乐胖代购免代理版

{"id":"https://openalex.org/W3129761842","doi":"https://doi.org/10.1002/nla.2363","title":"A trust\u2010region method for the parameterized generalized eigenvalue problem with nonsquare matrix pencils","display_name":"A trust\u2010region method for the parameterized generalized eigenvalue problem with nonsquare matrix pencils","publication_year":2021,"publication_date":"2021-02-14","ids":{"openalex":"https://openalex.org/W3129761842","doi":"https://doi.org/10.1002/nla.2363","mag":"3129761842"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/nla.2363","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5014532114","display_name":"Jiao\u2010fen Li","orcid":"https://orcid.org/0000-0002-7336-2980"},"institutions":[{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiao\u2010fen Li","raw_affiliation_strings":["School of Mathematics and Computing Science, Center for Applied Mathematics of Guangxi (Guilin University of Electronic Technology), Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guangxi Key Laboratory of Automatic Detecting Technology and Instruments, Guilin University of Electronic Technology, Guilin, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computing Science, Center for Applied Mathematics of Guangxi (Guilin University of Electronic Technology), Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guangxi Key Laboratory of Automatic Detecting Technology and Instruments, Guilin University of Electronic Technology, Guilin, China","institution_ids":["https://openalex.org/I5343935"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011860604","display_name":"Kai Wang","orcid":"https://orcid.org/0000-0003-1548-6317"},"institutions":[{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kai Wang","raw_affiliation_strings":["School of Mathematics and Computing Science, Center for Applied Mathematics of Guangxi (Guilin University of Electronic Technology), Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guangxi Key Laboratory of Automatic Detecting Technology and Instruments, Guilin University of Electronic Technology, Guilin, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computing Science, Center for Applied Mathematics of Guangxi (Guilin University of Electronic Technology), Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guangxi Key Laboratory of Automatic Detecting Technology and Instruments, Guilin University of Electronic Technology, Guilin, China","institution_ids":["https://openalex.org/I5343935"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048030363","display_name":"Yue\u2010yuan Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yue\u2010yuan Liu","raw_affiliation_strings":["School of Mathematics and Computing Science, Center for Applied Mathematics of Guangxi (Guilin University of Electronic Technology), Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guangxi Key Laboratory of Automatic Detecting Technology and Instruments, Guilin University of Electronic Technology, Guilin, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computing Science, Center for Applied Mathematics of Guangxi (Guilin University of Electronic Technology), Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guangxi Key Laboratory of Automatic Detecting Technology and Instruments, Guilin University of Electronic Technology, Guilin, China","institution_ids":["https://openalex.org/I5343935"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082906625","display_name":"Xuefeng Duan","orcid":"https://orcid.org/0000-0002-3326-4585"},"institutions":[{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xue\u2010feng Duan","raw_affiliation_strings":["School of Mathematics and Computing Science, Center for Applied Mathematics of Guangxi (Guilin University of Electronic Technology), Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guangxi Key Laboratory of Automatic Detecting Technology and Instruments, Guilin University of Electronic Technology, Guilin, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computing Science, Center for Applied Mathematics of Guangxi (Guilin University of Electronic Technology), Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guangxi Key Laboratory of Automatic Detecting Technology and Instruments, Guilin University of Electronic Technology, Guilin, China","institution_ids":["https://openalex.org/I5343935"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034314242","display_name":"Xue\u2010lin Zhou","orcid":"https://orcid.org/0000-0001-6599-2977"},"institutions":[{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xue\u2010lin Zhou","raw_affiliation_strings":["College of International Exchange, Guilin University of Electronic Technology, Guilin, China"],"affiliations":[{"raw_affiliation_string":"College of International Exchange, Guilin University of Electronic Technology, Guilin, China","institution_ids":["https://openalex.org/I5343935"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014532114"],"corresponding_institution_ids":["https://openalex.org/I5343935"],"apc_list":{"value":4430,"currency":"USD","value_usd":4430,"provenance":"doaj"},"apc_paid":null,"fwci":0.397,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.588858,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":72,"max":76},"biblio":{"volume":"28","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9996,"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":0.9996,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9971,"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/T13487","display_name":"Statistical and numerical algorithms","score":0.9959,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/stiefel-manifold","display_name":"Stiefel manifold","score":0.71148145},{"id":"https://openalex.org/keywords/trust-region","display_name":"Trust region","score":0.6390542},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.52506036},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.44749}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8129107},{"id":"https://openalex.org/C612670","wikidata":"https://www.wikidata.org/wiki/Q7616373","display_name":"Stiefel manifold","level":2,"score":0.71148145},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.71042883},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.65651226},{"id":"https://openalex.org/C89109886","wikidata":"https://www.wikidata.org/wiki/Q1535924","display_name":"Trust region","level":3,"score":0.6390542},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5794083},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5705732},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.52506036},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5160341},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48919845},{"id":"https://openalex.org/C169756996","wikidata":"https://www.wikidata.org/wiki/Q194919","display_name":"Eigendecomposition of a matrix","level":3,"score":0.4588469},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.44749},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42017227},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38833347},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16608217},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1439983},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.11481759},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/nla.2363","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China","award_id":"11761024,11561015,11961012"},{"funder":"https://openalex.org/F4320322768","funder_display_name":"Natural Science Foundation of Guangxi Province","award_id":"2016GXNSFAA380074, 2016GXNSFFA380009, 2017GXNSFBA1"}],"datasets":[],"versions":[],"referenced_works_count":35,"referenced_works":["https://openalex.org/W1755177043","https://openalex.org/W1987598033","https://openalex.org/W2008229822","https://openalex.org/W2009964554","https://openalex.org/W2015320521","https://openalex.org/W2027982384","https://openalex.org/W2042948547","https://openalex.org/W2045512849","https://openalex.org/W2076214866","https://openalex.org/W2078084493","https://openalex.org/W2078942172","https://openalex.org/W2082403093","https://openalex.org/W2086953401","https://openalex.org/W2091129013","https://openalex.org/W2102062010","https://openalex.org/W2110662303","https://openalex.org/W2127567631","https://openalex.org/W2129732816","https://openalex.org/W2167623372","https://openalex.org/W2282216560","https://openalex.org/W2331234901","https://openalex.org/W2469271216","https://openalex.org/W2480121964","https://openalex.org/W2556460356","https://openalex.org/W2572455488","https://openalex.org/W2604272474","https://openalex.org/W2749421738","https://openalex.org/W2749459105","https://openalex.org/W2886832173","https://openalex.org/W2909021186","https://openalex.org/W2998362785","https://openalex.org/W2999551505","https://openalex.org/W3104834496","https://openalex.org/W3123070570","https://openalex.org/W4205293427"],"related_works":["https://openalex.org/W4380302820","https://openalex.org/W4300808424","https://openalex.org/W4292512682","https://openalex.org/W3129761842","https://openalex.org/W3046880536","https://openalex.org/W2950071265","https://openalex.org/W2950052959","https://openalex.org/W2416736196","https://openalex.org/W2132719248","https://openalex.org/W2059582906"],"abstract_inverted_index":{"Abstract":[0],"The":[1,156],"l":[2,114,118,128,168],"parameterized":[3],"generalized":[4],"eigenvalue":[5],"problems":[6,188],"for":[7,80,165,184],"the":[8,48,52,67,82,87,101,104,126,132,137,154,166,194,197],"nonsquare":[9],"matrix":[10],"pencils,":[11],"proposed":[12,43,105,176,198],"by":[13],"Chu":[14],"and":[15,55,90,117,143,179],"Golub":[16],"[":[17],"SIAM":[18],"J.":[19],"Matrix":[20],"Anal.":[21],"Appl.":[22],",":[23,131],"28(2006),":[24],"pp.":[25],"770\u2010787],":[26],"can":[27,134],"be":[28,60],"formulated":[29],"as":[30,141],"an":[31],"optimization":[32,187],"problem":[33],"on":[34,47],"a":[35,77,149],"corresponding":[36],"complex":[37],"product":[38],"Stiefel":[39],"manifold.":[40],"Some":[41],"early":[42,175],"algorithms":[44],"are":[45,97,122,189],"based":[46],"first\u2010order":[49],"information":[50],"of":[51,72,103,196],"objective":[53],"function,":[54],"fast":[56],"convergence":[57,89,93],"could":[58],"not":[59],"expected.":[61],"In":[62],"this":[63],"article,":[64],"we":[65],"turn":[66],"generic":[68],"Riemannian":[69],"trust\u2010region":[70],"method":[71,151],"Absil":[73],"et":[74,162],"al.":[75],"into":[76],"practical":[78],"algorithm":[79,133,157,164],"solving":[81,185],"underlying":[83],"problem,":[84],"which":[85,146],"enjoys":[86],"global":[88],"local":[91],"superlinear":[92],"rate.":[94],"Numerical":[95],"experiments":[96],"provided":[98,191],"to":[99,152,192],"illustrate":[100],"efficiency":[102],"method.":[106],"Detailed":[107],"comparisons":[108,172],"with":[109,173],"some":[110,174,180],"existing":[111],"results":[112],"(":[113],"=":[115,119,129,169],"1":[116],"n":[120,130],")":[121],"given":[123],"first.":[124],"For":[125],"case":[127,167],"yield":[135],"exactly":[136],"same":[138],"optimal":[139],"solution":[140],"Ito":[142],"Murota's":[144],"algorithm,":[145],"is":[147],"essentially":[148],"direct":[150],"solve":[153],"problem.":[155],"runs":[158],"faster":[159],"than":[160],"Boutry":[161],"al.'s":[163],"1.":[170],"Further":[171],"gradient\u2010based":[177],"algorithms,":[178],"latest":[181],"infeasible":[182],"methods":[183],"manifold":[186],"also":[190],"show":[193],"merits":[195],"approach.":[199]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3129761842","counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2025-01-04T22:49:31.923018","created_date":"2021-03-01"}