{"id":"https://openalex.org/W1967862529","doi":"https://doi.org/10.1007/s10898-004-8276-x","title":"Convergence Properties of Dikin\u2019s Affine Scaling Algorithm for Nonconvex Quadratic Minimization","display_name":"Convergence Properties of Dikin\u2019s Affine Scaling Algorithm for Nonconvex Quadratic Minimization","publication_year":2004,"publication_date":"2004-11-01","ids":{"openalex":"https://openalex.org/W1967862529","doi":"https://doi.org/10.1007/s10898-004-8276-x","mag":"1967862529"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-004-8276-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-004-8276-x","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global 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/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":true,"raw_author_name":"Paul Tseng","raw_affiliation_strings":["Department of Mathematics, University of Washington, Seattle, Washington, 98195, U.S.A. (","Department of Mathematics, University of Washington, Seattle, U.S.A. 98195#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Washington, Seattle, Washington, 98195, U.S.A. (","institution_ids":["https://openalex.org/I201448701"]},{"raw_affiliation_string":"Department of Mathematics, University of Washington, Seattle, U.S.A. 98195#TAB#","institution_ids":["https://openalex.org/I201448701"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110258450"],"corresponding_institution_ids":["https://openalex.org/I201448701"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":1.5105,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.78735632,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"30","issue":"2-3","first_page":"285","last_page":"300"},"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/T10792","display_name":"Matrix Theory 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":0.9973999857902527,"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/mathematics","display_name":"Mathematics","score":0.8959805965423584},{"id":"https://openalex.org/keywords/hessian-matrix","display_name":"Hessian matrix","score":0.798722505569458},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.6611793637275696},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.5828360915184021},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5018608570098877},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.4999377727508545},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.49369654059410095},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.4717470109462738},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.45928525924682617},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4509042799472809},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.44921305775642395},{"id":"https://openalex.org/keywords/limit-point","display_name":"Limit point","score":0.44759517908096313},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.44088178873062134},{"id":"https://openalex.org/keywords/semidefinite-embedding","display_name":"Semidefinite embedding","score":0.4395178258419037},{"id":"https://openalex.org/keywords/trust-region","display_name":"Trust region","score":0.4247153401374817},{"id":"https://openalex.org/keywords/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.41314971446990967},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.4130798876285553},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33958420157432556},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31909632682800293},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.27427220344543457},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.1884031593799591},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16870549321174622},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1583620011806488},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.08809089660644531}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8959805965423584},{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.798722505569458},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.6611793637275696},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.5828360915184021},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5018608570098877},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.4999377727508545},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.49369654059410095},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.4717470109462738},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.45928525924682617},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4509042799472809},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.44921305775642395},{"id":"https://openalex.org/C63548660","wikidata":"https://www.wikidata.org/wiki/Q858223","display_name":"Limit point","level":2,"score":0.44759517908096313},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.44088178873062134},{"id":"https://openalex.org/C206818286","wikidata":"https://www.wikidata.org/wiki/Q7449403","display_name":"Semidefinite embedding","level":4,"score":0.4395178258419037},{"id":"https://openalex.org/C89109886","wikidata":"https://www.wikidata.org/wiki/Q1535924","display_name":"Trust region","level":3,"score":0.4247153401374817},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.41314971446990967},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.4130798876285553},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33958420157432556},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31909632682800293},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.27427220344543457},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.1884031593799591},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16870549321174622},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1583620011806488},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.08809089660644531},{"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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10898-004-8276-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-004-8276-x","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.75.8705","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.75.8705","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.washington.edu/~tseng/papers/qpas_box.ps","raw_type":"text"},{"id":"pmh:oai:RePEc:spr:jglopt:v:30:y:2004:i:2:p:285-300","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10898-004-8276-x","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W147998453","https://openalex.org/W316693750","https://openalex.org/W1971926417","https://openalex.org/W1973633794","https://openalex.org/W1977191278","https://openalex.org/W1977208335","https://openalex.org/W1978235473","https://openalex.org/W1978913642","https://openalex.org/W1981648990","https://openalex.org/W1982325686","https://openalex.org/W1982929029","https://openalex.org/W1986984076","https://openalex.org/W1998713333","https://openalex.org/W2011934229","https://openalex.org/W2015797314","https://openalex.org/W2018478336","https://openalex.org/W2019725228","https://openalex.org/W2026021734","https://openalex.org/W2030190255","https://openalex.org/W2049432961","https://openalex.org/W2051882843","https://openalex.org/W2057185554","https://openalex.org/W2063549526","https://openalex.org/W2067001781","https://openalex.org/W2086920040","https://openalex.org/W2094291659","https://openalex.org/W2129264186","https://openalex.org/W2138449322","https://openalex.org/W2157036632","https://openalex.org/W2209526309","https://openalex.org/W2270436539","https://openalex.org/W2334285086","https://openalex.org/W2611147814","https://openalex.org/W3140400264","https://openalex.org/W4206734951","https://openalex.org/W4235202054","https://openalex.org/W4250915400","https://openalex.org/W4251295118","https://openalex.org/W4393000237"],"related_works":["https://openalex.org/W3140730696","https://openalex.org/W3141756429","https://openalex.org/W2377285242","https://openalex.org/W1471633572","https://openalex.org/W2095374904","https://openalex.org/W2479259565","https://openalex.org/W4295120756","https://openalex.org/W1580352598","https://openalex.org/W3154036230","https://openalex.org/W1967862529"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
