{"id":"https://openalex.org/W4387667149","doi":"https://doi.org/10.1137/23m1547251","title":"A Preconditioned MINRES Method for Optimal Control of Wave Equations and its Asymptotic Spectral Distribution Theory","display_name":"A Preconditioned MINRES Method for Optimal Control of Wave Equations and its Asymptotic Spectral Distribution Theory","publication_year":2023,"publication_date":"2023-10-16","ids":{"openalex":"https://openalex.org/W4387667149","doi":"https://doi.org/10.1137/23m1547251"},"language":"en","primary_location":{"id":"doi:10.1137/23m1547251","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1547251","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","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/A5088781916","display_name":"Sean Hon","orcid":"https://orcid.org/0000-0001-5124-8776"},"institutions":[{"id":"https://openalex.org/I141568987","display_name":"Hong Kong Baptist University","ror":"https://ror.org/0145fw131","country_code":"HK","type":"education","lineage":["https://openalex.org/I141568987"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Sean Hon","raw_affiliation_strings":["Department of Mathematics, Hong Kong Baptist University, Hong Kong SAR"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hong Kong Baptist University, Hong Kong SAR","institution_ids":["https://openalex.org/I141568987"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021051242","display_name":"Jiamei Dong","orcid":"https://orcid.org/0000-0001-8984-0513"},"institutions":[{"id":"https://openalex.org/I141568987","display_name":"Hong Kong Baptist University","ror":"https://ror.org/0145fw131","country_code":"HK","type":"education","lineage":["https://openalex.org/I141568987"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Jiamei Dong","raw_affiliation_strings":["Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong SAR"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong SAR","institution_ids":["https://openalex.org/I141568987"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053268193","display_name":"Stefano Serra\u2010Capizzano","orcid":"https://orcid.org/0000-0001-9477-109X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stefano Serra-Capizzano","raw_affiliation_strings":["Corresponding author. Department of Science and High Technology, University of Insubria, Como, 22100, Italy, and Department of Information Technology, Uppsala University, Uppsala, 75008, Sweden"],"affiliations":[{"raw_affiliation_string":"Corresponding author. Department of Science and High Technology, University of Insubria, Como, 22100, Italy, and Department of Information Technology, Uppsala University, Uppsala, 75008, Sweden","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5088781916"],"corresponding_institution_ids":["https://openalex.org/I141568987"],"apc_list":null,"apc_paid":null,"fwci":3.0314,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.91787286,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"44","issue":"4","first_page":"1477","last_page":"1509"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.9993000030517578,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/preconditioner","display_name":"Preconditioner","score":0.833570659160614},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8032259345054626},{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.594868004322052},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.5775004625320435},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5694531202316284},{"id":"https://openalex.org/keywords/diagonalizable-matrix","display_name":"Diagonalizable matrix","score":0.5538514852523804},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5285987854003906},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.49959516525268555},{"id":"https://openalex.org/keywords/coefficient-matrix","display_name":"Coefficient matrix","score":0.4942922592163086},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49287986755371094},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.46334701776504517},{"id":"https://openalex.org/keywords/block-matrix","display_name":"Block matrix","score":0.42381662130355835},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.386656254529953},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3351393938064575},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.22143566608428955},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11317849159240723},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09064489603042603}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.833570659160614},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8032259345054626},{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.594868004322052},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.5775004625320435},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5694531202316284},{"id":"https://openalex.org/C30072841","wikidata":"https://www.wikidata.org/wiki/Q1767080","display_name":"Diagonalizable matrix","level":4,"score":0.5538514852523804},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5285987854003906},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.49959516525268555},{"id":"https://openalex.org/C60866291","wikidata":"https://www.wikidata.org/wiki/Q5140577","display_name":"Coefficient matrix","level":3,"score":0.4942922592163086},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49287986755371094},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.46334701776504517},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.42381662130355835},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.386656254529953},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3351393938064575},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.22143566608428955},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11317849159240723},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09064489603042603},{"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},{"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/23m1547251","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1547251","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","raw_type":"journal-article"},{"id":"pmh:oai:irinsubria.uninsubria.it:11383/2164418","is_oa":false,"landing_page_url":"https://hdl.handle.net/11383/2164418","pdf_url":null,"source":{"id":"https://openalex.org/S4377196351","display_name":"IrInSubria (University of Insubria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I115752224","host_organization_name":"University of Insubria","host_organization_lineage":["https://openalex.org/I115752224"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Climate action","id":"https://metadata.un.org/sdg/13","score":0.49000000953674316}],"awards":[{"id":"https://openalex.org/G2687583569","display_name":null,"funder_award_id":"2230092","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"},{"id":"https://openalex.org/G4922307767","display_name":null,"funder_award_id":"955701","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"}],"funders":[{"id":"https://openalex.org/F4320320904","display_name":"Croucher Foundation","ror":"https://ror.org/04741mc34"},{"id":"https://openalex.org/F4320320955","display_name":"Hong Kong Baptist University","ror":"https://ror.org/0145fw131"},{"id":"https://openalex.org/F4320321592","display_name":"Research Grants Council, University Grants Committee","ror":"https://ror.org/00djwmt25"},{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W323572456","https://openalex.org/W605044866","https://openalex.org/W1527992869","https://openalex.org/W1533471646","https://openalex.org/W1963847819","https://openalex.org/W1977061454","https://openalex.org/W1980058119","https://openalex.org/W1988976163","https://openalex.org/W1997992827","https://openalex.org/W2005041367","https://openalex.org/W2014870838","https://openalex.org/W2020240945","https://openalex.org/W2033517841","https://openalex.org/W2034472087","https://openalex.org/W2037139389","https://openalex.org/W2047821321","https://openalex.org/W2074780612","https://openalex.org/W2078692435","https://openalex.org/W2080097309","https://openalex.org/W2082691187","https://openalex.org/W2094833587","https://openalex.org/W2133248904","https://openalex.org/W2134431133","https://openalex.org/W2228799722","https://openalex.org/W2363078554","https://openalex.org/W2597181770","https://openalex.org/W2903335383","https://openalex.org/W2946535883","https://openalex.org/W2972868794","https://openalex.org/W2990394047","https://openalex.org/W3022294179","https://openalex.org/W3113016951","https://openalex.org/W3213158206","https://openalex.org/W4211094263","https://openalex.org/W4230843528","https://openalex.org/W4242832160","https://openalex.org/W4252589316","https://openalex.org/W4255333822","https://openalex.org/W4256359184","https://openalex.org/W4290828441","https://openalex.org/W4298228534","https://openalex.org/W4320501952"],"related_works":["https://openalex.org/W3046775784","https://openalex.org/W2382988560","https://openalex.org/W2024149451","https://openalex.org/W3031624508","https://openalex.org/W2977980606","https://openalex.org/W2525981419","https://openalex.org/W2956259592","https://openalex.org/W2033698563","https://openalex.org/W4322732133","https://openalex.org/W1971116595"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3,41,79,103,197],"propose":[4,199],"a":[5,57,69],"novel":[6],"preconditioned":[7,110,177],"Krylov":[8],"subspace":[9],"method":[10,144],"for":[11,88],"solving":[12],"an":[13,62,81],"optimal":[14,37],"control":[15,38,52],"problem":[16,53],"of":[17,27,31,72,94,108,175,226],"wave":[18,51],"equations,":[19],"after":[20],"explicitly":[21,77],"identifying":[22],"the":[23,28,36,45,50,74,89,100,106,109,115,141,170,173,176,224,231,237],"asymptotic":[24],"spectral":[25,70,218],"distribution":[26,71,219],"involved":[29],"sequence":[30],"linear":[32],"coefficient":[33,59],"matrices":[34],"from":[35,49,134],"problem.":[39],"Namely,":[40],"first":[42],"show":[43,104],"that":[44,105,172],"all-at-once":[46],"system":[47,92],"stemming":[48],"is":[54,76,145,166],"associated":[55],"to":[56,114,137,186,212,222,236],"structured":[58],"matrix-sequence":[60,111],"possessing":[61],"eigenvalue":[63],"distribution.":[64],"Then,":[65],"based":[66],"on":[67],"such":[68],"which":[73,184,202],"symbol":[75],"identified,":[78],"develop":[80],"ideal":[82,101],"preconditioner":[83],"and":[84,163,217,221,230],"two":[85,95],"parallel-in-time":[86,149,191],"preconditioners":[87,150,192,229],"saddle":[90],"point":[91],"composed":[93],"block":[96],"Toeplitz":[97],"matrices.":[98],"For":[99],"preconditioner,":[102],"eigenvalues":[107,174],"all":[112],"belong":[113],"set":[116],"L(":[117,125],"3":[118,129],"2":[119,122,127,130],",":[120,128],"1":[121,126],"R)":[123,131],"\u22d3":[124],"well":[132],"separated":[133],"zero,":[135],"leading":[136],"mesh-independent":[138],"convergence":[139],"when":[140],"minimal":[142],"residual":[143],"employed.":[146],"The":[147],"proposed":[148,228],"can":[151,203],"be":[152,204],"implemented":[153],"efficiently":[154,205],"using":[155],"fast":[156],"Fourier":[157],"transforms":[158],"or":[159],"discrete":[160],"sine":[161],"transforms,":[162],"their":[164],"effectiveness":[165,225],"theoretically":[167],"shown":[168],"in":[169],"sense":[171],"matrix-sequences":[178],"are":[179,193,210],"clustered":[180],"around":[181],"pm":[182],"1,":[183],"leads":[185],"rapid":[187],"convergence.":[188],"When":[189],"these":[190],"not":[194],"fastly":[195],"diagonalizable,":[196],"further":[198],"modified":[200],"versions":[201],"inverted.":[206],"Several":[207],"numerical":[208],"examples":[209],"reported":[211],"verify":[213],"our":[214,227],"derived":[215],"localization":[216],"result":[220],"support":[223],"related":[232],"advantages":[233],"with":[234],"respect":[235],"relevant":[238],"literature.":[239]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
