乐胖代购免代理版

{"id":"https://openalex.org/W2027269550","doi":"https://doi.org/10.1145/1576702.1576733","title":"Solution of algebraic riccati equations using the sum of roots","display_name":"Solution of algebraic riccati equations using the sum of roots","publication_year":2009,"publication_date":"2009-07-28","ids":{"openalex":"https://openalex.org/W2027269550","doi":"https://doi.org/10.1145/1576702.1576733","mag":"2027269550"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1145/1576702.1576733","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-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/A5067318827","display_name":"Masaaki Kanno","orcid":null},"institutions":[{"id":"https://openalex.org/I71395657","display_name":"Niigata University","ror":"https://ror.org/04ww21r56","country_code":"JP","type":"education","lineage":["https://openalex.org/I71395657"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masaaki Kanno","raw_affiliation_strings":["Niigata University, Niigata (Japan)"],"affiliations":[{"raw_affiliation_string":"Niigata University, Niigata (Japan)","institution_ids":["https://openalex.org/I71395657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101002458","display_name":"Kazuhiro Yokoyama","orcid":null},"institutions":[{"id":"https://openalex.org/I133557312","display_name":"Rikkyo University","ror":"https://ror.org/00x194q47","country_code":"JP","type":"education","lineage":["https://openalex.org/I133557312"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kazuhiro Yokoyama","raw_affiliation_strings":["Rikkyo University, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Rikkyo University, Tokyo, Japan","institution_ids":["https://openalex.org/I133557312"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037020693","display_name":"Hirokazu Anai","orcid":null},"institutions":[{"id":"https://openalex.org/I2252096349","display_name":"Fujitsu (Japan)","ror":"https://ror.org/038e2g226","country_code":"JP","type":"company","lineage":["https://openalex.org/I2252096349"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hirokazu Anai","raw_affiliation_strings":["FUJITSU LABORATORIES LTD. Kawasaki, Japan"],"affiliations":[{"raw_affiliation_string":"FUJITSU LABORATORIES LTD. Kawasaki, Japan","institution_ids":["https://openalex.org/I2252096349"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042960650","display_name":"Shinji Hara","orcid":"https://orcid.org/0000-0002-9539-9426"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shinji Hara","raw_affiliation_strings":["The University of Tokyo, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"The University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.612,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.624922,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":79,"max":80},"biblio":{"volume":null,"issue":null,"first_page":"215","last_page":"222"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9985,"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":0.9985,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9965,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.993,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algebraic-riccati-equation","display_name":"Algebraic Riccati equation","score":0.8478278},{"id":"https://openalex.org/keywords/gr\u00f6bner-basis","display_name":"Gr\u00f6bner basis","score":0.61305153},{"id":"https://openalex.org/keywords/algebraic-expression","display_name":"Algebraic expression","score":0.4480279},{"id":"https://openalex.org/keywords/differential-algebraic-geometry","display_name":"Differential algebraic geometry","score":0.43360433}],"concepts":[{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.8478278},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.673834},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6555783},{"id":"https://openalex.org/C198082693","wikidata":"https://www.wikidata.org/wiki/Q1551631","display_name":"Gr\u00f6bner basis","level":3,"score":0.61305153},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.592011},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5323437},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5314889},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.5007279},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.49803925},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.46446317},{"id":"https://openalex.org/C18912844","wikidata":"https://www.wikidata.org/wiki/Q4724001","display_name":"Algebraic expression","level":3,"score":0.4480279},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.43607366},{"id":"https://openalex.org/C26959085","wikidata":"https://www.wikidata.org/wiki/Q5275330","display_name":"Differential algebraic geometry","level":5,"score":0.43360433},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4309379},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.41636485},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.3731401},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.32938245},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2603825},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.24674457},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2101641},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.1833646},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.18003953},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.12589851},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10787997},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1145/1576702.1576733","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":28,"referenced_works":["https://openalex.org/W123060743","https://openalex.org/W1550538908","https://openalex.org/W1570787829","https://openalex.org/W1600349401","https://openalex.org/W1603725627","https://openalex.org/W1868559974","https://openalex.org/W1968235836","https://openalex.org/W1987574683","https://openalex.org/W1993600232","https://openalex.org/W2035981707","https://openalex.org/W2058709793","https://openalex.org/W2059522106","https://openalex.org/W2065313971","https://openalex.org/W2067802513","https://openalex.org/W2069711915","https://openalex.org/W2089113283","https://openalex.org/W2097430029","https://openalex.org/W2115955567","https://openalex.org/W2155267347","https://openalex.org/W2168553897","https://openalex.org/W2172246469","https://openalex.org/W2182274314","https://openalex.org/W2787045080","https://openalex.org/W3086943959","https://openalex.org/W3210839039","https://openalex.org/W4255213956","https://openalex.org/W4388319978","https://openalex.org/W622930292"],"related_works":["https://openalex.org/W3147722313","https://openalex.org/W2172045778","https://openalex.org/W2086775644","https://openalex.org/W2027269550","https://openalex.org/W2020922575","https://openalex.org/W1995391105","https://openalex.org/W1990894536","https://openalex.org/W1977862215","https://openalex.org/W1968887028","https://openalex.org/W1885976328"],"abstract_inverted_index":{"This":[0],"paper":[1],"constructs":[2],"an":[3,12,69],"algebraic":[4,9,52],"solution":[5],"approach":[6,27,49,53,66],"to":[7,54,89],"the":[8,25,29,36,39,51,61,74,77,91],"Riccati":[10],"equation,":[11],"important":[13],"equation":[14],"in":[15,35,81],"signal":[16],"processing":[17],"and":[18,38],"control":[19],"system":[20],"design.":[21],"Key":[22],"features":[23],"of":[24,31,41,60,63,73,76],"proposed":[26,92],"are":[28],"exploitation":[30],"useful":[32],"structures":[33],"inherent":[34],"problem":[37],"avoidance":[40],"Gr\u00f6bner":[42],"basis":[43],"computation":[44],"by":[45,58],"generic":[46],"algorithms.":[47],"The":[48,65],"extends":[50],"polynomial":[55],"spectral":[56],"factorization":[57],"means":[59],"Sum":[62],"Roots.":[64],"further":[67],"finds":[68],"effective":[70],"symbolic":[71],"expression":[72],"eigenvector":[75],"associated":[78],"Hamiltonian":[79],"matrix":[80],"a":[82],"simple":[83],"way.":[84],"An":[85],"example":[86],"is":[87],"presented":[88],"demonstrate":[90],"algorithm.":[93]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2027269550","counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2024-12-09T07:31:28.362065","created_date":"2016-06-24"}