{"id":"https://openalex.org/W2790792459","doi":"https://doi.org/10.1007/s11045-018-0566-4","title":"On minor prime factorizations for multivariate polynomial matrices","display_name":"On minor prime factorizations for multivariate polynomial matrices","publication_year":2018,"publication_date":"2018-03-09","ids":{"openalex":"https://openalex.org/W2790792459","doi":"https://doi.org/10.1007/s11045-018-0566-4","mag":"2790792459"},"language":"en","primary_location":{"id":"doi:10.1007/s11045-018-0566-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11045-018-0566-4","pdf_url":null,"source":{"id":"https://openalex.org/S198285748","display_name":"Multidimensional Systems and Signal Processing","issn_l":"0923-6082","issn":["0923-6082","1573-0824"],"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":"Multidimensional Systems and Signal Processing","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/A5025195591","display_name":"Jiancheng Guan","orcid":"https://orcid.org/0000-0002-0418-5378"},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiancheng Guan","raw_affiliation_strings":["College of Mathematics and Computer Science, Key Laboratory of High Performance Computing and Stochastic Information Processing (Ministry Of Education of China), Hunan Normal University, Changsha, 410081, Hunan, China"],"raw_orcid":"https://orcid.org/0000-0002-0418-5378","affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Science, Key Laboratory of High Performance Computing and Stochastic Information Processing (Ministry Of Education of China), Hunan Normal University, Changsha, 410081, Hunan, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101414940","display_name":"Weiqing Li","orcid":"https://orcid.org/0000-0002-1929-3654"},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weiqing Li","raw_affiliation_strings":["College of Mathematics and Computer Science, Key Laboratory of High Performance Computing and Stochastic Information Processing (Ministry Of Education of China), Hunan Normal University, Changsha, 410081, Hunan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Science, Key Laboratory of High Performance Computing and Stochastic Information Processing (Ministry Of Education of China), Hunan Normal University, Changsha, 410081, Hunan, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019789244","display_name":"Baiyu Ouyang","orcid":null},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Baiyu Ouyang","raw_affiliation_strings":["College of Mathematics and Computer Science, Key Laboratory of High Performance Computing and Stochastic Information Processing (Ministry Of Education of China), Hunan Normal University, Changsha, 410081, Hunan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Science, Key Laboratory of High Performance Computing and Stochastic Information Processing (Ministry Of Education of China), Hunan Normal University, Changsha, 410081, Hunan, China","institution_ids":["https://openalex.org/I173759888"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025195591"],"corresponding_institution_ids":["https://openalex.org/I173759888"],"apc_list":null,"apc_paid":null,"fwci":1.2824,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.81550092,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"30","issue":"1","first_page":"493","last_page":"502"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9955000281333923,"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":0.9955000281333923,"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":0.9926999807357788,"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"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.991100013256073,"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/minor","display_name":"Minor (academic)","score":0.7730212807655334},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7285650372505188},{"id":"https://openalex.org/keywords/polynomial-matrix","display_name":"Polynomial matrix","score":0.6852521896362305},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.66065913438797},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.6100998520851135},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.5640710592269897},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5490187406539917},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.5458202958106995},{"id":"https://openalex.org/keywords/stable-polynomial","display_name":"Stable polynomial","score":0.5146335363388062},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.4825098514556885},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.47726911306381226},{"id":"https://openalex.org/keywords/factorization-of-polynomials","display_name":"Factorization of polynomials","score":0.4452569782733917},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4126521944999695},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40487438440322876},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34184592962265015},{"id":"https://openalex.org/keywords/square-free-polynomial","display_name":"Square-free polynomial","score":0.3286527395248413},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2336736023426056},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16410043835639954},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10198363661766052},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09252801537513733}],"concepts":[{"id":"https://openalex.org/C2779760435","wikidata":"https://www.wikidata.org/wiki/Q5396169","display_name":"Minor (academic)","level":2,"score":0.7730212807655334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7285650372505188},{"id":"https://openalex.org/C126352355","wikidata":"https://www.wikidata.org/wiki/Q2562273","display_name":"Polynomial matrix","level":4,"score":0.6852521896362305},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.66065913438797},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.6100998520851135},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.5640710592269897},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5490187406539917},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.5458202958106995},{"id":"https://openalex.org/C45025165","wikidata":"https://www.wikidata.org/wiki/Q13424738","display_name":"Stable polynomial","level":5,"score":0.5146335363388062},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4825098514556885},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.47726911306381226},{"id":"https://openalex.org/C108741685","wikidata":"https://www.wikidata.org/wiki/Q392477","display_name":"Factorization of polynomials","level":4,"score":0.4452569782733917},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4126521944999695},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40487438440322876},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34184592962265015},{"id":"https://openalex.org/C101525915","wikidata":"https://www.wikidata.org/wiki/Q7581979","display_name":"Square-free polynomial","level":4,"score":0.3286527395248413},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2336736023426056},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16410043835639954},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10198363661766052},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09252801537513733},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11045-018-0566-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11045-018-0566-4","pdf_url":null,"source":{"id":"https://openalex.org/S198285748","display_name":"Multidimensional Systems and Signal Processing","issn_l":"0923-6082","issn":["0923-6082","1573-0824"],"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":"Multidimensional Systems and Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G140907914","display_name":null,"funder_award_id":"11371131","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W569064703","https://openalex.org/W1495410784","https://openalex.org/W1530768209","https://openalex.org/W1542689491","https://openalex.org/W1548944036","https://openalex.org/W1554673438","https://openalex.org/W1561016548","https://openalex.org/W1562121323","https://openalex.org/W2014488097","https://openalex.org/W2019461167","https://openalex.org/W2021811238","https://openalex.org/W2047621944","https://openalex.org/W2065395252","https://openalex.org/W2079142912","https://openalex.org/W2093654568","https://openalex.org/W2103840660","https://openalex.org/W2121839189","https://openalex.org/W2132341279","https://openalex.org/W2140205738","https://openalex.org/W2150792643","https://openalex.org/W2165391002","https://openalex.org/W2170019535","https://openalex.org/W2277540571","https://openalex.org/W4237780066","https://openalex.org/W4241533754","https://openalex.org/W4380203480","https://openalex.org/W6616182064","https://openalex.org/W6631791481","https://openalex.org/W6632427088","https://openalex.org/W6632758204"],"related_works":["https://openalex.org/W1543706171","https://openalex.org/W1973507931","https://openalex.org/W2379712779","https://openalex.org/W2038130734","https://openalex.org/W2086519601","https://openalex.org/W2619296305","https://openalex.org/W1968168880","https://openalex.org/W2041271016","https://openalex.org/W3118694039","https://openalex.org/W3187739487"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
