{"id":"https://openalex.org/W2032076447","doi":"https://doi.org/10.1137/0803032","title":"Automatic Column Scaling Strategies for Quasi-Newton Methods","display_name":"Automatic Column Scaling Strategies for Quasi-Newton Methods","publication_year":1993,"publication_date":"1993-08-01","ids":{"openalex":"https://openalex.org/W2032076447","doi":"https://doi.org/10.1137/0803032","mag":"2032076447"},"language":"en","primary_location":{"id":"doi:10.1137/0803032","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0803032","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/A5016573230","display_name":"Marucha Lalee","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Marucha Lalee","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5081856145","display_name":"Jorge Nocedal","orcid":"https://orcid.org/0000-0002-9662-2730"},"institutions":[{"id":"https://openalex.org/I4210155590","display_name":"Management Sciences (United States)","ror":"https://ror.org/05shz5j84","country_code":"US","type":"company","lineage":["https://openalex.org/I4210155590"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jorge Nocedal","raw_affiliation_strings":["Industrial Engineering and Management Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Industrial Engineering and Management Sciences","institution_ids":["https://openalex.org/I4210155590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.942,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.74700599,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"3","issue":"3","first_page":"637","last_page":"653"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9930999875068665,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9919000267982483,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/broyden\u2013fletcher\u2013goldfarb\u2013shanno-algorithm","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","score":0.8598586320877075},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.7770974040031433},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7601432800292969},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6932977437973022},{"id":"https://openalex.org/keywords/column","display_name":"Column (typography)","score":0.6570391654968262},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.582328200340271},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5129024982452393},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4989938735961914},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4842219352722168},{"id":"https://openalex.org/keywords/quasi-newton-method","display_name":"Quasi-Newton method","score":0.4779151380062103},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41858527064323425},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34513288736343384},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.31027787923812866},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17839452624320984},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10338085889816284},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0975504219532013},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08394327759742737}],"concepts":[{"id":"https://openalex.org/C132721684","wikidata":"https://www.wikidata.org/wiki/Q2877013","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","level":3,"score":0.8598586320877075},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.7770974040031433},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7601432800292969},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6932977437973022},{"id":"https://openalex.org/C2780551164","wikidata":"https://www.wikidata.org/wiki/Q2306599","display_name":"Column (typography)","level":3,"score":0.6570391654968262},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.582328200340271},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5129024982452393},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4989938735961914},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4842219352722168},{"id":"https://openalex.org/C114954040","wikidata":"https://www.wikidata.org/wiki/Q1476018","display_name":"Quasi-Newton method","level":4,"score":0.4779151380062103},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41858527064323425},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34513288736343384},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.31027787923812866},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17839452624320984},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10338085889816284},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0975504219532013},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08394327759742737},{"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.0},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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:10.1137/0803032","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0803032","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1969637950","https://openalex.org/W2003809942","https://openalex.org/W2005136695","https://openalex.org/W2016663659","https://openalex.org/W2024524305","https://openalex.org/W2037258733","https://openalex.org/W2038210983","https://openalex.org/W2045968916","https://openalex.org/W2056603712","https://openalex.org/W2078409719","https://openalex.org/W2112820497","https://openalex.org/W2153532571"],"related_works":["https://openalex.org/W3012383564","https://openalex.org/W2013605080","https://openalex.org/W2280670759","https://openalex.org/W3210693517","https://openalex.org/W4318192194","https://openalex.org/W2026245502","https://openalex.org/W3197176902","https://openalex.org/W4324358988","https://openalex.org/W2964248513","https://openalex.org/W4312823764"],"abstract_inverted_index":{"A":[0],"class":[1],"of":[2,28],"algorithms":[3,24],"is":[4],"described":[5],"for":[6],"unconstrained":[7],"optimization,":[8],"based":[9],"on":[10,39,49],"the":[11,26,40],"BFGS":[12],"update":[13],"formula,":[14],"which":[15],"includes":[16],"an":[17],"automatic":[18],"column":[19],"scaling":[20,41],"strategy.":[21],"The":[22],"new":[23],"generalize":[25],"method":[27],"Powell":[29],"[Math.":[30],"Programming,":[31],"38":[32],"(1987),":[33],"pp.":[34],"29\u201346].":[35],"Conditions":[36],"are":[37],"given":[38],"strategies":[42],"that":[43],"guarantee":[44],"global":[45],"and":[46],"superlinear":[47],"convergence":[48],"convex":[50],"problems.":[51]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
