乐胖代购免代理版

{"id":"https://openalex.org/W2060585948","doi":"https://doi.org/10.1155/2014/710458","title":"Polynomial Solutions to the Matrix EquationX\u2212AXTB=C","display_name":"Polynomial Solutions to the Matrix EquationX\u2212AXTB=C","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2060585948","doi":"https://doi.org/10.1155/2014/710458","mag":"2060585948"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/710458","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/710458.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/710458.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102991185","display_name":"Caiqin Song","orcid":"https://orcid.org/0000-0002-2632-5351"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]},{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Caiqin Song","raw_affiliation_strings":["College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, China","School of Mathematics, Shandong University, Jinan 250100, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Shandong University, Jinan 250100, China","institution_ids":["https://openalex.org/I154099455"]},{"raw_affiliation_string":"College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, China","institution_ids":["https://openalex.org/I80143920"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052677494","display_name":"Jun\u2010e Feng","orcid":"https://orcid.org/0000-0003-3881-3042"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jun-e Feng","raw_affiliation_strings":["School of Mathematics, Shandong University, Jinan 250100, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Shandong University, Jinan 250100, China","institution_ids":["https://openalex.org/I154099455"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102991185","https://openalex.org/A5052677494"],"corresponding_institution_ids":["https://openalex.org/I154099455","https://openalex.org/I80143920","https://openalex.org/I154099455"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025,"provenance":"doaj"},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025,"provenance":"doaj"},"fwci":0.371,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":2,"citation_normalized_percentile":{"value":0.693721,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":73,"max":76},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9995,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9995,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.999,"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/T11236","display_name":"Control Systems and Identification","score":0.9985,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/matrix","display_name":"Matrix (chemical analysis)","score":0.45964503}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6190454},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.45964503},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35050237},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34235936},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.13261357},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/710458","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/710458.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":false,"landing_page_url":"https://doaj.org/article/2522619321af422880e0013f434428b0","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://projecteuclid.org/euclid.jam/1395855285","pdf_url":"https://projecteuclid.org/journals/journal-of-applied-mathematics/volume-2014/issue-none/Polynomial-Solutions-to-the-Matrix-Equation-XAXTBC/10.1155/2014/710458.pdf","source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/710458","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/710458.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China","award_id":"2013M541900"},{"funder":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China","award_id":"JQ201219"},{"funder":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China","award_id":"BS2011DX019"},{"funder":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China","award_id":"BS2011SF009"},{"funder":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China","award_id":"61174141"}],"datasets":[],"versions":[],"referenced_works_count":33,"referenced_works":["https://openalex.org/W1482540049","https://openalex.org/W1499394638","https://openalex.org/W151868298","https://openalex.org/W1519346647","https://openalex.org/W1525481744","https://openalex.org/W1594736270","https://openalex.org/W1893124157","https://openalex.org/W1979278406","https://openalex.org/W1985880643","https://openalex.org/W1998098060","https://openalex.org/W2005691328","https://openalex.org/W2008712213","https://openalex.org/W2018695143","https://openalex.org/W2021158018","https://openalex.org/W2031442181","https://openalex.org/W2033498088","https://openalex.org/W2045650934","https://openalex.org/W2046512631","https://openalex.org/W2051997016","https://openalex.org/W2063295633","https://openalex.org/W2064360544","https://openalex.org/W2068444197","https://openalex.org/W2070426587","https://openalex.org/W2073038832","https://openalex.org/W2084239806","https://openalex.org/W2086267332","https://openalex.org/W2090472548","https://openalex.org/W2127426100","https://openalex.org/W2130329361","https://openalex.org/W2130734886","https://openalex.org/W2130814585","https://openalex.org/W2148366330","https://openalex.org/W2167818376"],"related_works":["https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W3002753104","https://openalex.org/W2911598644","https://openalex.org/W2748952813","https://openalex.org/W2077600819","https://openalex.org/W2061531152","https://openalex.org/W2007980826","https://openalex.org/W1979597421","https://openalex.org/W1587224694"],"abstract_inverted_index":{"Solutions":[0],"are":[1,11,88],"constructed":[2],"for":[3],"the":[4,19,24,30,40,46,60,70,77,80,91],"Kalman-Yakubovich-transpose":[5,47],"equationX\u2212AXTB=C.":[8],"The":[9,54],"solutions":[10,26],"stated":[12],"as":[13],"a":[14,51],"polynomial":[15,25],"of":[16,18,23,79,93],"parameters":[17],"matrix":[20,48],"equation.":[21],"One":[22],"is":[27,43,73],"expressed":[28],"by":[29],"symmetric":[31],"operator":[32],"matrix,":[33,35],"controllability":[34],"and":[36],"observability":[37],"matrix.":[38],"Moreover,":[39],"explicit":[41],"solution":[42],"proposed":[44],"when":[45],"equation":[49],"has":[50],"unique":[52],"solution.":[53],"provided":[55],"approach":[56],"does":[57],"not":[58],"require":[59],"coefficient":[61],"matrices":[62],"to":[63,75],"be":[64],"in":[65,85],"canonical":[66],"form.":[67],"In":[68],"addition,":[69],"numerical":[71],"example":[72],"given":[74],"illustrate":[76],"effectiveness":[78],"derived":[81],"method.":[82],"Some":[83],"applications":[84],"control":[86],"theory":[87],"discussed":[89],"at":[90],"end":[92],"this":[94],"paper.":[95]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2060585948","counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-01-04T04:38:49.144052","created_date":"2016-06-24"}