{"id":"https://openalex.org/W2137043772","doi":"https://doi.org/10.1145/2733693.2733710","title":"Decoupling Highly Structured Polynomial Systems","display_name":"Decoupling Highly Structured Polynomial Systems","publication_year":2015,"publication_date":"2015-02-05","ids":{"openalex":"https://openalex.org/W2137043772","doi":"https://doi.org/10.1145/2733693.2733710","mag":"2137043772"},"language":"en","primary_location":{"id":"doi:10.1145/2733693.2733710","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2733693.2733710","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","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/A5089126031","display_name":"Daniel J. Bates","orcid":"https://orcid.org/0000-0003-2985-0554"},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel J. Bates","raw_affiliation_strings":["Colorado State University","COLORADO STATE UNIVERSITY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Colorado State University","institution_ids":["https://openalex.org/I92446798"]},{"raw_affiliation_string":"COLORADO STATE UNIVERSITY","institution_ids":["https://openalex.org/I92446798"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000210566","display_name":"Andrew J. Newell","orcid":"https://orcid.org/0000-0001-7425-8600"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrew J. Newell","raw_affiliation_strings":["North Carolina State University","North Carolina State University,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"North Carolina State University","institution_ids":["https://openalex.org/I137902535"]},{"raw_affiliation_string":"North Carolina State University,","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013125272","display_name":"Matthew Niemerg","orcid":null},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthew E. Niemerg","raw_affiliation_strings":["Colorado State University","COLORADO STATE UNIVERSITY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Colorado State University","institution_ids":["https://openalex.org/I92446798"]},{"raw_affiliation_string":"COLORADO STATE UNIVERSITY","institution_ids":["https://openalex.org/I92446798"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08711713,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"48","issue":"3/4","first_page":"133","last_page":"133"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","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/T11435","display_name":"Polynomial and algebraic computation","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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9679999947547913,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.963100016117096,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/decoupling","display_name":"Decoupling (probability)","score":0.7228922247886658},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6611466407775879},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.6378308534622192},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4303682744503021},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4224262237548828},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40938058495521545},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20180216431617737},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12580406665802002},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.05033165216445923}],"concepts":[{"id":"https://openalex.org/C205606062","wikidata":"https://www.wikidata.org/wiki/Q5249645","display_name":"Decoupling (probability)","level":2,"score":0.7228922247886658},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6611466407775879},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.6378308534622192},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4303682744503021},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4224262237548828},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40938058495521545},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20180216431617737},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12580406665802002},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.05033165216445923},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2733693.2733710","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2733693.2733710","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.8799999952316284,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W647818151","https://openalex.org/W1570420806","https://openalex.org/W1607862333","https://openalex.org/W1931686294","https://openalex.org/W1965520434","https://openalex.org/W1985548249","https://openalex.org/W1989369020","https://openalex.org/W1989517713","https://openalex.org/W2028576930","https://openalex.org/W2076248955","https://openalex.org/W2109596995","https://openalex.org/W2158358539","https://openalex.org/W2184582894"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W4238204885"],"abstract_inverted_index":{"An":[0,54],"efficient":[1],"technique":[2],"for":[3],"solving":[4],"polynomial":[5,29],"systems":[6],"with":[7],"a":[8,27,44],"particular":[9,45],"structure":[10,14],"is":[11,15,37,43,59],"presented.":[12,60],"This":[13,32],"very":[16],"specific":[17],"but":[18],"arises":[19],"naturally":[20],"when":[21],"computing":[22],"the":[23],"critical":[24],"points":[25],"of":[26,47],"symmetric":[28],"energy":[30],"function.":[31],"novel":[33],"numerical":[34],"solution":[35],"method":[36],"based":[38],"on":[39],"homotopy":[40],"continuation":[41],"and":[42,52],"application":[46],"results":[48],"due":[49],"to":[50],"Canny":[51],"Rojas.":[53],"illustrative":[55],"example":[56],"from":[57],"magnetism":[58]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}