{"id":"https://openalex.org/W2091996560","doi":"https://doi.org/10.1155/2007/85606","title":"Regularizing Inverse Preconditioners for Symmetric Band Toeplitz Matrices","display_name":"Regularizing Inverse Preconditioners for Symmetric Band Toeplitz Matrices","publication_year":2007,"publication_date":"2007-04-30","ids":{"openalex":"https://openalex.org/W2091996560","doi":"https://doi.org/10.1155/2007/85606","mag":"2091996560"},"language":"en","primary_location":{"id":"doi:10.1155/2007/85606","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2007/85606","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2007/85606","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2007/85606","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062916710","display_name":"Paola Favati","orcid":"https://orcid.org/0000-0003-0382-3195"},"institutions":[{"id":"https://openalex.org/I4210130157","display_name":"Institute of Informatics and Telematics","ror":"https://ror.org/02gdcn153","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210130157","https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"P. Favati","raw_affiliation_strings":["Istituto di Informatica e Telematica (IIT), CNR, Via G. Moruzzi 1, Pisa, 56124, Italy","Istituto di Informatica e Telematica (IIT), CNR, Pisa, Italy#TAB#"],"affiliations":[{"raw_affiliation_string":"Istituto di Informatica e Telematica (IIT), CNR, Via G. Moruzzi 1, Pisa, 56124, Italy","institution_ids":["https://openalex.org/I4210130157"]},{"raw_affiliation_string":"Istituto di Informatica e Telematica (IIT), CNR, Pisa, Italy#TAB#","institution_ids":["https://openalex.org/I4210130157"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027300466","display_name":"G. Lotti","orcid":"https://orcid.org/0000-0002-3299-1967"},"institutions":[{"id":"https://openalex.org/I124601658","display_name":"University of Parma","ror":"https://ror.org/02k7wn190","country_code":"IT","type":"education","lineage":["https://openalex.org/I124601658"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"G. Lotti","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Parma, Parco Area delle Scienze 53/A, Parma, 43100, Italy","Dipartimento Di Matematica, Universit\u00e0 di Parma, Parma, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Parma, Parco Area delle Scienze 53/A, Parma, 43100, Italy","institution_ids":["https://openalex.org/I124601658"]},{"raw_affiliation_string":"Dipartimento Di Matematica, Universit\u00e0 di Parma, Parma, Italy","institution_ids":["https://openalex.org/I124601658"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008473020","display_name":"O. Menchi","orcid":null},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"O. Menchi","raw_affiliation_strings":["Dipartimento di Informatica, Universit\u00e0 di Pisa, Largo Pontecorvo 3, Pisa, 56127, Italy","Dipartimento di Inform\u00e1tica, Universit\u00e1 di Pisa, Pisa, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica, Universit\u00e0 di Pisa, Largo Pontecorvo 3, Pisa, 56127, Italy","institution_ids":["https://openalex.org/I108290504"]},{"raw_affiliation_string":"Dipartimento di Inform\u00e1tica, Universit\u00e1 di Pisa, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5062916710"],"corresponding_institution_ids":["https://openalex.org/I4210130157"],"apc_list":{"value":1140,"currency":"GBP","value_usd":1398},"apc_paid":{"value":1140,"currency":"GBP","value_usd":1398},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17848539,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2007","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9991000294685364,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.9387241005897522},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.8945000171661377},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6291064023971558},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.6137216091156006},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5516541600227356},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47477269172668457},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4645167887210846},{"id":"https://openalex.org/keywords/levinson-recursion","display_name":"Levinson recursion","score":0.4487723410129547},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43246689438819885},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.41625523567199707},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28167009353637695},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23690959811210632},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12942728400230408},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09438347816467285},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06612280011177063}],"concepts":[{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.9387241005897522},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.8945000171661377},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6291064023971558},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6137216091156006},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5516541600227356},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47477269172668457},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4645167887210846},{"id":"https://openalex.org/C122212055","wikidata":"https://www.wikidata.org/wiki/Q11679774","display_name":"Levinson recursion","level":3,"score":0.4487723410129547},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43246689438819885},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.41625523567199707},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28167009353637695},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23690959811210632},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12942728400230408},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09438347816467285},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06612280011177063}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1155/2007/85606","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2007/85606","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2007/85606","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arpi.unipi.it:11568/116448","is_oa":false,"landing_page_url":"http://hdl.handle.net/11568/116448","pdf_url":null,"source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:39b26d6eedcb42f480c470b2a88777fe","is_oa":true,"landing_page_url":"https://doaj.org/article/39b26d6eedcb42f480c470b2a88777fe","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Advances in Signal Processing, Vol 2007, Iss 1, p 085606 (2007)","raw_type":"article"},{"id":"pmh:oai:doaj.org/article:896fcb631d344623b809ff380a259634","is_oa":true,"landing_page_url":"https://doaj.org/article/896fcb631d344623b809ff380a259634","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Advances in Signal Processing, Vol 2007 (2007)","raw_type":"article"},{"id":"pmh:oai:zenodo.org:105583","is_oa":true,"landing_page_url":"https://www.openaccessrepository.it/record/105583","pdf_url":null,"source":{"id":"https://openalex.org/S4306402478","display_name":"INFM-OAR (INFN Catania)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210116497","host_organization_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Catania","host_organization_lineage":["https://openalex.org/I4210116497"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1155/2007/85606","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2007/85606","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2007/85606","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.800000011920929,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2091996560.pdf","grobid_xml":"https://content.openalex.org/works/W2091996560.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W137080027","https://openalex.org/W605044866","https://openalex.org/W1507705802","https://openalex.org/W1542258000","https://openalex.org/W1594234351","https://openalex.org/W1968195594","https://openalex.org/W1975696503","https://openalex.org/W1986721151","https://openalex.org/W1988604968","https://openalex.org/W1995772663","https://openalex.org/W2015234991","https://openalex.org/W2045463928","https://openalex.org/W2047646121","https://openalex.org/W2051015700","https://openalex.org/W2053189442","https://openalex.org/W2059586807","https://openalex.org/W2072820862","https://openalex.org/W2094067340","https://openalex.org/W2094124545","https://openalex.org/W2095115886","https://openalex.org/W2140064412","https://openalex.org/W2341059552","https://openalex.org/W2568342123","https://openalex.org/W2798909945","https://openalex.org/W4388534025"],"related_works":["https://openalex.org/W2349424752","https://openalex.org/W2045714585","https://openalex.org/W2374553943","https://openalex.org/W1654107233","https://openalex.org/W1987843132","https://openalex.org/W2182312572","https://openalex.org/W2201692517","https://openalex.org/W2383680446","https://openalex.org/W1976328887","https://openalex.org/W1981369412"],"abstract_inverted_index":{"Image":[0],"restoration":[1],"is":[2,92,96],"a":[3,35,47,52,83,112],"widely":[4],"studied":[5],"discrete":[6],"ill-posed":[7],"problem.":[8],"Among":[9],"the":[10,17,32,65,97,101,118,125,134],"many":[11],"regularization":[12],"methods":[13,20],"used":[14],"for":[15,80],"treating":[16],"problem,":[18],"iterative":[19],"have":[21],"been":[22],"shown":[23],"to":[24,63,70,120],"be":[25],"effective.":[26],"In":[27,61,104],"this":[28,105],"paper,":[29,106],"we":[30,107],"consider":[31],"case":[33],"of":[34,67,93,100,128],"blurring":[36],"function":[37],"defined":[38],"by":[39,46],"space":[40],"invariant":[41],"and":[42,121,130],"band-limited":[43],"PSF,":[44],"modeled":[45],"linear":[48],"system":[49],"that":[50],"has":[51],"band":[53,58,113],"block":[54],"Toeplitz":[55,59,78,84,114,136],"structure":[56,85],"with":[57,82,111],"blocks.":[60],"order":[62],"reduce":[64],"number":[66,99],"iterations":[68],"required":[69],"obtain":[71],"acceptable":[72],"reconstructions,":[73],"in":[74,122],"13":[75],"an":[76],"inverse":[77,109,135],"preconditioner":[79],"problems":[81],"was":[86],"proposed.":[87],"The":[88],"cost":[89,119],"per":[90],"iteration":[91],"operations,":[94],"where":[95],"pixel":[98],"2D":[102],"image.":[103],"propose":[108],"preconditioners":[110],"structure,":[115],"which":[116],"lower":[117],"experiments":[123],"showed":[124],"same":[126],"speed":[127],"convergence":[129],"reconstruction":[131],"efficiency":[132],"as":[133],"preconditioner.":[137]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}
