{"id":"https://openalex.org/W2058984478","doi":"https://doi.org/10.1080/00207160701405451","title":"Global relaxed non-stationary multisplitting multi-parameter methods","display_name":"Global relaxed non-stationary multisplitting multi-parameter methods","publication_year":2008,"publication_date":"2008-02-01","ids":{"openalex":"https://openalex.org/W2058984478","doi":"https://doi.org/10.1080/00207160701405451","mag":"2058984478"},"language":"en","primary_location":{"id":"doi:10.1080/00207160701405451","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160701405451","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5101674465","display_name":"Litao Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li-Tao Zhang","raw_affiliation_strings":["\n School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054, P.R. China","School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, P.R. China#TAB#"],"affiliations":[{"raw_affiliation_string":"\n School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054, P.R. China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, P.R. China#TAB#","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065782725","display_name":"Ting\u2010Zhu Huang","orcid":"https://orcid.org/0000-0001-7766-230X"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ting-Zhu Huang","raw_affiliation_strings":["\n School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054, P.R. China","School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, P.R. China#TAB#"],"affiliations":[{"raw_affiliation_string":"\n School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054, P.R. China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, P.R. China#TAB#","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100858883","display_name":"Tong-Xiang Gu","orcid":"https://orcid.org/0000-0002-6175-7061"},"institutions":[{"id":"https://openalex.org/I126792128","display_name":"Institute of Applied Physics","ror":"https://ror.org/01km14z09","country_code":"UA","type":"facility","lineage":["https://openalex.org/I126792128","https://openalex.org/I149851306"]},{"id":"https://openalex.org/I4210145278","display_name":"Institute of Applied Physics and Computational Mathematics","ror":"https://ror.org/03sxpbt26","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210145278"]}],"countries":["CN","UA"],"is_corresponding":false,"raw_author_name":"Tong-Xiang Gu","raw_affiliation_strings":["\n National Key Lab of Comp. Phy., Institute of Applied Physics and Computational Mathematics, Beijing, 100088, P.R. China","National Key Lab of Comp. Phy., Institute of Applied Physics and Computational Mathematics, Beijing, P.R. China#TAB#"],"affiliations":[{"raw_affiliation_string":"\n National Key Lab of Comp. Phy., Institute of Applied Physics and Computational Mathematics, Beijing, 100088, P.R. China","institution_ids":["https://openalex.org/I126792128","https://openalex.org/I4210145278"]},{"raw_affiliation_string":"National Key Lab of Comp. Phy., Institute of Applied Physics and Computational Mathematics, Beijing, P.R. China#TAB#","institution_ids":["https://openalex.org/I4210145278"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065782725"],"corresponding_institution_ids":["https://openalex.org/I150229711"],"apc_list":null,"apc_paid":null,"fwci":1.2016,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.8003717,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"85","issue":"2","first_page":"211","last_page":"224"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9927999973297119,"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":0.9927999973297119,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9502000212669373,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9387000203132629,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/christian-ministry","display_name":"Christian ministry","score":0.6905452013015747},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5236377716064453},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5049486756324768},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45971205830574036},{"id":"https://openalex.org/keywords/foundation","display_name":"Foundation (evidence)","score":0.4531448781490326},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4402826428413391},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4267914295196533},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.36092710494995117},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.0817335844039917}],"concepts":[{"id":"https://openalex.org/C521751864","wikidata":"https://www.wikidata.org/wiki/Q1729207","display_name":"Christian ministry","level":2,"score":0.6905452013015747},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5236377716064453},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5049486756324768},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45971205830574036},{"id":"https://openalex.org/C2780966255","wikidata":"https://www.wikidata.org/wiki/Q5474306","display_name":"Foundation (evidence)","level":2,"score":0.4531448781490326},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4402826428413391},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4267914295196533},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.36092710494995117},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0817335844039917},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160701405451","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160701405451","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321106","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934"},{"id":"https://openalex.org/F4320334924","display_name":"Program for New Century Excellent Talents in University","ror":"https://ror.org/01mv9t934"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W125045533","https://openalex.org/W1500921805","https://openalex.org/W1575473552","https://openalex.org/W1970261865","https://openalex.org/W1976276100","https://openalex.org/W2004432435","https://openalex.org/W2009306753","https://openalex.org/W2053929147","https://openalex.org/W2064776809","https://openalex.org/W2077993933","https://openalex.org/W2093993556","https://openalex.org/W2155444267","https://openalex.org/W3035235874","https://openalex.org/W4252112222","https://openalex.org/W4256405312"],"related_works":["https://openalex.org/W2330033385","https://openalex.org/W2333921428","https://openalex.org/W182432352","https://openalex.org/W2330074134","https://openalex.org/W2323453316","https://openalex.org/W1990589763","https://openalex.org/W2323905228","https://openalex.org/W2328773836","https://openalex.org/W2381393187","https://openalex.org/W2332779545"],"abstract_inverted_index":{"Abstract":[0],"Based":[1],"on":[2],"the":[3,8,20,48,65,70,97],"local":[4],"relaxed":[5,10,25,33,50,68,87],"method":[6,11,29,54,88],"and":[7,18,99,104,121,138,142,144,149],"system":[9],"of":[12,36,47,114,117,125,128,140,151],"parallel":[13],"multisplitting":[14,27,52,83],"described":[15],"by":[16,30,57,112],"Frommer":[17],"Mayer,":[19],"paper":[21],"presents":[22],"a":[23,73],"global":[24,49],"non-stationary":[26,51,82],"multi-parameter":[28,53,84],"introducing":[31],"some":[32],"parameters.":[34],"Convergence":[35],"these":[37],"methods":[38,71],"when":[39,63],"coefficient":[40],"matrices":[41],"are":[42],"H-matrices":[43],"is":[44,55],"investigated.":[45],"Efficiency":[46],"shown":[56],"numerical":[58],"experiments.":[59],"These":[60],"indicate":[61],"that,":[62],"choosing":[64],"approximately":[66],"optimal":[67],"parameters,":[69],"have":[72],"faster":[74],"convergent":[75],"rate":[76],"than":[77],"previous":[78],"methods.":[79],"Keywords:":[80],"Relaxed":[81],"methodParallel":[85],"multisplittingGlobal":[86],"H-matrix":[89],"Acknowledgements":[90],"The":[91],"authors":[92],"would":[93],"like":[94],"to":[95],"thank":[96],"referees":[98],"editor":[100],"for":[101,107,134,146],"their":[102],"helpful":[103],"detailed":[105],"suggestions":[106],"revising":[108],"this":[109],"manuscript.":[110],"Supported":[111],"NCET":[113],"Chinese":[115,126],"ministry":[116,127],"education":[118,129],"(NCET-04-0893),":[119],"scientific":[120],"technological":[122],"key":[123],"project":[124,145],"(107098),":[130],"Sichuan":[131],"province":[132],"foundation":[133],"applied":[135],"basic":[136],"research":[137],"leader":[139,148],"sci.":[141],"tech.":[143],"academic":[147],"group":[150],"UESTC.":[152]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"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"}