{"id":"https://openalex.org/W2731910434","doi":"https://doi.org/10.1080/00207160.2017.1346241","title":"Combining line search and trust-region methods for<b>\u21131</b>-minimization","display_name":"Combining line search and trust-region methods for<b>\u21131</b>-minimization","publication_year":2017,"publication_date":"2017-06-27","ids":{"openalex":"https://openalex.org/W2731910434","doi":"https://doi.org/10.1080/00207160.2017.1346241","mag":"2731910434"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2017.1346241","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2017.1346241","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/A5037760559","display_name":"Hamid Esmaeili","orcid":null},"institutions":[{"id":"https://openalex.org/I167694869","display_name":"Bu-Ali Sina University","ror":"https://ror.org/04ka8rx28","country_code":"IR","type":"education","lineage":["https://openalex.org/I167694869"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Hamid Esmaeili","raw_affiliation_strings":["Department of Mathematics, Bu-Ali Sina University, Hamedan, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bu-Ali Sina University, Hamedan, Iran","institution_ids":["https://openalex.org/I167694869"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038105873","display_name":"M. Rostami","orcid":"https://orcid.org/0000-0002-2157-9539"},"institutions":[{"id":"https://openalex.org/I167694869","display_name":"Bu-Ali Sina University","ror":"https://ror.org/04ka8rx28","country_code":"IR","type":"education","lineage":["https://openalex.org/I167694869"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Majid Rostami","raw_affiliation_strings":["Department of Mathematics, Bu-Ali Sina University, Hamedan, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bu-Ali Sina University, Hamedan, Iran","institution_ids":["https://openalex.org/I167694869"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071039515","display_name":"Morteza Kimiaei","orcid":"https://orcid.org/0000-0002-7973-3770"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Morteza Kimiaei","raw_affiliation_strings":["Faculty of Mathematics, University of Vienna, Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, University of Vienna, Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5037760559"],"corresponding_institution_ids":["https://openalex.org/I167694869"],"apc_list":null,"apc_paid":null,"fwci":0.2401,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.52893062,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"95","issue":"10","first_page":"1950","last_page":"1972"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"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":1.0,"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/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9965000152587891,"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/line-search","display_name":"Line search","score":0.9038701057434082},{"id":"https://openalex.org/keywords/trust-region","display_name":"Trust region","score":0.8777614831924438},{"id":"https://openalex.org/keywords/deblurring","display_name":"Deblurring","score":0.7318329811096191},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.7169857621192932},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6710745096206665},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6461539268493652},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5873780846595764},{"id":"https://openalex.org/keywords/shrinkage","display_name":"Shrinkage","score":0.57887202501297},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5628092288970947},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5299994349479675},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5009570121765137},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.43581828474998474},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.40726202726364136},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40174853801727295},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2849118113517761},{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.16151970624923706},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.12402185797691345},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07671505212783813},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.062149375677108765}],"concepts":[{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.9038701057434082},{"id":"https://openalex.org/C89109886","wikidata":"https://www.wikidata.org/wiki/Q1535924","display_name":"Trust region","level":3,"score":0.8777614831924438},{"id":"https://openalex.org/C2777693668","wikidata":"https://www.wikidata.org/wiki/Q25053743","display_name":"Deblurring","level":5,"score":0.7318329811096191},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.7169857621192932},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6710745096206665},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6461539268493652},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5873780846595764},{"id":"https://openalex.org/C180145272","wikidata":"https://www.wikidata.org/wiki/Q7504144","display_name":"Shrinkage","level":2,"score":0.57887202501297},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5628092288970947},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5299994349479675},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5009570121765137},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.43581828474998474},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.40726202726364136},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40174853801727295},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2849118113517761},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.16151970624923706},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.12402185797691345},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07671505212783813},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.062149375677108765},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2017.1346241","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2017.1346241","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W8821478","https://openalex.org/W340244495","https://openalex.org/W1963929415","https://openalex.org/W1966884374","https://openalex.org/W1982941867","https://openalex.org/W1996989321","https://openalex.org/W2013030361","https://openalex.org/W2015292809","https://openalex.org/W2022611944","https://openalex.org/W2023722580","https://openalex.org/W2028349405","https://openalex.org/W2039050532","https://openalex.org/W2043430160","https://openalex.org/W2065028132","https://openalex.org/W2067425611","https://openalex.org/W2076605490","https://openalex.org/W2079654589","https://openalex.org/W2083042020","https://openalex.org/W2091091836","https://openalex.org/W2100556411","https://openalex.org/W2109449402","https://openalex.org/W2110505738","https://openalex.org/W2115706991","https://openalex.org/W2126607811","https://openalex.org/W2135678277","https://openalex.org/W2149454052","https://openalex.org/W2158252006","https://openalex.org/W2160632209","https://openalex.org/W2164278908","https://openalex.org/W2164452299","https://openalex.org/W2196956961","https://openalex.org/W2296616510","https://openalex.org/W2486545612","https://openalex.org/W2551073634","https://openalex.org/W2951870246","https://openalex.org/W3124114587","https://openalex.org/W4250955649","https://openalex.org/W4292363360","https://openalex.org/W4300263211","https://openalex.org/W4301014524"],"related_works":["https://openalex.org/W2058731384","https://openalex.org/W2107915509","https://openalex.org/W2204405059","https://openalex.org/W2080108722","https://openalex.org/W2039676703","https://openalex.org/W2526664560","https://openalex.org/W2393058368","https://openalex.org/W2091091836","https://openalex.org/W2914606650","https://openalex.org/W2368213454"],"abstract_inverted_index":{"This":[0],"study":[1],"presents":[2],"a":[3,26,31,51,63,97,111],"new":[4,32,112],"trust-region":[5,40,90],"algorithm":[6],"to":[7,14,29,110],"solve":[8],"the":[9,39,67,76,81,88,116,125,130],"\u21131-minimization":[10],"problem":[11],"with":[12,25,58,96],"applications":[13],"compressed":[15],"sensing":[16],"(CS)":[17],"and":[18,45,75,91,124],"image":[19],"deblurring":[20],"that":[21,103],"will":[22],"be":[23],"augmented":[24],"shrinkage":[27,59,98,107],"operation":[28],"produce":[30],"iteration":[33],"whenever":[34],"an":[35,105],"approximated":[36],"solution":[37],"of":[38,66,71,86,118,129],"subproblem":[41],"lies":[42],"within":[43],"one":[44],"iterate":[46],"is":[47,101],"successful,":[48],"simultaneously.":[49],"Otherwise,":[50],"nonmonotone":[52,92],"Armijo-type":[53,93],"line":[54,94],"search":[55,95],"strategy":[56],"incorporates":[57],"technique,":[60],"which":[61,136],"includes":[62],"convex":[64],"combination":[65],"maximum":[68],"function":[69,78],"value":[70],"some":[72],"preceding":[73],"iterates":[74],"current":[77],"value.":[79],"Therefore,":[80],"proposed":[82,131],"approach":[83,132],"takes":[84],"advantages":[85],"both":[87],"effective":[89],"operation.":[99],"It":[100],"believed":[102],"selecting":[104],"appropriate":[106],"parameter":[108],"according":[109],"procedure":[113],"can":[114],"improve":[115],"efficiency":[117],"our":[119],"algorithm.":[120],"The":[121],"global":[122],"convergence":[123,127],"R-linear":[126],"rate":[128],"are":[133,139],"proved":[134],"for":[135],"numerical":[137],"results":[138],"also":[140],"reported.":[141]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}