{"id":"https://openalex.org/W3045553611","doi":"https://doi.org/10.23919/acc45564.2020.9147989","title":"A Sequential Subspace Quasi-Newton Method for Large-Scale Convex Optimization","display_name":"A Sequential Subspace Quasi-Newton Method for Large-Scale Convex Optimization","publication_year":2020,"publication_date":"2020-07-01","ids":{"openalex":"https://openalex.org/W3045553611","doi":"https://doi.org/10.23919/acc45564.2020.9147989","mag":"3045553611"},"language":"en","primary_location":{"id":"doi:10.23919/acc45564.2020.9147989","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc45564.2020.9147989","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 American Control Conference (ACC)","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/A5002315745","display_name":"Aleksandr Senov","orcid":null},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Aleksandr Senov","raw_affiliation_strings":["Faculty of Mathematics & Mechanics, and Center of Mathematical Robotics and Artificial Intelligence, Saint Petersburg State University, St. Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics & Mechanics, and Center of Mathematical Robotics and Artificial Intelligence, Saint Petersburg State University, St. Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056320794","display_name":"Oleg Granichin","orcid":"https://orcid.org/0000-0002-3631-7347"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Oleg Granichin","raw_affiliation_strings":["Faculty of Mathematics & Mechanics, and Center of Mathematical Robotics and Artificial Intelligence, Saint Petersburg State University, St. Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics & Mechanics, and Center of Mathematical Robotics and Artificial Intelligence, Saint Petersburg State University, St. Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003496605","display_name":"Olga Granichina","orcid":null},"institutions":[{"id":"https://openalex.org/I4210101320","display_name":"Herzen University","ror":"https://ror.org/01e5ckr65","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210101320"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Olga Granichina","raw_affiliation_strings":["Herzen State Pedagogical University, St. Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"Herzen State Pedagogical University, St. Petersburg, Russia","institution_ids":["https://openalex.org/I4210101320"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5002315745"],"corresponding_institution_ids":["https://openalex.org/I172901346"],"apc_list":null,"apc_paid":null,"fwci":0.2945,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.50977587,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"3627","last_page":"3632"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994999766349792,"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":0.9948999881744385,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.6963651776313782},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.6265730261802673},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5727309584617615},{"id":"https://openalex.org/keywords/continuous-optimization","display_name":"Continuous optimization","score":0.571068286895752},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.55906081199646},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.5353743433952332},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.5113264918327332},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4971320927143097},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.493843138217926},{"id":"https://openalex.org/keywords/conic-optimization","display_name":"Conic optimization","score":0.4555048942565918},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43442171812057495},{"id":"https://openalex.org/keywords/sequential-quadratic-programming","display_name":"Sequential quadratic programming","score":0.4178309142589569},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.3189365863800049},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.24497723579406738},{"id":"https://openalex.org/keywords/multi-swarm-optimization","display_name":"Multi-swarm optimization","score":0.23278877139091492},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10803231596946716}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6963651776313782},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.6265730261802673},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5727309584617615},{"id":"https://openalex.org/C92995354","wikidata":"https://www.wikidata.org/wiki/Q5165499","display_name":"Continuous optimization","level":4,"score":0.571068286895752},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.55906081199646},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.5353743433952332},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.5113264918327332},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4971320927143097},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.493843138217926},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.4555048942565918},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43442171812057495},{"id":"https://openalex.org/C198927703","wikidata":"https://www.wikidata.org/wiki/Q4373881","display_name":"Sequential quadratic programming","level":3,"score":0.4178309142589569},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.3189365863800049},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.24497723579406738},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.23278877139091492},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10803231596946716},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc45564.2020.9147989","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc45564.2020.9147989","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1982988061","https://openalex.org/W1986914969","https://openalex.org/W2000836282","https://openalex.org/W2012231377","https://openalex.org/W2014851363","https://openalex.org/W2016278923","https://openalex.org/W2018064504","https://openalex.org/W2028736557","https://openalex.org/W2030840351","https://openalex.org/W2036795720","https://openalex.org/W2043382734","https://openalex.org/W2046941888","https://openalex.org/W2079020153","https://openalex.org/W2124289529","https://openalex.org/W2152799677","https://openalex.org/W2161761402","https://openalex.org/W2183091525","https://openalex.org/W2221469269","https://openalex.org/W2293450022","https://openalex.org/W2316564661","https://openalex.org/W2493390487","https://openalex.org/W2546700740","https://openalex.org/W2765261180","https://openalex.org/W2766514582","https://openalex.org/W2775957081","https://openalex.org/W2967457152","https://openalex.org/W3142298378","https://openalex.org/W4236796448","https://openalex.org/W4250589301","https://openalex.org/W4300671337","https://openalex.org/W4301909677","https://openalex.org/W6682557032","https://openalex.org/W6726462418","https://openalex.org/W6746846508","https://openalex.org/W7001446769"],"related_works":["https://openalex.org/W3122542532","https://openalex.org/W1835789250","https://openalex.org/W2086459570","https://openalex.org/W4287111675","https://openalex.org/W2047757139","https://openalex.org/W3175428997","https://openalex.org/W4294993249","https://openalex.org/W4389386399","https://openalex.org/W3135309989","https://openalex.org/W1967750213"],"abstract_inverted_index":{"Large-scale":[0],"optimization":[1,13,23,34,37,62,132],"plays":[2],"important":[3],"role":[4],"in":[5,39,101],"many":[6],"control":[7],"and":[8,74,84,129],"learning":[9],"problems.":[10,24,133],"Sequential":[11],"subspace":[12,61],"is":[14,26],"a":[15,40,48,57,65,70,102],"novel":[16],"approach":[17],"particularly":[18],"suitable":[19],"for":[20,93],"large-":[21],"scale":[22],"It":[25],"based":[27,68],"on":[28,69,126],"sequential":[29,60],"reduction":[30],"of":[31,50,59,72,87,105,110,117],"the":[32,111,118],"initial":[33],"problem":[35,49,96],"to":[36],"problems":[38],"low-dimensional":[41],"space.":[42],"In":[43,56,91],"this":[44],"paper":[45],"we":[46,63,97],"consider":[47],"multidimensional":[51],"convex":[52],"real-valued":[53],"function":[54],"optimization.":[55],"framework":[58],"develop":[64],"new":[66],"method":[67,77],"combination":[71],"quasi-Newton":[73],"conjugate":[75],"gradient":[76],"steps.":[78,106],"We":[79,107],"provide":[80],"its":[81,88],"formal":[82],"justification":[83],"derive":[85],"several":[86],"theoretical":[89],"properties.":[90],"particular,":[92],"quadratic":[94],"programming":[95],"prove":[98],"linear":[99],"convergence":[100],"finite":[103],"number":[104],"demonstrate":[108],"superiority":[109],"proposed":[112],"algorithm":[113],"over":[114],"common":[115],"state":[116],"art":[119],"methods":[120],"by":[121],"carrying":[122],"out":[123],"comparative":[124],"analysis":[125],"both":[127],"modelled":[128],"real-":[130],"world":[131]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
