{"id":"https://openalex.org/W2116681985","doi":"https://doi.org/10.1109/acc.2007.4282797","title":"A Globally Convergent Conjugate Gradient Method for Minimizing Self-Concordant Functions with Application to Constrained Optimisation Problems","display_name":"A Globally Convergent Conjugate Gradient Method for Minimizing Self-Concordant Functions with Application to Constrained Optimisation Problems","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W2116681985","doi":"https://doi.org/10.1109/acc.2007.4282797","mag":"2116681985"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2007.4282797","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2007.4282797","pdf_url":null,"source":{"id":"https://openalex.org/S4210168941","display_name":"Proceedings of the ... American Control Conference/Proceedings of the American Control Conference","issn_l":"0743-1619","issn":["0743-1619","2378-5861"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 American Control Conference","raw_type":"proceedings-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/A5061225910","display_name":"Huibo Ji","orcid":null},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Huibo Ji","raw_affiliation_strings":["Department of Information Engineering, RSISE, Australian National University, Australia"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, RSISE, Australian National University, Australia","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082825311","display_name":"Minyi Huang","orcid":"https://orcid.org/0000-0003-1145-5281"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Minyi Huang","raw_affiliation_strings":["Department of Information Engineering, RSISE, Australian National University, Australia"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, RSISE, Australian National University, Australia","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113685133","display_name":"J.B. Moore","orcid":"https://orcid.org/0000-0002-5237-1087"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]},{"id":"https://openalex.org/I42894916","display_name":"Data61","ror":"https://ror.org/03q397159","country_code":"AU","type":"other","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I42894916","https://openalex.org/I4387156119"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"John B. Moore","raw_affiliation_strings":["Department of Information Engineering, RSISE, Australian National University, Australia","NICTA, Canberra, ACT, Australia"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, RSISE, Australian National University, Australia","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"NICTA, Canberra, ACT, Australia","institution_ids":["https://openalex.org/I42894916"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046301126","display_name":"Jonathan H. Manton","orcid":"https://orcid.org/0000-0002-2441-588X"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Jonathan H. Manton","raw_affiliation_strings":["Department of Information Engineering, RSISE, Australian National University, Australia"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, RSISE, Australian National University, Australia","institution_ids":["https://openalex.org/I118347636"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5061225910"],"corresponding_institution_ids":["https://openalex.org/I118347636"],"apc_list":null,"apc_paid":null,"fwci":0.6316,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.53191489,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"i","issue":null,"first_page":"540","last_page":"545"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"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":0.9997000098228455,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9984999895095825,"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"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9959999918937683,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.8438977599143982},{"id":"https://openalex.org/keywords/quadratic-growth","display_name":"Quadratic growth","score":0.7286974191665649},{"id":"https://openalex.org/keywords/conjugate-residual-method","display_name":"Conjugate residual method","score":0.7169298529624939},{"id":"https://openalex.org/keywords/derivation-of-the-conjugate-gradient-method","display_name":"Derivation of the conjugate gradient method","score":0.7036031484603882},{"id":"https://openalex.org/keywords/proximal-gradient-methods","display_name":"Proximal Gradient Methods","score":0.61649489402771},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6010279059410095},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5953243970870972},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.5880703926086426},{"id":"https://openalex.org/keywords/nonlinear-conjugate-gradient-method","display_name":"Nonlinear conjugate gradient method","score":0.5845898985862732},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.5212395787239075},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.47987857460975647},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4697554409503937},{"id":"https://openalex.org/keywords/constrained-optimization","display_name":"Constrained optimization","score":0.46809864044189453},{"id":"https://openalex.org/keywords/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.46661534905433655},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4561937749385834},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4399188756942749},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.41525334119796753},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3894374668598175},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38411837816238403},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2850503921508789},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.26523393392562866},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08175602555274963}],"concepts":[{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.8438977599143982},{"id":"https://openalex.org/C195956108","wikidata":"https://www.wikidata.org/wiki/Q7268362","display_name":"Quadratic growth","level":2,"score":0.7286974191665649},{"id":"https://openalex.org/C91394653","wikidata":"https://www.wikidata.org/wiki/Q5161159","display_name":"Conjugate residual method","level":4,"score":0.7169298529624939},{"id":"https://openalex.org/C198562538","wikidata":"https://www.wikidata.org/wiki/Q5262612","display_name":"Derivation of the conjugate gradient method","level":5,"score":0.7036031484603882},{"id":"https://openalex.org/C10494615","wikidata":"https://www.wikidata.org/wiki/Q17086765","display_name":"Proximal Gradient Methods","level":4,"score":0.61649489402771},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6010279059410095},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5953243970870972},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.5880703926086426},{"id":"https://openalex.org/C26362088","wikidata":"https://www.wikidata.org/wiki/Q17086453","display_name":"Nonlinear conjugate gradient method","level":4,"score":0.5845898985862732},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.5212395787239075},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.47987857460975647},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4697554409503937},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.46809864044189453},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.46661534905433655},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4561937749385834},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4399188756942749},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.41525334119796753},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3894374668598175},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38411837816238403},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2850503921508789},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.26523393392562866},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08175602555274963},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/acc.2007.4282797","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2007.4282797","pdf_url":null,"source":{"id":"https://openalex.org/S4210168941","display_name":"Proceedings of the ... American Control Conference/Proceedings of the American Control Conference","issn_l":"0743-1619","issn":["0743-1619","2378-5861"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 American Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:jupiter.its.unimelb.edu.au:11343/31881","is_oa":false,"landing_page_url":"http://hdl.handle.net/11343/31881","pdf_url":null,"source":{"id":"https://openalex.org/S4377196259","display_name":"Minerva Access (University of Melbourne)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I165779595","host_organization_name":"The University of Melbourne","host_organization_lineage":["https://openalex.org/I165779595"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2007 American Control Conference","raw_type":"Conference Paper"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/38547","is_oa":false,"landing_page_url":"http://hdl.handle.net/1885/38547","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the 2007 American Control Conference","raw_type":"Conference paper"}],"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/W129805247","https://openalex.org/W1632601927","https://openalex.org/W2013233766","https://openalex.org/W2124541940","https://openalex.org/W2142041462","https://openalex.org/W2296319761","https://openalex.org/W3141595720","https://openalex.org/W4210593490","https://openalex.org/W4235401109","https://openalex.org/W4250589301","https://openalex.org/W6636733897","https://openalex.org/W6808037497"],"related_works":["https://openalex.org/W2356365850","https://openalex.org/W2383960336","https://openalex.org/W2348618647","https://openalex.org/W2364021889","https://openalex.org/W2947596922","https://openalex.org/W2604655597","https://openalex.org/W4319027779","https://openalex.org/W1999446604","https://openalex.org/W2379322359","https://openalex.org/W1993524345"],"abstract_inverted_index":{"Self-concordant":[0],"functions":[1,8],"are":[2],"a":[3,23,43,68],"special":[4],"class":[5],"of":[6,30],"convex":[7],"introduced":[9],"by":[10],"Nesterov":[11],"and":[12,14],"Nemirovskii":[13],"used":[15],"in":[16],"interior":[17],"point":[18],"methods.":[19],"This":[20,33],"paper":[21],"proposes":[22],"damped":[24],"conjugate":[25,38],"gradient":[26,39],"method":[27,34,40],"for":[28],"optimization":[29,72],"self-concordant":[31],"functions.":[32],"is":[35,49,65],"an":[36,61],"ordinary":[37],"but":[41],"with":[42],"novel":[44],"step-size":[45],"selection":[46],"rule":[47],"which":[48],"proved":[50],"to":[51,56,67],"ensure":[52],"the":[53,57,63],"algorithm":[54,64],"converges":[55],"global":[58],"minimum.":[59],"As":[60],"example,":[62],"applied":[66],"quadratically":[69],"constrained":[70],"quadratic":[71],"problem.":[73]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}