{"id":"https://openalex.org/W1990791691","doi":"https://doi.org/10.1137/s1052623496306450","title":"BFGS with Update Skipping and Varying Memory","display_name":"BFGS with Update Skipping and Varying Memory","publication_year":1998,"publication_date":"1998-11-01","ids":{"openalex":"https://openalex.org/W1990791691","doi":"https://doi.org/10.1137/s1052623496306450","mag":"1990791691"},"language":"en","primary_location":{"id":"doi:10.1137/s1052623496306450","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623496306450","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":true,"oa_status":"green","oa_url":"https://drum.lib.umd.edu/bitstreams/c65a6b6e-c040-4c36-ae04-1b29feb3212c/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039127251","display_name":"Tamara G. Kolda","orcid":"https://orcid.org/0000-0003-4176-2493"},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tamara G. Kolda","raw_affiliation_strings":["Oak Ridge National Laboratory"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Oak Ridge National Laboratory","institution_ids":["https://openalex.org/I1289243028"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062480442","display_name":"Dianne P. O\u2019Leary","orcid":"https://orcid.org/0000-0001-9809-5180"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dianne P. O'Leary","raw_affiliation_strings":["University of Maryland, College Park"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Maryland, College Park","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111433281","display_name":"Larry Nazareth","orcid":null},"institutions":[{"id":"https://openalex.org/I72951846","display_name":"Washington State University","ror":"https://ror.org/05dk0ce17","country_code":"US","type":"education","lineage":["https://openalex.org/I72951846"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Larry Nazareth","raw_affiliation_strings":["Washington State University\u2014Pullman"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Washington State University\u2014Pullman","institution_ids":["https://openalex.org/I72951846"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3302,"has_fulltext":true,"cited_by_count":48,"citation_normalized_percentile":{"value":0.7978168,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"8","issue":"4","first_page":"1060","last_page":"1083"},"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9994000196456909,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9947999715805054,"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/broyden\u2013fletcher\u2013goldfarb\u2013shanno-algorithm","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","score":0.9605891108512878},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5461021065711975},{"id":"https://openalex.org/keywords/quasi-newton-method","display_name":"Quasi-Newton method","score":0.5402000546455383},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5197731852531433},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5158533453941345},{"id":"https://openalex.org/keywords/line-search","display_name":"Line search","score":0.506168782711029},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.4681454300880432},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46396955847740173},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.43660280108451843},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4281570613384247},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3578352928161621},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3473243713378906},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.17134037613868713},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.09427478909492493}],"concepts":[{"id":"https://openalex.org/C132721684","wikidata":"https://www.wikidata.org/wiki/Q2877013","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","level":3,"score":0.9605891108512878},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5461021065711975},{"id":"https://openalex.org/C114954040","wikidata":"https://www.wikidata.org/wiki/Q1476018","display_name":"Quasi-Newton method","level":4,"score":0.5402000546455383},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5197731852531433},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5158533453941345},{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.506168782711029},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.4681454300880432},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46396955847740173},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.43660280108451843},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4281570613384247},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3578352928161621},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3473243713378906},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.17134037613868713},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.09427478909492493},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s1052623496306450","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623496306450","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"},{"id":"pmh:oai:drum.lib.umd.edu:1903/831","is_oa":true,"landing_page_url":"http://hdl.handle.net/1903/831","pdf_url":"https://drum.lib.umd.edu/bitstreams/c65a6b6e-c040-4c36-ae04-1b29feb3212c/download","source":{"id":"https://openalex.org/S4306401518","display_name":"University Libraries (University of Maryland)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66946132","host_organization_name":"University of Maryland, College Park","host_organization_lineage":["https://openalex.org/I66946132"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Technical Report"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.122.3246","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.122.3246","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://csmr.ca.sandia.gov/~tgkolda/pubs/bibtgkfiles/SIAM-30645.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:drum.lib.umd.edu:1903/831","is_oa":true,"landing_page_url":"http://hdl.handle.net/1903/831","pdf_url":"https://drum.lib.umd.edu/bitstreams/c65a6b6e-c040-4c36-ae04-1b29feb3212c/download","source":{"id":"https://openalex.org/S4306401518","display_name":"University Libraries (University of Maryland)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66946132","host_organization_name":"University of Maryland, College Park","host_organization_lineage":["https://openalex.org/I66946132"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Technical Report"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320311089","display_name":"National Security Agency","ror":"https://ror.org/0047bvr32"},{"id":"https://openalex.org/F4320314637","display_name":"National Physical Science Consortium","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1990791691.pdf","grobid_xml":"https://content.openalex.org/works/W1990791691.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W194333855","https://openalex.org/W1549376673","https://openalex.org/W1892919230","https://openalex.org/W1968553199","https://openalex.org/W1994722534","https://openalex.org/W2011253492","https://openalex.org/W2012255426","https://openalex.org/W2051434435","https://openalex.org/W2051669046","https://openalex.org/W2056603712","https://openalex.org/W2058839679","https://openalex.org/W2059808679","https://openalex.org/W2065000345","https://openalex.org/W2068484625","https://openalex.org/W2069752241","https://openalex.org/W2074989213","https://openalex.org/W2086518770","https://openalex.org/W2095211439","https://openalex.org/W2122565324","https://openalex.org/W2124812425","https://openalex.org/W2154589350","https://openalex.org/W2266946488","https://openalex.org/W2798909945"],"related_works":["https://openalex.org/W4293559771","https://openalex.org/W2768763952","https://openalex.org/W4317857408","https://openalex.org/W2356101382","https://openalex.org/W2280670759","https://openalex.org/W3078710903","https://openalex.org/W3194711412","https://openalex.org/W2949437822","https://openalex.org/W2036558771","https://openalex.org/W1980094572"],"abstract_inverted_index":{"We":[0,22,70],"give":[1],"conditions":[2],"under":[3],"which":[4],"limited-memory":[5,73],"quasi-Newton":[6],"methods":[7,29,51],"with":[8,42,52],"exact":[9,53],"line":[10,54],"searches":[11,55],"will":[12],"terminate":[13,30,56],"in":[14,31,34,57],"n":[15,32,60],"steps":[16,33,63],"when":[17,64],"minimizing":[18],"n-dimensional":[19],"quadratic":[20],"functions.":[21],"show":[23,46],"that":[24,47],"although":[25],"all":[26],"Broyden":[27,49],"family":[28,50],"their":[35],"full-memory":[36,48],"versions,":[37],"only":[38],"BFGS":[39,74],"does":[40],"so":[41],"limited-memory.":[43],"Additionally,":[44],"we":[45],"at":[58],"most":[59],"+":[61],"p":[62,65],"matrix":[66],"updates":[67],"are":[68],"skipped.":[69],"introduce":[71],"new":[72],"variants":[75],"and":[76],"test":[77],"them":[78],"on":[79],"nonquadratic":[80],"minimization":[81],"problems.":[82]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
