{"id":"https://openalex.org/W4387777283","doi":"https://doi.org/10.1080/00207160.2023.2272589","title":"A new block preconditioner for weighted Toeplitz regularized least-squares problems","display_name":"A new block preconditioner for weighted Toeplitz regularized least-squares problems","publication_year":2023,"publication_date":"2023-10-19","ids":{"openalex":"https://openalex.org/W4387777283","doi":"https://doi.org/10.1080/00207160.2023.2272589"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2023.2272589","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2023.2272589","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5066581834","display_name":"Fariba Bakrani Balani","orcid":null},"institutions":[{"id":"https://openalex.org/I48379061","display_name":"Shahid Beheshti University","ror":"https://ror.org/0091vmj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I48379061"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Fariba Bakrani Balani","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran","institution_ids":["https://openalex.org/I48379061"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072708675","display_name":"Masoud Hajarian","orcid":"https://orcid.org/0000-0002-5549-9270"},"institutions":[{"id":"https://openalex.org/I48379061","display_name":"Shahid Beheshti University","ror":"https://ror.org/0091vmj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I48379061"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Masoud Hajarian","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran","institution_ids":["https://openalex.org/I48379061"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5072708675"],"corresponding_institution_ids":["https://openalex.org/I48379061"],"apc_list":null,"apc_paid":null,"fwci":1.2087,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.82570769,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"100","issue":"12","first_page":"2241","last_page":"2250"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":1.0,"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":1.0,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9940000176429749,"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":0.8778513073921204},{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.8739969730377197},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7767382264137268},{"id":"https://openalex.org/keywords/generalized-minimal-residual-method","display_name":"Generalized minimal residual method","score":0.7614376544952393},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.6344245672225952},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5352504849433899},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5076159238815308},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.4456697106361389},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.4344247579574585},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4250231981277466},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38507044315338135},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36619722843170166},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15189507603645325},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1345384120941162},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09601065516471863}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.8778513073921204},{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.8739969730377197},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7767382264137268},{"id":"https://openalex.org/C155332342","wikidata":"https://www.wikidata.org/wiki/Q1432976","display_name":"Generalized minimal residual method","level":3,"score":0.7614376544952393},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.6344245672225952},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5352504849433899},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5076159238815308},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.4456697106361389},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.4344247579574585},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4250231981277466},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38507044315338135},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36619722843170166},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15189507603645325},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1345384120941162},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09601065516471863},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"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":1,"locations":[{"id":"doi:10.1080/00207160.2023.2272589","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2023.2272589","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.6600000262260437,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1963751327","https://openalex.org/W1982069796","https://openalex.org/W1989487931","https://openalex.org/W1991285463","https://openalex.org/W2002102128","https://openalex.org/W2014365824","https://openalex.org/W2015295891","https://openalex.org/W2024333033","https://openalex.org/W2030021140","https://openalex.org/W2030925155","https://openalex.org/W2054034220","https://openalex.org/W2055116131","https://openalex.org/W2064659520","https://openalex.org/W2068062961","https://openalex.org/W2071515371","https://openalex.org/W2077441566","https://openalex.org/W2078187167","https://openalex.org/W2084360291","https://openalex.org/W2084740841","https://openalex.org/W2130381000","https://openalex.org/W2133124628","https://openalex.org/W2141870784","https://openalex.org/W2150606825","https://openalex.org/W2168543121","https://openalex.org/W2184496361","https://openalex.org/W2567067827","https://openalex.org/W2583873649","https://openalex.org/W2606121605","https://openalex.org/W2757493492","https://openalex.org/W2802225997","https://openalex.org/W2883272175","https://openalex.org/W2917129254","https://openalex.org/W3121057024","https://openalex.org/W3146410598","https://openalex.org/W4212783130","https://openalex.org/W4246327874","https://openalex.org/W4301909677","https://openalex.org/W4384008232"],"related_works":["https://openalex.org/W3157581606","https://openalex.org/W2042846224","https://openalex.org/W2113830538","https://openalex.org/W2358905935","https://openalex.org/W2942315554","https://openalex.org/W2804461272","https://openalex.org/W2040391781","https://openalex.org/W2375237787","https://openalex.org/W2382988560","https://openalex.org/W4322732133"],"abstract_inverted_index":{"AbstractWe":[0],"introduce":[1],"a":[2,59],"new":[3,28],"block":[4],"preconditioner":[5,22,88],"for":[6,122],"the":[7,27,45,55,71,85,94,120,123,133,136,146],"solution":[8,95],"of":[9,30,44,70,87,96,100,135,141],"weighted":[10,101],"Toeplitz":[11,102,108],"regularized":[12,103],"least-squares":[13,104],"problems":[14],"written":[15],"in":[16,35,93,131],"augmented":[17,97],"system":[18,98],"form.":[19],"The":[20],"proposed":[21],"is":[23,48],"obtained":[24],"based":[25],"on":[26],"splitting":[29],"coefficient":[31],"matrix":[32,47,57],"which":[33,64,128],"results":[34],"an":[36],"unconditionally":[37],"convergent":[38],"stationary":[39],"iterative":[40],"method.":[41],"Spectral":[42],"analysis":[43],"preconditioned":[46,56,72],"investigated.":[49],"In":[50],"particular,":[51],"we":[52],"show":[53],"that":[54],"has":[58],"very":[60],"nice":[61],"eigenvalue":[62],"distribution":[63],"can":[65],"lead":[66],"to":[67,83,119],"fast":[68],"convergence":[69],"Krylov":[73],"subspace":[74],"methods":[75],"such":[76],"as":[77],"GMRES.":[78],"Numerical":[79],"experiments":[80],"are":[81],"reported":[82,144],"demonstrate":[84],"performance":[86],"used":[89],"with":[90],"GMRES":[91],"method":[92],"form":[99],"problems.Keywords:":[105],"Preconditioningsplittingleast-squares":[106],"problemsweighted":[107],"matrices2010":[109],"AMS":[110],"Subject":[111],"Classifications:":[112],"65F1065F50":[113],"AcknowledgmentsThe":[114],"authors":[115],"express":[116],"their":[117],"thanks":[118],"referees":[121],"comments":[124],"and":[125],"constructive":[126],"suggestions,":[127],"were":[129],"valuable":[130],"improving":[132],"quality":[134],"manuscript.Disclosure":[137],"statementNo":[138],"potential":[139],"conflict":[140],"interest":[142],"was":[143],"by":[145],"author(s).":[147]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
