{"id":"https://openalex.org/W2980243929","doi":"https://doi.org/10.1007/s11075-019-00806-7","title":"Regions of convergence and dynamics of Schr\u00f6der-like iteration formulae as applied to complex polynomial equations with multiple roots","display_name":"Regions of convergence and dynamics of Schr\u00f6der-like iteration formulae as applied to complex polynomial equations with multiple roots","publication_year":2019,"publication_date":"2019-10-08","ids":{"openalex":"https://openalex.org/W2980243929","doi":"https://doi.org/10.1007/s11075-019-00806-7","mag":"2980243929"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-019-00806-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-019-00806-7","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://u-fukui.repo.nii.ac.jp/record/2000094/files/BD10126649.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056237192","display_name":"Tomohiro Suzuki","orcid":"https://orcid.org/0000-0002-3091-1302"},"institutions":[{"id":"https://openalex.org/I66906201","display_name":"University of Yamanashi","ror":"https://ror.org/059x21724","country_code":"JP","type":"education","lineage":["https://openalex.org/I66906201"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Tomohiro Suzuki","raw_affiliation_strings":["Department of Interdisciplinary Research, University of Yamanashi, Kofu, 400-8510, Japan"],"raw_orcid":"https://orcid.org/0000-0002-3091-1302","affiliations":[{"raw_affiliation_string":"Department of Interdisciplinary Research, University of Yamanashi, Kofu, 400-8510, Japan","institution_ids":["https://openalex.org/I66906201"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030178889","display_name":"Hiroshi Sugiura","orcid":"https://orcid.org/0000-0002-6950-4480"},"institutions":[{"id":"https://openalex.org/I119031078","display_name":"Nanzan University","ror":"https://ror.org/042b6j696","country_code":"JP","type":"education","lineage":["https://openalex.org/I119031078"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroshi Sugiura","raw_affiliation_strings":["Department of Mechatronics, Nanzan University, Showa-ku, Nagoya, 466-8673, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechatronics, Nanzan University, Showa-ku, Nagoya, 466-8673, Japan","institution_ids":["https://openalex.org/I119031078"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075370030","display_name":"Takemitsu Hasegawa","orcid":"https://orcid.org/0000-0002-4635-5523"},"institutions":[{"id":"https://openalex.org/I111966504","display_name":"University of Fukui","ror":"https://ror.org/00msqp585","country_code":"JP","type":"education","lineage":["https://openalex.org/I111966504"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takemitsu Hasegawa","raw_affiliation_strings":["Department of Information Science, University of Fukui, Fukui, 910-8507, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Science, University of Fukui, Fukui, 910-8507, Japan","institution_ids":["https://openalex.org/I111966504"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5056237192"],"corresponding_institution_ids":["https://openalex.org/I66906201"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3245,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.56278749,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"85","issue":"1","first_page":"133","last_page":"144"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9990000128746033,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/voronoi-diagram","display_name":"Voronoi diagram","score":0.8330326080322266},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8283640146255493},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.7023438811302185},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.6247619986534119},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5759167075157166},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5361509323120117},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5205653309822083},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.4630351960659027},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.396271675825119},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3478894829750061},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33165454864501953},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2311798334121704}],"concepts":[{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.8330326080322266},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8283640146255493},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.7023438811302185},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.6247619986534119},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5759167075157166},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5361509323120117},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5205653309822083},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.4630351960659027},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.396271675825119},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3478894829750061},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33165454864501953},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2311798334121704},{"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11075-019-00806-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-019-00806-7","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:irdb.nii.ac.jp:00855:0005996087","is_oa":true,"landing_page_url":"https://u-fukui.repo.nii.ac.jp/records/2000094","pdf_url":"https://u-fukui.repo.nii.ac.jp/record/2000094/files/BD10126649.pdf","source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Numerical Algorithms","raw_type":"journal article"}],"best_oa_location":{"id":"pmh:oai:irdb.nii.ac.jp:00855:0005996087","is_oa":true,"landing_page_url":"https://u-fukui.repo.nii.ac.jp/records/2000094","pdf_url":"https://u-fukui.repo.nii.ac.jp/record/2000094/files/BD10126649.pdf","source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Numerical Algorithms","raw_type":"journal article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2980243929.pdf","grobid_xml":"https://content.openalex.org/works/W2980243929.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W117718904","https://openalex.org/W169252370","https://openalex.org/W641016853","https://openalex.org/W1499223973","https://openalex.org/W1533404702","https://openalex.org/W1965245900","https://openalex.org/W1967005434","https://openalex.org/W1979001819","https://openalex.org/W1983087877","https://openalex.org/W2015193374","https://openalex.org/W2015964633","https://openalex.org/W2021586346","https://openalex.org/W2062985118","https://openalex.org/W2087972187","https://openalex.org/W2749388583","https://openalex.org/W2765867784","https://openalex.org/W2891131832"],"related_works":["https://openalex.org/W3020555194","https://openalex.org/W2793256277","https://openalex.org/W2348235448","https://openalex.org/W4360958759","https://openalex.org/W2116218375","https://openalex.org/W2389906634","https://openalex.org/W176898926","https://openalex.org/W288156810","https://openalex.org/W2044942888","https://openalex.org/W2053206769"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}