{"id":"https://openalex.org/W4396917308","doi":"https://doi.org/10.1051/ro/2024102","title":"On diagonally structured scheme for nonlinear least squares and data-fitting problems","display_name":"On diagonally structured scheme for nonlinear least squares and data-fitting problems","publication_year":2024,"publication_date":"2024-05-15","ids":{"openalex":"https://openalex.org/W4396917308","doi":"https://doi.org/10.1051/ro/2024102"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2024102","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2024102","pdf_url":null,"source":{"id":"https://openalex.org/S4393919633","display_name":"RAIRO. Operations research","issn_l":"2804-7303","issn":["2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1051/ro/2024102","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059870774","display_name":"Mahmoud Muhammad Yahaya","orcid":"https://orcid.org/0000-0002-6915-2630"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mahmoud Muhammad Yahaya","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036720066","display_name":"Poom Kumam","orcid":"https://orcid.org/0000-0002-5463-4581"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Poom Kumam","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018646265","display_name":"Parin Chaipunya","orcid":"https://orcid.org/0000-0002-0207-6098"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Parin Chaipunya","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030789895","display_name":"Aliyu Muhammed Awwal","orcid":"https://orcid.org/0000-0002-1040-3626"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Aliyu Muhammed Awwal","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100403202","display_name":"Lin Wang","orcid":"https://orcid.org/0000-0002-8122-377X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lin Wang","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5059870774"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.9735,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.89875906,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"58","issue":"4","first_page":"2887","last_page":"2905"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.9624000191688538,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T13487","display_name":"Statistical and numerical algorithms","score":0.9624000191688538,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/non-linear-least-squares","display_name":"Non-linear least squares","score":0.632444441318512},{"id":"https://openalex.org/keywords/diagonally-dominant-matrix","display_name":"Diagonally dominant matrix","score":0.6171796321868896},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5506809949874878},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5264003276824951},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5095298886299133},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.4957500398159027},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.47169092297554016},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45213738083839417},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.44555097818374634},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3317619562149048},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.23407527804374695},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22723448276519775},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21377906203269958},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.12823274731636047},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11354291439056396},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10968479514122009},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.08448344469070435}],"concepts":[{"id":"https://openalex.org/C45923927","wikidata":"https://www.wikidata.org/wiki/Q3319230","display_name":"Non-linear least squares","level":3,"score":0.632444441318512},{"id":"https://openalex.org/C84507854","wikidata":"https://www.wikidata.org/wiki/Q952222","display_name":"Diagonally dominant matrix","level":3,"score":0.6171796321868896},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5506809949874878},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5264003276824951},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5095298886299133},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.4957500398159027},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.47169092297554016},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45213738083839417},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.44555097818374634},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3317619562149048},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.23407527804374695},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22723448276519775},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21377906203269958},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.12823274731636047},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11354291439056396},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10968479514122009},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.08448344469070435},{"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":2,"locations":[{"id":"doi:10.1051/ro/2024102","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2024102","pdf_url":null,"source":{"id":"https://openalex.org/S4393919633","display_name":"RAIRO. Operations research","issn_l":"2804-7303","issn":["2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:edpsciences.org:dkey/10.1051/ro/2024102","is_oa":true,"landing_page_url":"https://www.rairo-ro.org/10.1051/ro/2024102/pdf","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro220572.pdf","source":{"id":"https://openalex.org/S4306400744","display_name":"Springer Link (Chiba Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I8488066","host_organization_name":"Chiba Institute of Technology","host_organization_lineage":["https://openalex.org/I8488066"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1051/ro/2024102","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1051/ro/2024102","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2024102","pdf_url":null,"source":{"id":"https://openalex.org/S4393919633","display_name":"RAIRO. Operations research","issn_l":"2804-7303","issn":["2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322818","display_name":"King Mongkut's University of Technology Thonburi","ror":"https://ror.org/0057ax056"},{"id":"https://openalex.org/F4320329659","display_name":"Thailand Science Research and Innovation","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W2012341322","https://openalex.org/W2038742368","https://openalex.org/W2056603712","https://openalex.org/W2084371857","https://openalex.org/W2119401655","https://openalex.org/W2167137033","https://openalex.org/W2298107905","https://openalex.org/W2888991842","https://openalex.org/W2895570191","https://openalex.org/W2897250035","https://openalex.org/W3112097680","https://openalex.org/W3154158382","https://openalex.org/W3168065008","https://openalex.org/W3179275456","https://openalex.org/W4207085431","https://openalex.org/W4327564986","https://openalex.org/W4396917308"],"related_works":["https://openalex.org/W2136336099","https://openalex.org/W2550293690","https://openalex.org/W2026673180","https://openalex.org/W1959514624","https://openalex.org/W200101083","https://openalex.org/W2939592218","https://openalex.org/W2359835307","https://openalex.org/W1529195008","https://openalex.org/W327962130","https://openalex.org/W4380487384"],"abstract_inverted_index":{"Recently,":[0],"structured":[1,65],"nonlinear":[2],"least-squares":[3],"(NLS)":[4],"based":[5,55],"algorithms":[6,22],"gained":[7],"considerable":[8],"emphasis":[9],"from":[10,16],"researchers;":[11],"this":[12,30],"attention":[13],"may":[14],"result":[15],"increasingly":[17],"applicable":[18],"areas":[19],"of":[20,92],"these":[21],"in":[23,130],"different":[24],"science":[25],"and":[26,95],"engineering":[27],"domains.":[28],"In":[29],"article,":[31],"we":[32,69,86,115],"coined":[33],"a":[34,42,57,63,77],"new":[35],"efficient":[36],"structured-based":[37],"NLS":[38,48],"algorithm.":[39],"We":[40,50],"developed":[41],"diagonal":[43,58],"Hessian-based":[44],"formulation":[45],"for":[46,103],"solving":[47],"problems.":[49],"derived":[51],"the":[52,72,89,93,111,131,134],"quasi-Newton":[53],"update":[54],"on":[56,124],"matrix":[59],"scheme":[60,136],"subject":[61],"to":[62,108,139],"modified":[64],"secant":[66],"condition.":[67],"Also,":[68],"show":[70,98,109],"that":[71],"algorithm\u2019s":[73,113],"search":[74],"direction":[75],"satisfies":[76],"sufficient":[78],"descent":[79],"condition":[80],"under":[81],"some":[82,125,141],"standard":[83],"assumptions.":[84],"Subsequently,":[85],"also":[87],"prove":[88],"global":[90],"convergence":[91,101],"algorithm":[94],"then":[96],"eventually":[97],"its":[99],"linear":[100],"rate":[102],"strongly":[104],"convex":[105],"functions.":[106],"Furthermore,":[107],"case":[110],"proposed":[112],"performance,":[114],"experimented":[116],"numerically":[117],"by":[118],"comparing":[119],"it":[120],"with":[121],"other":[122],"approaches":[123],"benchmark":[126],"test":[127],"functions":[128],"available":[129],"literature.":[132],"Finally,":[133],"introduced":[135],"is":[137],"applied":[138],"solve":[140],"data-fitting":[142],"problems":[143]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
