_name":"Coefficient matrix","score":0.4222666025161743},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3811626434326172},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3236781358718872},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.12226977944374084},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07659938931465149}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.85125732421875},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.6937493681907654},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6187795400619507},{"id":"https://openalex.org/C2780345915","wikidata":"https://www.wikidata.org/wiki/Q11185","display_name":"Backslash","level":2,"score":0.5677928924560547},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4939644932746887},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4800885319709778},{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.4651758372783661},{"id":"https://openalex.org/C2776174256","wikidata":"https://www.wikidata.org/wiki/Q830842","display_name":"BETA (programming language)","level":2,"score":0.43866661190986633},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.42811480164527893},{"id":"https://openalex.org/C60866291","wikidata":"https://www.wikidata.org/wiki/Q5140577","display_name":"Coefficient matrix","level":3,"score":0.4222666025161743},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3811626434326172},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3236781358718872},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.12226977944374084},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07659938931465149},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0613010","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0613010","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1972616929","https://openalex.org/W1973193879","https://openalex.org/W1979307860","https://openalex.org/W1992653386","https://openalex.org/W2022838819","https://openalex.org/W2046727959","https://openalex.org/W2073210089","https://openalex.org/W2075153281","https://openalex.org/W2079557221","https://openalex.org/W2089979798","https://openalex.org/W2251570181","https://openalex.org/W2328167433","https://openalex.org/W2569133694","https://openalex.org/W4299343067","https://openalex.org/W4300052396"],"related_works":["https://openalex.org/W1532878563","https://openalex.org/W2037738710","https://openalex.org/W1584148758","https://openalex.org/W2051403509","https://openalex.org/W4385417781","https://openalex.org/W2998530998","https://openalex.org/W2130795715","https://openalex.org/W2332399844","https://openalex.org/W1988602319","https://openalex.org/W3194345653"],"abstract_inverted_index":{"In":[0,26,84],"this":[1,85],"paper,":[2,86],"the":[3,9,36,42,53,58,72,78,81,87,93,103,130,142],"successive":[4],"overrelaxation":[5],"(SOR)":[6],"method":[7,76],"for":[8,77],"solution":[10,79],"of":[11,41,60,80,141],"a":[12,63],"linear":[13],"system":[14],"whose":[15],"matrix":[16,45],"coefficient":[17],"A":[18,50,61],"is":[19,24,57,90,126],"block":[20,43,64],"p-cyclic":[21],"consistently":[22],"ordered":[23],"discussed.":[25],"recent":[27],"works,":[28],"many":[29],"researchers":[30],"considered":[31,97,144],"some":[32],"\u201cnatural\u201d":[33],"assumptions":[34],"on":[35],"spectrum":[37],"$\\sigma":[38,105],"(J_p":[39],")$":[40],"Jacobi":[44],"$J_p":[46],"$":[47],"associated":[48],"with":[49],"and":[51],"answered":[52,91],"following":[54],"question:":[55],"What":[56],"repartitioning":[59],"into":[62],"q-cyclic":[65],"form":[66],"$(2\\leqq":[67],"q\\leqq":[68],"p)$":[69],"which":[70],"yields":[71],"best":[73],"optimal":[74],"SOR":[75],"given":[82],"system?":[83],"same":[88],"question":[89],"in":[92,132],"most":[94],"general":[95],"case":[96,143],"so":[98],"far,":[99],"that":[100,129],"is,":[101],"under":[102],"assumption":[104],"(J_p^p":[106],")":[107],"\\subset":[108,116],"[":[109],"-":[110],"\\alpha":[111],"^p":[112,114],",\\beta":[113,122],"]":[115],"\\mathbb{R}\\backslash":[117],"\\{":[118],"[1,\\infty":[119],")\\}":[120],",\\alpha":[121],"\\geqq":[123],"0$.":[124],"It":[125],"also":[127],"shown":[128],"results":[131],"all":[133],"previous":[134],"works":[135],"are":[136],"recovered":[137],"as":[138],"particular":[139],"subcases":[140],"here.":[145]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}