{"id":"https://openalex.org/W1999895462","doi":"https://doi.org/10.1137/0804015","title":"Convergence Properties of a Class of Rank-two Updates","display_name":"Convergence Properties of a Class of Rank-two Updates","publication_year":1994,"publication_date":"1994-05-01","ids":{"openalex":"https://openalex.org/W1999895462","doi":"https://doi.org/10.1137/0804015","mag":"1999895462"},"language":"en","primary_location":{"id":"doi:10.1137/0804015","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0804015","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/A5055227859","display_name":"Paul T. Boggs","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Paul T. Boggs","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5054755159","display_name":"Jon W. Tolle","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jon W. Tolle","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055227859"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0902,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.81046832,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"4","issue":"2","first_page":"262","last_page":"287"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9832000136375427,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9832000136375427,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10575","display_name":"Wireless Communication Networks Research","score":0.9794999957084656,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.975600004196167,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/mathematics","display_name":"Mathematics","score":0.8601088523864746},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6666727066040039},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.631545901298523},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5988742709159851},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4364128112792969},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3940035402774811},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37598299980163574},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11492231488227844},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11031830310821533}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8601088523864746},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6666727066040039},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.631545901298523},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5988742709159851},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4364128112792969},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3940035402774811},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37598299980163574},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11492231488227844},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11031830310821533},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0804015","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0804015","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W2013261078","https://openalex.org/W2030566097","https://openalex.org/W2041519450","https://openalex.org/W2045968916","https://openalex.org/W2053964895","https://openalex.org/W2057875970","https://openalex.org/W2060217404","https://openalex.org/W2068484625","https://openalex.org/W2108814972","https://openalex.org/W2143573110","https://openalex.org/W3022136271","https://openalex.org/W4299512035"],"related_works":["https://openalex.org/W2152992791","https://openalex.org/W2980963558","https://openalex.org/W2112835755","https://openalex.org/W1882246857","https://openalex.org/W2349674371","https://openalex.org/W4291951920","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W1976691234"],"abstract_inverted_index":{"Many":[0],"optimization":[1,83],"algorithms":[2],"generate,":[3],"at":[4],"each":[5],"iteration,":[6],"a":[7,23],"pair":[8],"$(":[9],"x_k":[10],",H_k":[11],")$":[12],"consisting":[13],"of":[14,43,49,60,63,77,81,104,110],"an":[15],"approximation":[16,26],"to":[17,46],"the":[18,35,41,47,50,58,61,73,82,102,105,123],"solution":[19,48],"$x_k":[20,44],"$":[21,28,45],"and":[22,101,118],"Hessian":[24],"matrix":[25,64],"$H_k":[27],"that":[29],"contains":[30],"local":[31],"second-order":[32],"information":[33],"about":[34,40,57],"problem.":[36],"Much":[37],"is":[38,55,90,97,107],"known":[39,56],"convergence":[42,96,111],"problem,":[51],"but":[52],"relatively":[53],"little":[54],"behavior":[59],"sequence":[62,67],"approximations.":[65],"The":[66],"$\\{":[68],"H_k":[69],"\\}$,":[70],"generated":[71],"by":[72],"extended":[74],"Broyden":[75],"class":[76],"updating":[78],"schemes":[79],"independently":[80],"setting":[84],"in":[85,122],"which":[86,95],"they":[87],"are":[88,99,112],"used,":[89],"analyzed.":[91],"Various":[92],"conditions":[93],"under":[94],"assured":[98],"derived,":[100],"structure":[103],"limits":[106],"delineated.":[108],"Rates":[109],"also":[113],"obtained.":[114],"These":[115],"results":[116],"extend":[117],"clarify":[119],"those":[120],"already":[121],"literature.":[124]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
