{"id":"https://openalex.org/W1859434065","doi":"https://doi.org/10.1137/140967982","title":"A Generalized Krylov Subspace Method for $\\ell_p$-$\\ell_q$ Minimization","display_name":"A Generalized Krylov Subspace Method for $\\ell_p$-$\\ell_q$ Minimization","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W1859434065","doi":"https://doi.org/10.1137/140967982","mag":"1859434065"},"language":"en","primary_location":{"id":"doi:10.1137/140967982","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140967982","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://epubs.siam.org/doi/10.1137/140967982","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017232084","display_name":"Alessandro Lanza","orcid":"https://orcid.org/0000-0002-4904-0682"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"A. Lanza","raw_affiliation_strings":["Department of Mathematics, University of Bologna, Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058921917","display_name":"Serena Morigi","orcid":"https://orcid.org/0000-0001-8334-8798"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"S. Morigi","raw_affiliation_strings":["Department of Mathematics, University of Bologna, Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072817181","display_name":"Lothar Reichel","orcid":"https://orcid.org/0000-0003-1729-6816"},"institutions":[{"id":"https://openalex.org/I149910238","display_name":"Kent State University","ror":"https://ror.org/049pfb863","country_code":"US","type":"education","lineage":["https://openalex.org/I149910238"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"L. Reichel","raw_affiliation_strings":["Department of Mathematical Sciences, Kent State University, Kent, OH 44242"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Kent State University, Kent, OH 44242","institution_ids":["https://openalex.org/I149910238"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081534186","display_name":"Fiorella Sgallari","orcid":"https://orcid.org/0000-0002-9166-8879"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"F. Sgallari","raw_affiliation_strings":["Department of Mathematics, University of Bologna, Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5072817181"],"corresponding_institution_ids":["https://openalex.org/I149910238"],"apc_list":null,"apc_paid":null,"fwci":2.5858,"has_fulltext":false,"cited_by_count":67,"citation_normalized_percentile":{"value":0.87876747,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"37","issue":"5","first_page":"S30","last_page":"S50"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998000264167786,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998000264167786,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8849295377731323},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.8621852397918701},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.8517752885818481},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.7178717851638794},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.6509475708007812},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5230289697647095},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5219340324401855},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.39764347672462463},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36915671825408936},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3640526533126831},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3562217950820923},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.28509512543678284},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21707111597061157}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8849295377731323},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.8621852397918701},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.8517752885818481},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.7178717851638794},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6509475708007812},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5230289697647095},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5219340324401855},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.39764347672462463},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36915671825408936},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3640526533126831},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3562217950820923},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28509512543678284},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21707111597061157}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/140967982","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140967982","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:cris.unibo.it:11585/521532","is_oa":true,"landing_page_url":"https://epubs.siam.org/doi/10.1137/140967982","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"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":"pmh:oai:cris.unibo.it:11585/521532","is_oa":true,"landing_page_url":"https://epubs.siam.org/doi/10.1137/140967982","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"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"},"sustainable_development_goals":[{"score":0.5600000023841858,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W64572908","https://openalex.org/W1449687284","https://openalex.org/W1826065584","https://openalex.org/W1967722387","https://openalex.org/W1972510094","https://openalex.org/W1980461259","https://openalex.org/W1981487911","https://openalex.org/W1998762105","https://openalex.org/W2002916884","https://openalex.org/W2004675040","https://openalex.org/W2022824911","https://openalex.org/W2024368976","https://openalex.org/W2040517289","https://openalex.org/W2041150247","https://openalex.org/W2042607762","https://openalex.org/W2042873748","https://openalex.org/W2059130945","https://openalex.org/W2077410574","https://openalex.org/W2100556411","https://openalex.org/W2103559027","https://openalex.org/W2107604145","https://openalex.org/W2145096794","https://openalex.org/W2146944586","https://openalex.org/W2148062657","https://openalex.org/W4250955649"],"related_works":["https://openalex.org/W4287116713","https://openalex.org/W3177390835","https://openalex.org/W3081370402","https://openalex.org/W4289543869","https://openalex.org/W4287686225","https://openalex.org/W4382322618","https://openalex.org/W3123967035","https://openalex.org/W1486551017","https://openalex.org/W2375955321","https://openalex.org/W2160089699"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,61,71,76],"new":[4],"efficient":[5],"approach":[6],"for":[7,41],"the":[8,11,17,36,42,81],"solution":[9],"of":[10,19,27,44,70],"$\\ell_p$-$\\ell_q$":[12],"minimization":[13],"problem":[14],"based":[15],"on":[16],"application":[18],"successive":[20],"orthogonal":[21],"projections":[22],"onto":[23],"generalized":[24],"Krylov":[25],"subspaces":[26,31],"increasing":[28],"dimension.":[29],"The":[30,68],"are":[32],"generated":[33],"according":[34],"to":[35,57,64],"iteratively":[37],"reweighted":[38],"least-squares":[39],"strategy":[40],"approximation":[43],"$\\ell_p$/$\\ell_q$-norms":[45],"by":[46],"weighted":[47],"$\\ell_2$-norms.":[48],"Computed":[49],"image":[50],"restoration":[51],"examples":[52],"illustrate":[53],"that":[54],"it":[55],"suffices":[56],"carry":[58],"out":[59],"only":[60],"few":[62],"iterations":[63],"achieve":[65],"high-quality":[66],"restorations.":[67],"combination":[69],"low":[72],"iteration":[73],"count":[74],"and":[75],"modest":[77],"storage":[78],"requirement":[79],"makes":[80],"proposed":[82],"method":[83],"attractive.":[84]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
