{"id":"https://openalex.org/W3005107464","doi":"https://doi.org/10.1177/0142331219899745","title":"Truncated model reduction methods for linear time-invariant systems via eigenvalue computation","display_name":"Truncated model reduction methods for linear time-invariant systems via eigenvalue computation","publication_year":2020,"publication_date":"2020-02-03","ids":{"openalex":"https://openalex.org/W3005107464","doi":"https://doi.org/10.1177/0142331219899745","mag":"3005107464"},"language":"en","primary_location":{"id":"doi:10.1177/0142331219899745","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0142331219899745","pdf_url":null,"source":{"id":"https://openalex.org/S24148485","display_name":"Transactions of the Institute of Measurement and Control","issn_l":"0142-3312","issn":["0142-3312","1477-0369"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Transactions of the Institute of Measurement and Control","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/A5100727437","display_name":"Ping Yang","orcid":"https://orcid.org/0000-0002-4655-9315"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ping Yang","raw_affiliation_strings":["School of Mathematics and Statistics, Xi\u2019an Jiaotong University, China","School of Mathematics and Statistics, Xi'an Jiaotong University, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xi\u2019an Jiaotong University, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034372090","display_name":"Yao\u2010Lin Jiang","orcid":"https://orcid.org/0000-0002-5541-1136"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yao-Lin Jiang","raw_affiliation_strings":["School of Mathematics and Statistics, Xi\u2019an Jiaotong University, China","School of Mathematics and Statistics, Xi'an Jiaotong University, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xi\u2019an Jiaotong University, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034372090"],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":null,"apc_paid":null,"fwci":0.2655,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.49644046,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"42","issue":"10","first_page":"1908","last_page":"1920"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9876000285148621,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9857000112533569,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6655710339546204},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6328023672103882},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6009131073951721},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.562562108039856},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5416711568832397},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5311504602432251},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5124097466468811},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5031558871269226},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.4679051339626312},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4488636255264282},{"id":"https://openalex.org/keywords/jacobi-method","display_name":"Jacobi method","score":0.4211842119693756},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3328224718570709},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2452821433544159},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11010611057281494}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6655710339546204},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6328023672103882},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6009131073951721},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.562562108039856},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5416711568832397},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5311504602432251},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5124097466468811},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5031558871269226},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.4679051339626312},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4488636255264282},{"id":"https://openalex.org/C67923128","wikidata":"https://www.wikidata.org/wiki/Q1481893","display_name":"Jacobi method","level":2,"score":0.4211842119693756},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3328224718570709},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2452821433544159},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11010611057281494},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/0142331219899745","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0142331219899745","pdf_url":null,"source":{"id":"https://openalex.org/S24148485","display_name":"Transactions of the Institute of Measurement and Control","issn_l":"0142-3312","issn":["0142-3312","1477-0369"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Transactions of the Institute of Measurement and Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8659213433","display_name":null,"funder_award_id":"61663043","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":33,"referenced_works":["https://openalex.org/W1220792221","https://openalex.org/W1704490501","https://openalex.org/W1977937121","https://openalex.org/W1985927505","https://openalex.org/W2005400753","https://openalex.org/W2023873792","https://openalex.org/W2026204854","https://openalex.org/W2027389940","https://openalex.org/W2036272365","https://openalex.org/W2045512849","https://openalex.org/W2056064986","https://openalex.org/W2064733273","https://openalex.org/W2080925234","https://openalex.org/W2084839116","https://openalex.org/W2105270077","https://openalex.org/W2106165817","https://openalex.org/W2133642820","https://openalex.org/W2134055716","https://openalex.org/W2134407994","https://openalex.org/W2147631863","https://openalex.org/W2150799895","https://openalex.org/W2152792548","https://openalex.org/W2152896489","https://openalex.org/W2471338065","https://openalex.org/W2519347683","https://openalex.org/W2593777971","https://openalex.org/W2620926835","https://openalex.org/W2621879478","https://openalex.org/W2753792589","https://openalex.org/W2765678401","https://openalex.org/W3103022528","https://openalex.org/W4205293427","https://openalex.org/W4237159693"],"related_works":["https://openalex.org/W2103502297","https://openalex.org/W2053005959","https://openalex.org/W2299538996","https://openalex.org/W2078763166","https://openalex.org/W2027136373","https://openalex.org/W2144143333","https://openalex.org/W3169827016","https://openalex.org/W4386631510","https://openalex.org/W2276636510","https://openalex.org/W2105658174"],"abstract_inverted_index":{"This":[0,141],"paper":[1],"provides":[2],"three":[3],"model":[4,49,70,122,159],"reduction":[5,50,71,123,160],"methods":[6],"for":[7,62,158],"linear":[8,34,64],"time-invariant":[9],"systems":[10,88,163],"in":[11],"the":[12,15,20,24,33,37,48,55,59,63,68,81,85,93,102,111,121,130,156],"view":[13],"of":[14,26,80,104,150,161],"Riemannian":[16,41,152],"Newton":[17,42,153],"method":[18,43,57,116,142],"and":[19,66],"Jacobi-Davidson":[21,56,115],"method.":[22,51,83,154],"First,":[23],"computation":[25,103],"Hankel":[27,105],"singular":[28,106],"values":[29,107],"is":[30,44,108,117,167],"converted":[31],"into":[32,110],"eigenproblem":[35,65],"by":[36],"similarity":[38],"transformation.":[39,100,140],"The":[40,114],"used":[45],"to":[46,92,119,129,134],"establish":[47,120],"Besides,":[52],"we":[53],"introduce":[54],"with":[58,164],"block":[60],"version":[61],"present":[67],"corresponding":[69],"method,":[72,124],"which":[73,125],"can":[74,89,126,143],"be":[75,90,145],"seen":[76],"as":[77,147],"an":[78,148],"acceleration":[79,149],"former":[82],"Both":[84],"resulting":[86,136],"reduced":[87,94,131],"equivalent":[91,133],"system":[95,132],"originating":[96],"from":[97,137],"a":[98,138,151],"balancing":[99,139],"Then,":[101],"transformed":[109],"generalized":[112],"eigenproblem.":[113],"employed":[118],"also":[127,144,168],"lead":[128],"that":[135],"regarded":[146],"Moreover,":[155],"application":[157],"nonlinear":[162],"inhomogeneous":[165],"conditions":[166],"investigated.":[169]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
