{"id":"https://openalex.org/W1999966354","doi":"https://doi.org/10.1137/0913046","title":"A Parallel Nonlinear Least-Squares Solver: Theoretical Analysis and Numerical Results","display_name":"A Parallel Nonlinear Least-Squares Solver: Theoretical Analysis and Numerical Results","publication_year":1992,"publication_date":"1992-05-01","ids":{"openalex":"https://openalex.org/W1999966354","doi":"https://doi.org/10.1137/0913046","mag":"1999966354"},"language":"en","primary_location":{"id":"doi:10.1137/0913046","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0913046","pdf_url":null,"source":{"id":"https://openalex.org/S4210181992","display_name":"SIAM Journal on Scientific and Statistical Computing","issn_l":"0196-5204","issn":["0196-5204","2168-3417"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 and Statistical Computing","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/A5103420876","display_name":"Thomas F. Coleman","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Thomas F. Coleman","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5069052130","display_name":"Paul E. Plassmann","orcid":"https://orcid.org/0000-0001-5413-474X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Paul E. Plassmann","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9214,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.85266308,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"13","issue":"3","first_page":"771","last_page":"793"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/intel-ipsc","display_name":"Intel iPSC","score":0.8088926672935486},{"id":"https://openalex.org/keywords/multiprocessing","display_name":"Multiprocessing","score":0.7553945779800415},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.7366626262664795},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7102392315864563},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6542575359344482},{"id":"https://openalex.org/keywords/parallel-algorithm","display_name":"Parallel algorithm","score":0.615319013595581},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5460914373397827},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47558796405792236},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.44755980372428894}],"concepts":[{"id":"https://openalex.org/C199115840","wikidata":"https://www.wikidata.org/wiki/Q108649754","display_name":"Intel iPSC","level":3,"score":0.8088926672935486},{"id":"https://openalex.org/C4822641","wikidata":"https://www.wikidata.org/wiki/Q846651","display_name":"Multiprocessing","level":2,"score":0.7553945779800415},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.7366626262664795},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7102392315864563},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6542575359344482},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.615319013595581},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5460914373397827},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47558796405792236},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.44755980372428894},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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":1,"locations":[{"id":"doi:10.1137/0913046","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0913046","pdf_url":null,"source":{"id":"https://openalex.org/S4210181992","display_name":"SIAM Journal on Scientific and Statistical Computing","issn_l":"0196-5204","issn":["0196-5204","2168-3417"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 and Statistical Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4399999976158142,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1516330168","https://openalex.org/W1966058269","https://openalex.org/W1978723563","https://openalex.org/W2001053114","https://openalex.org/W2001824468","https://openalex.org/W2015656182","https://openalex.org/W2030282193","https://openalex.org/W2061491806","https://openalex.org/W2087070363","https://openalex.org/W2236623899","https://openalex.org/W2256578114"],"related_works":["https://openalex.org/W2050801500","https://openalex.org/W1997332808","https://openalex.org/W1562395513","https://openalex.org/W2170745229","https://openalex.org/W1577474918","https://openalex.org/W1999966354","https://openalex.org/W2531236987","https://openalex.org/W4206003218","https://openalex.org/W2018743852","https://openalex.org/W3046620295"],"abstract_inverted_index":{"The":[0,19,41],"authors":[1],"recently":[2],"proposed":[3],"a":[4,30,69],"new":[5],"parallel":[6,31,61],"algorithm,":[7],"based":[8],"on":[9,45,68],"the":[10,15,59,85,92],"sequential":[11,64],"Levenberg\u2013Marquardt":[12],"method,":[13],"for":[14,23,82],"nonlinear":[16],"least-squares":[17],"problem.":[18],"algorithm":[20,62],"is":[21,34,80,88],"suitable":[22],"message-passing":[24],"multiprocessor":[25,49],"computers.":[26],"In":[27],"this":[28,53],"paper":[29,54],"efficiency":[32,79],"analysis":[33],"provided":[35],"and":[36],"computational":[37],"results":[38,57,74],"are":[39],"reported.":[40],"experiments":[42],"were":[43],"performed":[44],"an":[46],"Intel":[47],"iPSC/2":[48],"with":[50,63],"32":[51],"nodes:":[52],"presents":[55],"experimental":[56,73],"comparing":[58],"given":[60],"MINPACK":[65],"code":[66],"executed":[67],"single":[70],"processor.":[71],"These":[72],"show":[75],"that":[76],"essentially":[77],"full":[78],"obtained":[81],"problems":[83],"where":[84],"row":[86],"size":[87],"sufficiently":[89],"larger":[90],"than":[91],"number":[93],"of":[94],"processors.":[95]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
