{"id":"https://openalex.org/W2078394276","doi":"https://doi.org/10.1145/2442829.2442880","title":"Factorization of differential operators with ordinary differential polynomial coefficients","display_name":"Factorization of differential operators with ordinary differential polynomial coefficients","publication_year":2012,"publication_date":"2012-07-22","ids":{"openalex":"https://openalex.org/W2078394276","doi":"https://doi.org/10.1145/2442829.2442880","mag":"2078394276"},"language":"en","primary_location":{"id":"doi:10.1145/2442829.2442880","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2442829.2442880","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-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/A5045410942","display_name":"Mingbo Zhang","orcid":"https://orcid.org/0000-0003-3607-8814"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Mingbo Zhang","raw_affiliation_strings":["University of Science and Technology of China Hefei, Anhui Province, P. R. of China","University of Science and Technology of China Hefei, Anhui Province, P. R. of China#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Science and Technology of China Hefei, Anhui Province, P. R. of China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"University of Science and Technology of China Hefei, Anhui Province, P. R. of China#TAB#","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101923957","display_name":"Yong Luo","orcid":null},"institutions":[{"id":"https://openalex.org/I146620803","display_name":"Wenzhou University","ror":"https://ror.org/020hxh324","country_code":"CN","type":"education","lineage":["https://openalex.org/I146620803"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Luo","raw_affiliation_strings":["Wenzhou University Zhejiang Province, P. R. of China"],"affiliations":[{"raw_affiliation_string":"Wenzhou University Zhejiang Province, P. R. of China","institution_ids":["https://openalex.org/I146620803"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045410942"],"corresponding_institution_ids":["https://openalex.org/I126520041"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.13811416,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":null,"issue":null,"first_page":"359","last_page":"365"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998999834060669,"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":0.9998999834060669,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9936000108718872,"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"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9846000075340271,"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/constant-coefficients","display_name":"Constant coefficients","score":0.6772286891937256},{"id":"https://openalex.org/keywords/differential-algebra","display_name":"Differential algebra","score":0.6465591788291931},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6441953182220459},{"id":"https://openalex.org/keywords/differential-operator","display_name":"Differential operator","score":0.6273772716522217},{"id":"https://openalex.org/keywords/integrating-factor","display_name":"Integrating factor","score":0.5424277782440186},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5140563249588013},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.4791521430015564},{"id":"https://openalex.org/keywords/factorization-of-polynomials","display_name":"Factorization of polynomials","score":0.47304362058639526},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4561050534248352},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33923202753067017},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32572078704833984},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.3206517696380615},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.2912888824939728},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1766473352909088},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.1357910931110382},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11395198106765747},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.09763526916503906}],"concepts":[{"id":"https://openalex.org/C110342517","wikidata":"https://www.wikidata.org/wiki/Q1129902","display_name":"Constant coefficients","level":2,"score":0.6772286891937256},{"id":"https://openalex.org/C139080492","wikidata":"https://www.wikidata.org/wiki/Q7756337","display_name":"Differential algebra","level":2,"score":0.6465591788291931},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6441953182220459},{"id":"https://openalex.org/C70915906","wikidata":"https://www.wikidata.org/wiki/Q1058681","display_name":"Differential operator","level":2,"score":0.6273772716522217},{"id":"https://openalex.org/C163105828","wikidata":"https://www.wikidata.org/wiki/Q2734005","display_name":"Integrating factor","level":5,"score":0.5424277782440186},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5140563249588013},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.4791521430015564},{"id":"https://openalex.org/C108741685","wikidata":"https://www.wikidata.org/wiki/Q392477","display_name":"Factorization of polynomials","level":4,"score":0.47304362058639526},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4561050534248352},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33923202753067017},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32572078704833984},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.3206517696380615},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2912888824939728},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1766473352909088},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.1357910931110382},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11395198106765747},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.09763526916503906},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2442829.2442880","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2442829.2442880","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3445834115","display_name":null,"funder_award_id":"11026070, 10901156, 11001204","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1573927207","https://openalex.org/W1979474425","https://openalex.org/W1992855373","https://openalex.org/W2002699217","https://openalex.org/W2008320211","https://openalex.org/W2012983552","https://openalex.org/W2065852143","https://openalex.org/W2090499413","https://openalex.org/W2092707075","https://openalex.org/W2148271881","https://openalex.org/W2157748663","https://openalex.org/W2162658465","https://openalex.org/W2171421630","https://openalex.org/W2331005958","https://openalex.org/W4229672964"],"related_works":["https://openalex.org/W2096112415","https://openalex.org/W1971391037","https://openalex.org/W2033190180","https://openalex.org/W4287554459","https://openalex.org/W2025157298","https://openalex.org/W2059280624","https://openalex.org/W2320558547","https://openalex.org/W2063403615","https://openalex.org/W2059843291","https://openalex.org/W1870642950"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,44],"present":[4],"an":[5],"algorithm":[6,50],"to":[7],"factor":[8],"a":[9,30],"differential":[10,38,54,58],"operator":[11],"L":[12],"=":[13],"\u03c3n":[14],"+":[15,18,20],"cn":[16],"1\u03c3n-1":[17],"\u00b7\u00b7\u00b7":[19],"c1\u03c3+c0":[21],"with":[22,60],"coefficients":[23,61],"ci":[24],"in":[25,51,62],"C{y},":[26],"where":[27],"C":[28],"is":[29,35],"constant":[31],"field":[32,65],"and":[33,56],"C{y}":[34],"the":[36,46,49,63],"ordinary":[37],"polynomial":[39],"ring":[40],"over":[41],"C.":[42,67],"Also,":[43],"discuss":[45],"applications":[47],"of":[48,66],"decomposing":[52],"nonlinear":[53],"polynomials":[55],"factoring":[57],"operators":[59],"extension":[64]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}