{"id":"https://openalex.org/W2980592258","doi":"https://doi.org/10.1109/access.2019.2948082","title":"Performance Analyses of Four-Instant Discretization Formulas With Application to Generalized-Sylvester-Type Future Matrix Equation","display_name":"Performance Analyses of Four-Instant Discretization Formulas With Application to Generalized-Sylvester-Type Future Matrix Equation","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2980592258","doi":"https://doi.org/10.1109/access.2019.2948082","mag":"2980592258"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2948082","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2948082","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08873617.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08873617.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074600550","display_name":"Zhangqiang Yin","orcid":"https://orcid.org/0009-0003-2912-7427"},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhangqiang Yin","raw_affiliation_strings":["School of Information Engineering, Yangzhou University, Yangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Engineering, Yangzhou University, Yangzhou, China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100389886","display_name":"Kang Liu","orcid":"https://orcid.org/0000-0001-9270-1362"},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kang Liu","raw_affiliation_strings":["School of Information Engineering, Yangzhou University, Yangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Engineering, Yangzhou University, Yangzhou, China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009030382","display_name":"Yuanhang Chen","orcid":"https://orcid.org/0000-0002-5223-3434"},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuanhang Chen","raw_affiliation_strings":["School of Information Engineering, Yangzhou University, Yangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Engineering, Yangzhou University, Yangzhou, China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071026059","display_name":"Rui Xue","orcid":"https://orcid.org/0000-0002-4319-9975"},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rui Xue","raw_affiliation_strings":["School of Information Engineering, Yangzhou University, Yangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Engineering, Yangzhou University, Yangzhou, China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100710279","display_name":"Jian Li","orcid":"https://orcid.org/0000-0003-1033-842X"},"institutions":[{"id":"https://openalex.org/I130750295","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66","country_code":"CN","type":"education","lineage":["https://openalex.org/I130750295"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Li","raw_affiliation_strings":["School of Computer and Information Technology, Xinyang Normal University, Xinyang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer and Information Technology, Xinyang Normal University, Xinyang, China","institution_ids":["https://openalex.org/I130750295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038110519","display_name":"Yang Shi","orcid":"https://orcid.org/0000-0003-3014-7858"},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Shi","raw_affiliation_strings":["School of Information Engineering, Yangzhou University, Yangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-3014-7858","affiliations":[{"raw_affiliation_string":"School of Information Engineering, Yangzhou University, Yangzhou, China","institution_ids":["https://openalex.org/I78978612"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1750,"currency":"USD","value_usd":1750},"apc_paid":{"value":1750,"currency":"USD","value_usd":1750},"fwci":1.8269,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.86988212,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"7","issue":null,"first_page":"152258","last_page":"152266"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9990000128746033,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9990000128746033,"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/T10320","display_name":"Neural Networks and Applications","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.9250526428222656},{"id":"https://openalex.org/keywords/truncation-error","display_name":"Truncation error","score":0.7202606201171875},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6762391328811646},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.6317549347877502},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5772985219955444},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.529249370098114},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.50922691822052},{"id":"https://openalex.org/keywords/discretization-of-continuous-features","display_name":"Discretization of continuous features","score":0.4566560983657837},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.43631356954574585},{"id":"https://openalex.org/keywords/discretization-error","display_name":"Discretization error","score":0.34703537821769714},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2866967022418976},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06622621417045593}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.9250526428222656},{"id":"https://openalex.org/C104942944","wikidata":"https://www.wikidata.org/wiki/Q3434686","display_name":"Truncation error","level":2,"score":0.7202606201171875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6762391328811646},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.6317549347877502},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5772985219955444},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.529249370098114},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.50922691822052},{"id":"https://openalex.org/C105427703","wikidata":"https://www.wikidata.org/wiki/Q665193","display_name":"Discretization of continuous features","level":4,"score":0.4566560983657837},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.43631356954574585},{"id":"https://openalex.org/C126148662","wikidata":"https://www.wikidata.org/wiki/Q3890355","display_name":"Discretization error","level":3,"score":0.34703537821769714},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2866967022418976},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06622621417045593},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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":2,"locations":[{"id":"doi:10.1109/access.2019.2948082","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2948082","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08873617.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:096e46c3f91b4ba1a20d408ec37e7584","is_oa":true,"landing_page_url":"https://doaj.org/article/096e46c3f91b4ba1a20d408ec37e7584","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":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 7, Pp 152258-152266 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2948082","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2948082","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08873617.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.47999998927116394,"display_name":"Quality Education"}],"awards":[{"id":"https://openalex.org/G3017215549","display_name":null,"funder_award_id":"61906164","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G5004191145","display_name":null,"funder_award_id":"BK20190875","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5780347565","display_name":null,"funder_award_id":"BK20190875","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G6668726416","display_name":null,"funder_award_id":"X20190373","funder_id":"https://openalex.org/F4320324130","funder_display_name":"Yangzhou University"},{"id":"https://openalex.org/G8581092217","display_name":null,"funder_award_id":"61906164","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"},{"id":"https://openalex.org/F4320321605","display_name":"Government of Jiangsu Province","ror":"https://ror.org/004svx814"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324130","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2980592258.pdf","grobid_xml":"https://content.openalex.org/works/W2980592258.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W280536263","https://openalex.org/W1969411688","https://openalex.org/W1981824673","https://openalex.org/W1985463596","https://openalex.org/W2002352814","https://openalex.org/W2003162446","https://openalex.org/W2004573655","https://openalex.org/W2005104409","https://openalex.org/W2053961820","https://openalex.org/W2127832757","https://openalex.org/W2196717068","https://openalex.org/W2482430271","https://openalex.org/W2543670241","https://openalex.org/W2566476448","https://openalex.org/W2605659698","https://openalex.org/W2626336550","https://openalex.org/W2732094339","https://openalex.org/W2746282094","https://openalex.org/W2772861103","https://openalex.org/W2780162751","https://openalex.org/W2799602331","https://openalex.org/W2810239241","https://openalex.org/W2886723177","https://openalex.org/W2887084606","https://openalex.org/W2888123880","https://openalex.org/W2894744753","https://openalex.org/W2897448795","https://openalex.org/W2897981614","https://openalex.org/W2900351265","https://openalex.org/W2903050599","https://openalex.org/W2941603869","https://openalex.org/W2941887520","https://openalex.org/W4229706427","https://openalex.org/W4247080625"],"related_works":["https://openalex.org/W37066597","https://openalex.org/W2028070877","https://openalex.org/W1993570899","https://openalex.org/W1492103595","https://openalex.org/W2276958151","https://openalex.org/W2364741597","https://openalex.org/W2003029454","https://openalex.org/W2964941126","https://openalex.org/W2382061699","https://openalex.org/W3046360031"],"abstract_inverted_index":{"For":[0],"solving":[1,164],"generalized-Sylvester-type":[2],"future":[3],"matrix":[4],"equation":[5],"(GS-type":[6],"FME)":[7],"effectively,":[8],"the":[9,40,51,67,80,105,122,129,144,154,182],"continuous":[10,160],"zeroing":[11],"neural":[12],"network":[13],"(ZNN)":[14],"model":[15,162,170],"should":[16],"be":[17],"discretized":[18],"by":[19,78,127,152],"appropriate":[20],"discretization":[21,34,56,74,114,133,149,156],"formula.":[22,150],"In":[23,44],"this":[24],"paper,":[25],"theoretical":[26,106,123,185],"upper":[27,41,107],"bound":[28,42,108],"of":[29,32,38,54,64,69,109,112,131,147,184],"truncation":[30,52,110,145],"errors":[31,111],"four-instant":[33,73],"formulas":[35,75,115],"is":[36,58,116,171,178],"presented,":[37,117],"which":[39,86],"is$O(g^{2})$.":[43],"addition,":[45],"an":[46,139,174],"inspirational":[47,140],"method":[48,97,141],"to":[49,142,158,180],"decrease":[50,143],"error":[53,146],"general":[55,132,148,155,167],"formula":[57,157],"proposed":[59],"and":[60,98,119,137],"analysed.":[61],"Specifically,":[62],"first":[63],"all,":[65],"on":[66],"basis":[68],"Taylor":[70],"expansion,":[71],"different":[72],"are":[76],"presented":[77,179],"exploiting":[79,153],"higher-order":[81],"derivative":[82,89,94,100],"elimination":[83,90,95,101],"(HODE)":[84],"methods,":[85],"include":[87],"second-order":[88],"(SODE)":[91],"method,":[92],"third-order":[93],"(TODE)":[96],"fourth-order":[99],"(FODE)":[102],"method.":[103],"Then,":[104],"these":[113],"investigated":[118],"analysed":[120],"with":[121],"analyses":[124],"provided.":[125],"Secondly,":[126],"analyzing":[128],"parameter":[130],"formula,":[134],"we":[135],"propose":[136],"analyse":[138],"Thirdly,":[151],"discretize":[159],"ZNN":[161,169],"for":[163],"GS-type":[165],"FME,":[166],"discrete":[168],"presented.":[172],"Finally,":[173],"illustrative":[175],"numerical":[176],"experiment":[177],"substantiate":[181],"effectiveness":[183],"results.":[186]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":6}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}
