{"id":"https://openalex.org/W30228692","doi":"https://doi.org/10.1023/a:1009903702722","title":"Slope Methods of Higher Order for the Inclusion of Complex Roots of Polynomials","display_name":"Slope Methods of Higher Order for the Inclusion of Complex Roots of Polynomials","publication_year":1997,"publication_date":"1997-11-01","ids":{"openalex":"https://openalex.org/W30228692","doi":"https://doi.org/10.1023/a:1009903702722","mag":"30228692"},"language":"en","primary_location":{"id":"doi:10.1023/a:1009903702722","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1009903702722","pdf_url":null,"source":{"id":"https://openalex.org/S64721560","display_name":"Reliable Computing","issn_l":"1385-3139","issn":["1385-3139","1573-1340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Reliable Computing","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/A5108201933","display_name":"Ljiljana D. Petkovi\u0107","orcid":null},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Ljiljana D. Petkovi\u0107","raw_affiliation_strings":["Faculty of Mechanical Engineering, University of Ni\u0161, 18000, Ni\u0161, Yugoslavia","Faculty of Mechanical Engineering, University of Ni\u0161, Ni\u0161, Yugoslavia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mechanical Engineering, University of Ni\u0161, 18000, Ni\u0161, Yugoslavia","institution_ids":["https://openalex.org/I152518017"]},{"raw_affiliation_string":"Faculty of Mechanical Engineering, University of Ni\u0161, Ni\u0161, Yugoslavia","institution_ids":["https://openalex.org/I152518017"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008693320","display_name":"Slobodan B. Tri\u010dkovi\u0107","orcid":"https://orcid.org/0000-0002-3766-8579"},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Slobodan Tri\u010dkovi\u0107","raw_affiliation_strings":["Faculty of Mechanical Engineering, University of Ni\u0161, 18000, Ni\u0161, Yugoslavia","Faculty of Mechanical Engineering, University of Ni\u0161, Ni\u0161, Yugoslavia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mechanical Engineering, University of Ni\u0161, 18000, Ni\u0161, Yugoslavia","institution_ids":["https://openalex.org/I152518017"]},{"raw_affiliation_string":"Faculty of Mechanical Engineering, University of Ni\u0161, Ni\u0161, Yugoslavia","institution_ids":["https://openalex.org/I152518017"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5106081964","display_name":"Miodrag S. Petkovi\u0107","orcid":"https://orcid.org/0000-0002-0542-1643"},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Miodrag S. Petkovi\u0107","raw_affiliation_strings":["Faculty of Mechanical Engineering, University of Ni\u0161, 18000, Ni\u0161, Yugoslavia","Faculty of Mechanical Engineering, University of Ni\u0161, Ni\u0161, Yugoslavia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mechanical Engineering, University of Ni\u0161, 18000, Ni\u0161, Yugoslavia","institution_ids":["https://openalex.org/I152518017"]},{"raw_affiliation_string":"Faculty of Mechanical Engineering, University of Ni\u0161, Ni\u0161, Yugoslavia","institution_ids":["https://openalex.org/I152518017"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I152518017"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.00396127,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":"4","first_page":"349","last_page":"362"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9995999932289124,"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":0.9995999932289124,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9993000030517578,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7072013020515442},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.6567755937576294},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5471292734146118},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5441913604736328},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5283411741256714},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.5246080160140991},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5245518684387207},{"id":"https://openalex.org/keywords/root-finding-algorithm","display_name":"Root-finding algorithm","score":0.47699692845344543},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.46141111850738525},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46070802211761475},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.42612242698669434},{"id":"https://openalex.org/keywords/root","display_name":"Root (linguistics)","score":0.41904860734939575},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3629465103149414},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35956528782844543},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26412490010261536},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12511101365089417},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07580453157424927},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.07343930006027222}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7072013020515442},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.6567755937576294},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5471292734146118},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5441913604736328},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5283411741256714},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.5246080160140991},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5245518684387207},{"id":"https://openalex.org/C194777461","wikidata":"https://www.wikidata.org/wiki/Q1085860","display_name":"Root-finding algorithm","level":3,"score":0.47699692845344543},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.46141111850738525},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46070802211761475},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.42612242698669434},{"id":"https://openalex.org/C171078966","wikidata":"https://www.wikidata.org/wiki/Q111029","display_name":"Root (linguistics)","level":2,"score":0.41904860734939575},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3629465103149414},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35956528782844543},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26412490010261536},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12511101365089417},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07580453157424927},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.07343930006027222},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1009903702722","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1009903702722","pdf_url":null,"source":{"id":"https://openalex.org/S64721560","display_name":"Reliable Computing","issn_l":"1385-3139","issn":["1385-3139","1573-1340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Reliable Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6399999856948853,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W77596585","https://openalex.org/W149757499","https://openalex.org/W169252370","https://openalex.org/W1483874187","https://openalex.org/W1496163243","https://openalex.org/W1559629805","https://openalex.org/W1976316721","https://openalex.org/W1989666660","https://openalex.org/W1990531607","https://openalex.org/W2018314172","https://openalex.org/W2023413246","https://openalex.org/W2048632019","https://openalex.org/W2074068518","https://openalex.org/W2341633094","https://openalex.org/W3146520007","https://openalex.org/W6603106706"],"related_works":["https://openalex.org/W2557315028","https://openalex.org/W1563175402","https://openalex.org/W2369347388","https://openalex.org/W2350788688","https://openalex.org/W1985487460","https://openalex.org/W2357287617","https://openalex.org/W2103912232","https://openalex.org/W2377857862","https://openalex.org/W2358591430","https://openalex.org/W3180920337"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2016-06-24T00:00:00"}
