{"id":"https://openalex.org/W2137979856","doi":"https://doi.org/10.1137/0803029","title":"Numerical Experience with Limited-Memory Quasi-Newton and Truncated Newton Methods","display_name":"Numerical Experience with Limited-Memory Quasi-Newton and Truncated Newton Methods","publication_year":1993,"publication_date":"1993-08-01","ids":{"openalex":"https://openalex.org/W2137979856","doi":"https://doi.org/10.1137/0803029","mag":"2137979856"},"language":"en","primary_location":{"id":"doi:10.1137/0803029","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0803029","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 Optimization","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/A5090317027","display_name":"Xiaolei Zou","orcid":"https://orcid.org/0000-0002-7721-9364"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"X. Zou","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029573210","display_name":"I. M. Navon","orcid":"https://orcid.org/0000-0001-7830-7094"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"I. M. Navon","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109032795","display_name":"Melvyn S. Berger","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Berger","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114256516","display_name":"K. H. Phua","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"K. H. Phua","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046513501","display_name":"Tamar Schlick","orcid":"https://orcid.org/0000-0002-2392-2062"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"T. Schlick","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5032015670","display_name":"Fran\u00e7ois\u2010Xavier Le Dimet","orcid":"https://orcid.org/0000-0002-3204-1275"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"F. X. Le Dimet","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":9.4198,"has_fulltext":false,"cited_by_count":130,"citation_normalized_percentile":{"value":0.98702595,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"3","issue":"3","first_page":"582","last_page":"608"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9945999979972839,"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"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/broyden\u2013fletcher\u2013goldfarb\u2013shanno-algorithm","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","score":0.8740633726119995},{"id":"https://openalex.org/keywords/hessian-matrix","display_name":"Hessian matrix","score":0.8260906934738159},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7212838530540466},{"id":"https://openalex.org/keywords/quasi-newton-method","display_name":"Quasi-Newton method","score":0.6420965194702148},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5454611778259277},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.515868604183197},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5082709193229675},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.47265589237213135},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.45733198523521423},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.38750720024108887},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3309246301651001},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21618598699569702},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1799505352973938}],"concepts":[{"id":"https://openalex.org/C132721684","wikidata":"https://www.wikidata.org/wiki/Q2877013","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","level":3,"score":0.8740633726119995},{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.8260906934738159},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7212838530540466},{"id":"https://openalex.org/C114954040","wikidata":"https://www.wikidata.org/wiki/Q1476018","display_name":"Quasi-Newton method","level":4,"score":0.6420965194702148},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5454611778259277},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.515868604183197},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5082709193229675},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.47265589237213135},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.45733198523521423},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.38750720024108887},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3309246301651001},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21618598699569702},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1799505352973938},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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":1,"locations":[{"id":"doi:10.1137/0803029","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0803029","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8500000238418579,"id":"https://metadata.un.org/sdg/14","display_name":"Life below water"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1549376673","https://openalex.org/W1964941900","https://openalex.org/W1994722534","https://openalex.org/W1998187039","https://openalex.org/W2010647796","https://openalex.org/W2012818374","https://openalex.org/W2024490641","https://openalex.org/W2035002995","https://openalex.org/W2043382734","https://openalex.org/W2045454144","https://openalex.org/W2051434435","https://openalex.org/W2051669046","https://openalex.org/W2055871082","https://openalex.org/W2056603712","https://openalex.org/W2059808679","https://openalex.org/W2061475638","https://openalex.org/W2062393471","https://openalex.org/W2062542688","https://openalex.org/W2064261288","https://openalex.org/W2065000345","https://openalex.org/W2069752241","https://openalex.org/W2079115388","https://openalex.org/W2091985100","https://openalex.org/W2122565324","https://openalex.org/W2124812425","https://openalex.org/W2130844535","https://openalex.org/W2142738245","https://openalex.org/W2171926168"],"related_works":["https://openalex.org/W2026245502","https://openalex.org/W4318192194","https://openalex.org/W2070932288","https://openalex.org/W4221162014","https://openalex.org/W2937637171","https://openalex.org/W1964096161","https://openalex.org/W2572889128","https://openalex.org/W3091576739","https://openalex.org/W2892976100","https://openalex.org/W2958624776"],"abstract_inverted_index":{"Computational":[0],"experience":[1],"with":[2,120],"several":[3,44],"limited-memory":[4,74],"quasi-Newton":[5,75],"and":[6,31,58,65,83],"truncated":[7,106],"Newton":[8,107],"methods":[9],"for":[10,97,114],"unconstrained":[11],"nonlinear":[12],"optimization":[13],"is":[14,118],"described.":[15],"Comparative":[16],"tests":[17],"were":[18],"conducted":[19],"on":[20,43,59],"a":[21],"well-known":[22],"test":[23],"library":[24],"[J.":[25],"J.":[26,84],"Mor\u00e9,":[27],"B.":[28],"S.":[29],"Gaxbow,":[30],"K.":[32],"E.":[33],"Hillstrom,":[34],"ACM":[35],"Trans.":[36],"Math.":[37,86],"Software,":[38],"7":[39],"(1981),":[40],"pp.":[41,90],"17\u201341],":[42],"synthetic":[45],"problems":[46,62,99],"allowing":[47],"control":[48],"of":[49,52,104,122],"the":[50,55,72,77,93,98,111,115],"clustering":[51],"eigenvalues":[53],"in":[54,63,110],"Hessian":[56],"spectrum,":[57],"some":[60],"large-scale":[61],"oceanography":[64],"meteorology.":[66],"The":[67,101],"results":[68],"indicate":[69],"that":[70,121],"among":[71],"tested":[73],"methods,":[76,108],"L-BFGS":[78],"method":[79],"[D.":[80],"C.":[81],"Liu":[82],"Nocedal,":[85],"Programming,":[87],"45":[88],"(1989),":[89],"503\u2013528]":[91],"has":[92],"best":[94],"overall":[95],"performance":[96,103],"examined.":[100],"numerical":[102],"two":[105],"differing":[109],"inner-loop":[112],"solution":[113],"search":[116],"vector,":[117],"competitive":[119],"L-BFGS.":[123]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
