{"id":"https://openalex.org/W2963503936","doi":"https://doi.org/10.1109/access.2019.2930562","title":"A new Approach for the Modulus-Based Matrix Splitting Algorithms","display_name":"A new Approach for the Modulus-Based Matrix Splitting Algorithms","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2963503936","doi":"https://doi.org/10.1109/access.2019.2930562","mag":"2963503936"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2930562","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2930562","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08769837.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08769837.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100783233","display_name":"Wenpeng Wang","orcid":"https://orcid.org/0000-0002-1901-6868"},"institutions":[{"id":"https://openalex.org/I163340411","display_name":"Hohai University","ror":"https://ror.org/01wd4xt90","country_code":"CN","type":"education","lineage":["https://openalex.org/I163340411"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenpeng Wang","raw_affiliation_strings":["College of Computer and Information, Hohai University, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer and Information, Hohai University, Nanjing, China","institution_ids":["https://openalex.org/I163340411"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002445122","display_name":"Zhi Zhou","orcid":"https://orcid.org/0000-0002-3439-0313"},"institutions":[{"id":"https://openalex.org/I4210144143","display_name":"Inspur (China)","ror":"https://ror.org/0474p4r72","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210144143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhi Zhou","raw_affiliation_strings":["Government Information Headquarters, Inspur Software Group Company Ltd., Jinan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Government Information Headquarters, Inspur Software Group Company Ltd., Jinan, China","institution_ids":["https://openalex.org/I4210144143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010055370","display_name":"S. A. Edalatpanah","orcid":"https://orcid.org/0000-0001-9349-5695"},"institutions":[{"id":"https://openalex.org/I4210110345","display_name":"Tabaran Institute of Higher Education","ror":"https://ror.org/01qpg5w50","country_code":"IR","type":"education","lineage":["https://openalex.org/I4210110345"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"S. A. Edalatpanah","raw_affiliation_strings":["Department of Applied Mathematics, Ayandegan Institute of Higher Education, Tonekabon, Iran"],"raw_orcid":"https://orcid.org/0000-0001-9349-5695","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Ayandegan Institute of Higher Education, Tonekabon, Iran","institution_ids":["https://openalex.org/I4210110345"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084945555","display_name":"Esmaeil Najafi","orcid":"https://orcid.org/0000-0002-8734-5436"},"institutions":[{"id":"https://openalex.org/I110525433","display_name":"Islamic Azad University, Tehran","ror":"https://ror.org/01kzn7k21","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"S. E. Najafi","raw_affiliation_strings":["Department of Industrial Engineering, Islamic Azad University, Tehran, Iran"],"raw_orcid":"https://orcid.org/0000-0002-8734-5436","affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Islamic Azad University, Tehran, Iran","institution_ids":["https://openalex.org/I110525433"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1750,"currency":"USD","value_usd":1750},"apc_paid":{"value":1750,"currency":"USD","value_usd":1750},"fwci":0.5479,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.69495186,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":97},"biblio":{"volume":"7","issue":null,"first_page":"100143","last_page":"100146"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9940000176429749,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9527999758720398,"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/complementarity","display_name":"Complementarity (molecular biology)","score":0.7235506772994995},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6807505488395691},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6295955777168274},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5542541742324829},{"id":"https://openalex.org/keywords/modulus","display_name":"Modulus","score":0.5407273173332214},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5204418301582336},{"id":"https://openalex.org/keywords/linear-complementarity-problem","display_name":"Linear complementarity problem","score":0.5055181980133057},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.47583532333374023},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.4641730785369873},{"id":"https://openalex.org/keywords/mixed-complementarity-problem","display_name":"Mixed complementarity problem","score":0.4371081590652466},{"id":"https://openalex.org/keywords/complementarity-theory","display_name":"Complementarity theory","score":0.4138701558113098},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41383060812950134},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38398391008377075},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33834803104400635},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.10411086678504944},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.076864093542099},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06424915790557861}],"concepts":[{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.7235506772994995},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6807505488395691},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6295955777168274},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5542541742324829},{"id":"https://openalex.org/C193867417","wikidata":"https://www.wikidata.org/wiki/Q6889814","display_name":"Modulus","level":2,"score":0.5407273173332214},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5204418301582336},{"id":"https://openalex.org/C34320192","wikidata":"https://www.wikidata.org/wiki/Q783105","display_name":"Linear complementarity problem","level":3,"score":0.5055181980133057},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.47583532333374023},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.4641730785369873},{"id":"https://openalex.org/C77196050","wikidata":"https://www.wikidata.org/wiki/Q6883962","display_name":"Mixed complementarity problem","level":3,"score":0.4371081590652466},{"id":"https://openalex.org/C85404239","wikidata":"https://www.wikidata.org/wiki/Q5156417","display_name":"Complementarity theory","level":3,"score":0.4138701558113098},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41383060812950134},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38398391008377075},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33834803104400635},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.10411086678504944},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.076864093542099},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06424915790557861},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2019.2930562","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2930562","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08769837.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:33646276aac848929ff73693814d2ad7","is_oa":true,"landing_page_url":"https://doaj.org/article/33646276aac848929ff73693814d2ad7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 7, Pp 100143-100146 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2930562","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2930562","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08769837.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7508288166","display_name":null,"funder_award_id":"2018M632222","funder_id":"https://openalex.org/F4320325564","funder_display_name":"Hohai University"}],"funders":[{"id":"https://openalex.org/F4320325564","display_name":"Hohai University","ror":"https://ror.org/01wd4xt90"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2963503936.pdf","grobid_xml":"https://content.openalex.org/works/W2963503936.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1529274881","https://openalex.org/W1967438636","https://openalex.org/W1979337419","https://openalex.org/W1979551665","https://openalex.org/W1982337446","https://openalex.org/W1994910078","https://openalex.org/W2000151369","https://openalex.org/W2000998658","https://openalex.org/W2009744902","https://openalex.org/W2041144416","https://openalex.org/W2042388020","https://openalex.org/W2053415824","https://openalex.org/W2065455220","https://openalex.org/W2067465058","https://openalex.org/W2084083490","https://openalex.org/W2084672685","https://openalex.org/W2105831203","https://openalex.org/W2125382666","https://openalex.org/W2476614080","https://openalex.org/W2566482849","https://openalex.org/W2590540265","https://openalex.org/W2799919134","https://openalex.org/W2802955816","https://openalex.org/W2883892248","https://openalex.org/W2887313567","https://openalex.org/W2908290341","https://openalex.org/W2916397347","https://openalex.org/W2948315098","https://openalex.org/W2949031959","https://openalex.org/W4295016751","https://openalex.org/W4300549156"],"related_works":["https://openalex.org/W2276648117","https://openalex.org/W2063320018","https://openalex.org/W2042813889","https://openalex.org/W2358901572","https://openalex.org/W2028943836","https://openalex.org/W4220847489","https://openalex.org/W2091810828","https://openalex.org/W2567598518","https://openalex.org/W2735070409","https://openalex.org/W2181941970"],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2,10,26,45,49,61,67],"modulus-based":[3],"matrix":[4,53],"splitting":[5],"iteration":[6],"algorithms":[7,69],"for":[8,48],"solving":[9],"linear":[11],"complementarity":[12],"problems":[13],"(LCPs)":[14],"and":[15,31],"propose":[16],"a":[17],"new":[18,27,46],"model":[19,28],"to":[20,35,70],"solve":[21],"it.":[22],"The":[23,57],"structure":[24],"of":[25,38,40,44,60],"is":[29,54],"straightforward":[30],"can":[32],"be":[33],"extended":[34],"other":[36],"issues":[37],"type":[39],"complementarity.":[41],"Convergence":[42],"analysis":[43],"approach":[47,63],"symmetric":[50],"positive":[51],"definite":[52],"also":[55],"discussed.":[56],"numerical":[58],"results":[59],"proposed":[62],"are":[64],"compared":[65],"with":[66],"existing":[68],"show":[71],"its":[72],"efficiency.":[73]},"counts_by_year":[{"year":2020,"cited_by_count":3}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}