{"id":"https://openalex.org/W3212551358","doi":"https://doi.org/10.1007/s11075-021-01229-z","title":"A new step size rule for the superiorization method and its application in computerized tomography","display_name":"A new step size rule for the superiorization method and its application in computerized tomography","publication_year":2021,"publication_date":"2021-11-17","ids":{"openalex":"https://openalex.org/W3212551358","doi":"https://doi.org/10.1007/s11075-021-01229-z","mag":"3212551358"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-021-01229-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-021-01229-z","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-181470","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087883807","display_name":"Touraj Nikazad","orcid":"https://orcid.org/0000-0002-9704-2893"},"institutions":[{"id":"https://openalex.org/I67009956","display_name":"Iran University of Science and Technology","ror":"https://ror.org/01jw2p796","country_code":"IR","type":"education","lineage":["https://openalex.org/I67009956"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"T. Nikazad","raw_affiliation_strings":["School of Mathematics, Applied Mathematics Department, Iran University of Science and Technology, 16846-13114, Tehran, Iran"],"raw_orcid":"https://orcid.org/0000-0002-9704-2893","affiliations":[{"raw_affiliation_string":"School of Mathematics, Applied Mathematics Department, Iran University of Science and Technology, 16846-13114, Tehran, Iran","institution_ids":["https://openalex.org/I67009956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020415571","display_name":"M. Abbasi","orcid":"https://orcid.org/0000-0001-8768-2021"},"institutions":[{"id":"https://openalex.org/I184468904","display_name":"University of Qom","ror":"https://ror.org/03ddeer04","country_code":"IR","type":"education","lineage":["https://openalex.org/I184468904"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"M. Abbasi","raw_affiliation_strings":["Department of Mathematics, University of Qom, 37161-46611, Qom, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Qom, 37161-46611, Qom, Iran","institution_ids":["https://openalex.org/I184468904"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037613302","display_name":"Laya Afzalipour","orcid":null},"institutions":[{"id":"https://openalex.org/I67009956","display_name":"Iran University of Science and Technology","ror":"https://ror.org/01jw2p796","country_code":"IR","type":"education","lineage":["https://openalex.org/I67009956"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"L. Afzalipour","raw_affiliation_strings":["School of Mathematics, Applied Mathematics Department, Iran University of Science and Technology, 16846-13114, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Applied Mathematics Department, Iran University of Science and Technology, 16846-13114, Tehran, Iran","institution_ids":["https://openalex.org/I67009956"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012790408","display_name":"Tommy Elfving","orcid":null},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"T. Elfving","raw_affiliation_strings":["Department of Mathematics, Link\u00f6ping University, SE-581 83, Link\u00f6ping, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Link\u00f6ping University, SE-581 83, Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087883807"],"corresponding_institution_ids":["https://openalex.org/I67009956"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":1.7248,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.83413722,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"90","issue":"3","first_page":"1253","last_page":"1277"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","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/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/subgradient-method","display_name":"Subgradient method","score":0.7489144206047058},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7160825133323669},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6470998525619507},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5519039630889893},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.519871711730957},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4772874414920807},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4622582793235779},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.456545352935791},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.4471582770347595},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4408072829246521},{"id":"https://openalex.org/keywords/thresholding","display_name":"Thresholding","score":0.4268397092819214},{"id":"https://openalex.org/keywords/line-search","display_name":"Line search","score":0.42588362097740173},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37105339765548706},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2673780918121338},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.15353256464004517},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12348806858062744}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.7489144206047058},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7160825133323669},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6470998525619507},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5519039630889893},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.519871711730957},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4772874414920807},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4622582793235779},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.456545352935791},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.4471582770347595},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4408072829246521},{"id":"https://openalex.org/C191178318","wikidata":"https://www.wikidata.org/wiki/Q2256906","display_name":"Thresholding","level":3,"score":0.4268397092819214},{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.42588362097740173},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37105339765548706},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2673780918121338},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.15353256464004517},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12348806858062744},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11075-021-01229-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-021-01229-z","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:DiVA.org:liu-181470","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-181470","pdf_url":null,"source":{"id":"https://openalex.org/S4306400838","display_name":"DiVA (Linkoping University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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:DiVA.org:liu-181470","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-181470","pdf_url":null,"source":{"id":"https://openalex.org/S4306400838","display_name":"DiVA (Linkoping University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W198508004","https://openalex.org/W613392520","https://openalex.org/W1515429414","https://openalex.org/W1741578612","https://openalex.org/W1908006783","https://openalex.org/W1965013875","https://openalex.org/W1965018134","https://openalex.org/W1990919278","https://openalex.org/W1997074985","https://openalex.org/W2010315317","https://openalex.org/W2011347843","https://openalex.org/W2021350473","https://openalex.org/W2022330448","https://openalex.org/W2033511209","https://openalex.org/W2045526807","https://openalex.org/W2058583833","https://openalex.org/W2076428552","https://openalex.org/W2091083692","https://openalex.org/W2099454114","https://openalex.org/W2100556411","https://openalex.org/W2146418213","https://openalex.org/W2159909156","https://openalex.org/W2171943642","https://openalex.org/W2312518938","https://openalex.org/W2507011108","https://openalex.org/W2583523347","https://openalex.org/W2594107622","https://openalex.org/W2594408261","https://openalex.org/W2755248012","https://openalex.org/W2767053458","https://openalex.org/W2796095528","https://openalex.org/W2963341355","https://openalex.org/W3099167956","https://openalex.org/W3103148356","https://openalex.org/W3104213307","https://openalex.org/W3121715641","https://openalex.org/W3123795360","https://openalex.org/W3217247658","https://openalex.org/W4298264214","https://openalex.org/W4302564868"],"related_works":["https://openalex.org/W1984031944","https://openalex.org/W2018215034","https://openalex.org/W4310488135","https://openalex.org/W2005562358","https://openalex.org/W4224229293","https://openalex.org/W1990626142","https://openalex.org/W3107945686","https://openalex.org/W2381924799","https://openalex.org/W3080334989","https://openalex.org/W4364382936"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
