{"id":"https://openalex.org/W2006905759","doi":"https://doi.org/10.1137/s1052623401398120","title":"A Sequential Quadratically Constrained Quadratic Programming Method for Differentiable Convex Minimization","display_name":"A Sequential Quadratically Constrained Quadratic Programming Method for Differentiable Convex Minimization","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2006905759","doi":"https://doi.org/10.1137/s1052623401398120","mag":"2006905759"},"language":"en","primary_location":{"id":"doi:10.1137/s1052623401398120","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623401398120","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/A5058813836","display_name":"Masao Fukushima","orcid":"https://orcid.org/0000-0002-4372-6376"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]},{"id":"https://openalex.org/I4210129581","display_name":"Kyoto University of Education","ror":"https://ror.org/03zhhr656","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210129581"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masao Fukushima","raw_affiliation_strings":["Kyoto univ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kyoto univ","institution_ids":["https://openalex.org/I22299242","https://openalex.org/I4210129581"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101766226","display_name":"Zhi\u2010Quan Luo","orcid":"https://orcid.org/0000-0003-3995-914X"},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Zhi-Quan Luo","raw_affiliation_strings":["McMaster university#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"McMaster university#TAB#","institution_ids":["https://openalex.org/I98251732"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110258450","display_name":"Paul Tseng","orcid":null},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paul Tseng","raw_affiliation_strings":["University of Washington"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Washington","institution_ids":["https://openalex.org/I201448701"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7358,"has_fulltext":false,"cited_by_count":56,"citation_normalized_percentile":{"value":0.83464567,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"13","issue":"4","first_page":"1098","last_page":"1119"},"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9991000294685364,"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":0.9333000183105469,"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/quadratic-growth","display_name":"Quadratic growth","score":0.9103339910507202},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.781866192817688},{"id":"https://openalex.org/keywords/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.750409722328186},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.6946727633476257},{"id":"https://openalex.org/keywords/second-order-cone-programming","display_name":"Second-order cone programming","score":0.646990954875946},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5794694423675537},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5385085344314575},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5335097312927246},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.509814441204071},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4860704243183136},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.4844250977039337},{"id":"https://openalex.org/keywords/sequential-quadratic-programming","display_name":"Sequential quadratic programming","score":0.47665005922317505},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.4620036780834198},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.45785555243492126},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4222182333469391},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3888179063796997},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18650290369987488},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1470409333705902},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11491045355796814}],"concepts":[{"id":"https://openalex.org/C195956108","wikidata":"https://www.wikidata.org/wiki/Q7268362","display_name":"Quadratic growth","level":2,"score":0.9103339910507202},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.781866192817688},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.750409722328186},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.6946727633476257},{"id":"https://openalex.org/C111397411","wikidata":"https://www.wikidata.org/wiki/Q7442977","display_name":"Second-order cone programming","level":4,"score":0.646990954875946},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5794694423675537},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5385085344314575},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5335097312927246},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.509814441204071},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4860704243183136},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.4844250977039337},{"id":"https://openalex.org/C198927703","wikidata":"https://www.wikidata.org/wiki/Q4373881","display_name":"Sequential quadratic programming","level":3,"score":0.47665005922317505},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.4620036780834198},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.45785555243492126},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4222182333469391},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3888179063796997},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18650290369987488},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1470409333705902},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11491045355796814},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1052623401398120","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623401398120","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":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W79353284","https://openalex.org/W203192772","https://openalex.org/W1669104078","https://openalex.org/W1970282330","https://openalex.org/W1981027849","https://openalex.org/W1981336262","https://openalex.org/W1987898022","https://openalex.org/W2004747456","https://openalex.org/W2039016407","https://openalex.org/W2060206997","https://openalex.org/W2064380469","https://openalex.org/W2083431695","https://openalex.org/W2105235982","https://openalex.org/W2114408464","https://openalex.org/W2137197631","https://openalex.org/W2334285086","https://openalex.org/W4235040324","https://openalex.org/W4249667877","https://openalex.org/W4299512035"],"related_works":["https://openalex.org/W2951903936","https://openalex.org/W2004392729","https://openalex.org/W4298879965","https://openalex.org/W2233303476","https://openalex.org/W2492346510","https://openalex.org/W2897697015","https://openalex.org/W2037790839","https://openalex.org/W2169350232","https://openalex.org/W2566013347","https://openalex.org/W3035921962"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,23,34,40,50],"sequential":[4],"quadratically":[5,41],"constrained":[6,42],"quadratic":[7,28,36,43,84],"programming":[8,44],"(SQCQP)":[9],"method":[10,18],"for":[11],"solving":[12],"smooth":[13],"convex":[14,27,35],"programs.":[15],"The":[16],"SQCQP":[17,73],"solves":[19],"at":[20],"each":[21],"iteration":[22],"subproblem":[24],"that":[25,92],"involves":[26],"inequality":[29],"constraints":[30],"as":[31,33,49,115],"well":[32],"objective":[37],"function.":[38,120],"Such":[39],"problem":[45],"can":[46,55],"be":[47,56],"formulated":[48],"second-order":[51],"cone":[52],"program,":[53],"which":[54],"solved":[57],"efficiently":[58],"by":[59],"using":[60],"interior":[61],"point":[62],"methods.":[63],"We":[64],"consider":[65],"the":[66,72,75,79,83,93,102,116],"following":[67],"three":[68],"fundamental":[69],"issues":[70],"on":[71],"method:":[74],"feasibility":[76],"of":[77,86],"subproblems,":[78],"global":[80],"convergence,":[81],"and":[82],"rate":[85],"convergence.":[87],"In":[88],"particular,":[89],"we":[90,107],"show":[91],"Maratos":[94],"effect":[95],"is":[96],"avoided":[97],"without":[98],"any":[99],"modification":[100],"to":[101],"search":[103,118],"direction,":[104],"even":[105],"though":[106],"use":[108],"an":[109],"ordinary":[110],"$\\ell_1$":[111],"exact":[112],"penalty":[113],"function":[114],"line":[117],"merit":[119]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
