{"id":"https://openalex.org/W2996396231","doi":"https://doi.org/10.1007/s40314-019-1021-3","title":"Convergence of relaxed Newton method for order-convex matrix equations","display_name":"Convergence of relaxed Newton method for order-convex matrix equations","publication_year":2019,"publication_date":"2019-12-19","ids":{"openalex":"https://openalex.org/W2996396231","doi":"https://doi.org/10.1007/s40314-019-1021-3","mag":"2996396231"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-019-1021-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-019-1021-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied 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/A5036822005","display_name":"Sang-Hyup Seo","orcid":null},"institutions":[{"id":"https://openalex.org/I4921948","display_name":"Pusan National University","ror":"https://ror.org/01an57a31","country_code":"KR","type":"education","lineage":["https://openalex.org/I4921948"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Sang-hyup Seo","raw_affiliation_strings":["Department of Mathematics, Pusan National University, Busan, 46241, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Pusan National University, Busan, 46241, Republic of Korea","institution_ids":["https://openalex.org/I4921948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050824929","display_name":"Jong-Hyeon Seo","orcid":null},"institutions":[{"id":"https://openalex.org/I184937672","display_name":"Chubu University","ror":"https://ror.org/02sps0775","country_code":"JP","type":"education","lineage":["https://openalex.org/I184937672"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Jong-Hyeon Seo","raw_affiliation_strings":["Chubu University Academy of Emerging Science, Kasugai, 487-0027, Japan"],"affiliations":[{"raw_affiliation_string":"Chubu University Academy of Emerging Science, Kasugai, 487-0027, Japan","institution_ids":["https://openalex.org/I184937672"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036822005"],"corresponding_institution_ids":["https://openalex.org/I4921948"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.20932049,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"39","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9997000098228455,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9991999864578247,"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/mathematics","display_name":"Mathematics","score":0.7448441386222839},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.7109829187393188},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.7075209617614746},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5849080681800842},{"id":"https://openalex.org/keywords/newton-fractal","display_name":"Newton fractal","score":0.5473324656486511},{"id":"https://openalex.org/keywords/steffensens-method","display_name":"Steffensen's method","score":0.527212381362915},{"id":"https://openalex.org/keywords/newtons-method-in-optimization","display_name":"Newton's method in optimization","score":0.49025633931159973},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.48963218927383423},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4760139584541321},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46726980805397034},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4599735736846924},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4587652087211609},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.44275838136672974},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.43872907757759094},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.41492339968681335},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.3887718915939331},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.23936223983764648},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.17552414536476135},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12115916609764099},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11553758382797241}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7448441386222839},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.7109829187393188},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7075209617614746},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5849080681800842},{"id":"https://openalex.org/C194342247","wikidata":"https://www.wikidata.org/wiki/Q1151001","display_name":"Newton fractal","level":4,"score":0.5473324656486511},{"id":"https://openalex.org/C173443657","wikidata":"https://www.wikidata.org/wiki/Q7606635","display_name":"Steffensen's method","level":5,"score":0.527212381362915},{"id":"https://openalex.org/C179127668","wikidata":"https://www.wikidata.org/wiki/Q17086396","display_name":"Newton's method in optimization","level":4,"score":0.49025633931159973},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.48963218927383423},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4760139584541321},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46726980805397034},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4599735736846924},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4587652087211609},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.44275838136672974},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.43872907757759094},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.41492339968681335},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3887718915939331},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.23936223983764648},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.17552414536476135},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12115916609764099},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11553758382797241},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-019-1021-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-019-1021-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W171922849","https://openalex.org/W391578156","https://openalex.org/W1483073639","https://openalex.org/W1483804921","https://openalex.org/W1523572153","https://openalex.org/W1541621421","https://openalex.org/W1551112541","https://openalex.org/W1559984321","https://openalex.org/W1573717114","https://openalex.org/W1724438738","https://openalex.org/W1968272180","https://openalex.org/W1968639722","https://openalex.org/W1969535785","https://openalex.org/W1980271325","https://openalex.org/W1983184346","https://openalex.org/W1988950450","https://openalex.org/W2006753799","https://openalex.org/W2013549980","https://openalex.org/W2022405282","https://openalex.org/W2023139344","https://openalex.org/W2026889745","https://openalex.org/W2040769287","https://openalex.org/W2044344239","https://openalex.org/W2052323297","https://openalex.org/W2056589646","https://openalex.org/W2059100658","https://openalex.org/W2060468169","https://openalex.org/W2062573385","https://openalex.org/W2069223940","https://openalex.org/W2086846400","https://openalex.org/W2090963365","https://openalex.org/W2102352719","https://openalex.org/W2114349947","https://openalex.org/W2133936817","https://openalex.org/W2176741779","https://openalex.org/W2610857016","https://openalex.org/W4231137976","https://openalex.org/W4235035462"],"related_works":["https://openalex.org/W4297921956","https://openalex.org/W2951861326","https://openalex.org/W1985487460","https://openalex.org/W2387535608","https://openalex.org/W2340363276","https://openalex.org/W2123238992","https://openalex.org/W2079440004","https://openalex.org/W2029462152","https://openalex.org/W2354633743","https://openalex.org/W2107083687"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
