{"id":"https://openalex.org/W4287578624","doi":"https://doi.org/10.1155/2022/2828457","title":"Numerical Solution of the Absolute Value Equation Using Modified Iteration Methods","display_name":"Numerical Solution of the Absolute Value Equation Using Modified Iteration Methods","publication_year":2022,"publication_date":"2022-07-25","ids":{"openalex":"https://openalex.org/W4287578624","doi":"https://doi.org/10.1155/2022/2828457"},"language":"en","primary_location":{"id":"doi:10.1155/2022/2828457","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/2828457","pdf_url":"https://downloads.hindawi.com/journals/cmm/2022/2828457.pdf","source":{"id":"https://openalex.org/S4210240678","display_name":"Computational and Mathematical Methods","issn_l":"2577-7408","issn":["2577-7408"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Mathematical Methods","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/cmm/2022/2828457.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056139430","display_name":"Rashid Ali","orcid":"https://orcid.org/0000-0002-6240-7805"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Rashid Ali","raw_affiliation_strings":["School of Mathematics and Statistics, Central South University, Changsha, 410083 Hunan, China"],"raw_orcid":"https://orcid.org/0000-0002-6240-7805","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Central South University, Changsha, 410083 Hunan, China","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5056139430"],"corresponding_institution_ids":["https://openalex.org/I139660479"],"apc_list":{"value":750,"currency":"USD","value_usd":750},"apc_paid":{"value":750,"currency":"USD","value_usd":750},"fwci":0.2751,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.48482049,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"2022","issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9944999814033508,"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":0.992900013923645,"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/convergence","display_name":"Convergence (economics)","score":0.6910349130630493},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6123999953269958},{"id":"https://openalex.org/keywords/gauss\u2013seidel-method","display_name":"Gauss\u2013Seidel method","score":0.5967480540275574},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5844171047210693},{"id":"https://openalex.org/keywords/fixed-point-iteration","display_name":"Fixed-point iteration","score":0.5374299883842468},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.48259127140045166},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4418303370475769},{"id":"https://openalex.org/keywords/absolute","display_name":"Absolute (philosophy)","score":0.4413917660713196},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42457297444343567},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.3749845027923584},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29689928889274597},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09286713600158691}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6910349130630493},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6123999953269958},{"id":"https://openalex.org/C3828260","wikidata":"https://www.wikidata.org/wiki/Q1069090","display_name":"Gauss\u2013Seidel method","level":3,"score":0.5967480540275574},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5844171047210693},{"id":"https://openalex.org/C157449380","wikidata":"https://www.wikidata.org/wiki/Q1030759","display_name":"Fixed-point iteration","level":3,"score":0.5374299883842468},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.48259127140045166},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4418303370475769},{"id":"https://openalex.org/C2777487392","wikidata":"https://www.wikidata.org/wiki/Q481201","display_name":"Absolute (philosophy)","level":2,"score":0.4413917660713196},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42457297444343567},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.3749845027923584},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29689928889274597},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09286713600158691},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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:10.1155/2022/2828457","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/2828457","pdf_url":"https://downloads.hindawi.com/journals/cmm/2022/2828457.pdf","source":{"id":"https://openalex.org/S4210240678","display_name":"Computational and Mathematical Methods","issn_l":"2577-7408","issn":["2577-7408"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Mathematical Methods","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1155/2022/2828457","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/2828457","pdf_url":"https://downloads.hindawi.com/journals/cmm/2022/2828457.pdf","source":{"id":"https://openalex.org/S4210240678","display_name":"Computational and Mathematical Methods","issn_l":"2577-7408","issn":["2577-7408"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Mathematical Methods","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4287578624.pdf","grobid_xml":"https://content.openalex.org/works/W4287578624.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1973411603","https://openalex.org/W2003919943","https://openalex.org/W2023548950","https://openalex.org/W2041204694","https://openalex.org/W2135600319","https://openalex.org/W2513915616","https://openalex.org/W2615215470","https://openalex.org/W2946674549","https://openalex.org/W2997321886","https://openalex.org/W2999742918","https://openalex.org/W3024234133","https://openalex.org/W3108915603","https://openalex.org/W3119015524","https://openalex.org/W3194186078","https://openalex.org/W4200134841","https://openalex.org/W4200196050","https://openalex.org/W4206087669","https://openalex.org/W4213365581","https://openalex.org/W4214746670","https://openalex.org/W4221026216","https://openalex.org/W4226132723","https://openalex.org/W4229037980","https://openalex.org/W4281562594","https://openalex.org/W4285885758"],"related_works":["https://openalex.org/W1989082780","https://openalex.org/W2766391076","https://openalex.org/W2281025351","https://openalex.org/W3165752524","https://openalex.org/W2371730979","https://openalex.org/W2112452310","https://openalex.org/W3164190030","https://openalex.org/W2790365771","https://openalex.org/W4281629167","https://openalex.org/W2479373249"],"abstract_inverted_index":{"This":[0],"article":[1],"suggests":[2],"two":[3],"new":[4,46],"modified":[5,10,16],"iteration":[6],"methods":[7],"called":[8],"the":[9,15,23,32,35,42,45],"Gauss-Seidel":[11],"(MGS)":[12],"method":[13,20],"and":[14],"fixed":[17],"point":[18],"(MFP)":[19],"to":[21],"solve":[22],"absolute":[24],"value":[25],"equation.":[26],"Using":[27],"appropriate":[28],"assumptions,":[29],"we":[30],"examine":[31],"convergence":[33],"of":[34,44],"given":[36],"methods.":[37],"Lastly,":[38],"numerical":[39],"examples":[40],"illustrate":[41],"usefulness":[43],"strategies.":[47]},"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
