{"id":"https://openalex.org/W2066532646","doi":"https://doi.org/10.1134/s0361768810020088","title":"An algorithm for calculating power sums of roots for a class of systems of nonlinear equations","display_name":"An algorithm for calculating power sums of roots for a class of systems of nonlinear equations","publication_year":2010,"publication_date":"2010-03-01","ids":{"openalex":"https://openalex.org/W2066532646","doi":"https://doi.org/10.1134/s0361768810020088","mag":"2066532646"},"language":"en","primary_location":{"id":"doi:10.1134/s0361768810020088","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0361768810020088","pdf_url":null,"source":{"id":"https://openalex.org/S150218641","display_name":"Programming and Computer Software","issn_l":"0361-7688","issn":["0361-7688","1608-3261"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Programming and Computer Software","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/A5031512579","display_name":"\u0410. \u0410. \u041a\u044b\u0442\u043c\u0430\u043d\u043e\u0432","orcid":"https://orcid.org/0000-0003-3325-099X"},"institutions":[{"id":"https://openalex.org/I4853710","display_name":"Siberian Federal University","ror":"https://ror.org/05fw97k56","country_code":"RU","type":"education","lineage":["https://openalex.org/I4853710"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"A. A. Kytmanov","raw_affiliation_strings":["Siberian Federal University, pr. Svobodnyi 79, Krasnoyarsk, 660041, Russia","Siberian Federal University, Krasnoyarsk, Russia 660041"],"affiliations":[{"raw_affiliation_string":"Siberian Federal University, pr. Svobodnyi 79, Krasnoyarsk, 660041, Russia","institution_ids":["https://openalex.org/I4853710"]},{"raw_affiliation_string":"Siberian Federal University, Krasnoyarsk, Russia 660041","institution_ids":["https://openalex.org/I4853710"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5031512579"],"corresponding_institution_ids":["https://openalex.org/I4853710"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.15732159,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"36","issue":"2","first_page":"103","last_page":"110"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9172000288963318,"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":0.9172000288963318,"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/nonlinear-system","display_name":"Nonlinear system","score":0.7873708605766296},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.7242678999900818},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6225287914276123},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.5483298301696777},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5428708791732788},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5337565541267395},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.5104014277458191},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.435986191034317},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3965069353580475},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36593496799468994},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2619335651397705},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1649799644947052},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12841728329658508},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07749685645103455}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7873708605766296},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.7242678999900818},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6225287914276123},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.5483298301696777},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5428708791732788},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5337565541267395},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.5104014277458191},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.435986191034317},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3965069353580475},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36593496799468994},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2619335651397705},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1649799644947052},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12841728329658508},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07749685645103455},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s0361768810020088","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0361768810020088","pdf_url":null,"source":{"id":"https://openalex.org/S150218641","display_name":"Programming and Computer Software","issn_l":"0361-7688","issn":["0361-7688","1608-3261"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Programming and Computer Software","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1549995565","https://openalex.org/W2105459280","https://openalex.org/W2132660435"],"related_works":["https://openalex.org/W2368454205","https://openalex.org/W2370467235","https://openalex.org/W2989824750","https://openalex.org/W2347925354","https://openalex.org/W2359737466","https://openalex.org/W2800924481","https://openalex.org/W2110671666","https://openalex.org/W2366306114","https://openalex.org/W2377575788","https://openalex.org/W2375248960"],"abstract_inverted_index":{"An":[0],"algorithm":[1,20],"for":[2,8],"calculating":[3],"power":[4],"sums":[5],"of":[6,11,13],"roots":[7],"a":[9],"class":[10],"systems":[12],"nonlinear":[14],"non-algebraic":[15],"equations":[16],"is":[17,21],"presented.":[18],"The":[19],"based":[22],"on":[23],"multidimensional":[24],"recurrent":[25],"formulas":[26],"obtained":[27],"earlier":[28],"by":[29],"the":[30],"author.":[31]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}