{"id":"https://openalex.org/W2071285512","doi":"https://doi.org/10.1007/s10589-013-9607-y","title":"A derivative-free algorithm for linearly constrained optimization problems","display_name":"A derivative-free algorithm for linearly constrained optimization problems","publication_year":2013,"publication_date":"2013-10-02","ids":{"openalex":"https://openalex.org/W2071285512","doi":"https://doi.org/10.1007/s10589-013-9607-y","mag":"2071285512"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-013-9607-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-013-9607-y","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","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/A5036559081","display_name":"Elzain A. E. Gumma","orcid":null},"institutions":[{"id":"https://openalex.org/I263913023","display_name":"International University of Africa","ror":"https://ror.org/029jt9a82","country_code":"SD","type":"education","lineage":["https://openalex.org/I263913023"]}],"countries":["SD"],"is_corresponding":true,"raw_author_name":"E. A. E. Gumma","raw_affiliation_strings":["Department of Mathematics, Faculty of Pure and Applied Sciences, International University of Africa, P.O. Box: 2469, Khartoum, Sudan","Department of Mathematics, Faculty of Pure and Applied Sciences, International University of Africa, Khartoum, Sudan#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Pure and Applied Sciences, International University of Africa, P.O. Box: 2469, Khartoum, Sudan","institution_ids":["https://openalex.org/I263913023"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Pure and Applied Sciences, International University of Africa, Khartoum, Sudan#TAB#","institution_ids":["https://openalex.org/I263913023"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072191121","display_name":"Mohsin Hashim","orcid":null},"institutions":[{"id":"https://openalex.org/I150406212","display_name":"University of Khartoum","ror":"https://ror.org/02jbayz55","country_code":"SD","type":"education","lineage":["https://openalex.org/I150406212"]}],"countries":["SD"],"is_corresponding":false,"raw_author_name":"M. H. A. Hashim","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Khartoum, P.O. Box: 321, Khartoum, Sudan","Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Khartoum, Khartoum, Sudan"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Khartoum, P.O. Box: 321, Khartoum, Sudan","institution_ids":["https://openalex.org/I150406212"]},{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Khartoum, Khartoum, Sudan","institution_ids":["https://openalex.org/I150406212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008314297","display_name":"M. Montaz Ali","orcid":"https://orcid.org/0000-0003-0864-8146"},"institutions":[{"id":"https://openalex.org/I192619145","display_name":"University of the Witwatersrand","ror":"https://ror.org/03rp50x72","country_code":"ZA","type":"education","lineage":["https://openalex.org/I192619145"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"M. Montaz Ali","raw_affiliation_strings":["School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa","School of Computational & Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa","institution_ids":["https://openalex.org/I192619145"]},{"raw_affiliation_string":"School of Computational & Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa#TAB#","institution_ids":["https://openalex.org/I192619145"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5036559081"],"corresponding_institution_ids":["https://openalex.org/I263913023"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.358,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.87811298,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"57","issue":"3","first_page":"599","last_page":"621"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994999766349792,"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":0.9914000034332275,"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":0.8554645776748657},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5603614449501038},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.5557830333709717},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5160807967185974},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.4948088526725769},{"id":"https://openalex.org/keywords/inverse-quadratic-interpolation","display_name":"Inverse quadratic interpolation","score":0.4460752308368683},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4448085129261017},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43790683150291443},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43742966651916504},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4305413067340851},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.42839452624320984},{"id":"https://openalex.org/keywords/second-derivative","display_name":"Second derivative","score":0.4253329634666443},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.42179927229881287},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4188598692417145},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.3336893916130066},{"id":"https://openalex.org/keywords/polynomial-interpolation","display_name":"Polynomial interpolation","score":0.28909605741500854},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1545361578464508},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.1187034547328949},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1096203625202179},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07529354095458984}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8554645776748657},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5603614449501038},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.5557830333709717},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5160807967185974},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.4948088526725769},{"id":"https://openalex.org/C143542097","wikidata":"https://www.wikidata.org/wiki/Q3153554","display_name":"Inverse quadratic interpolation","level":5,"score":0.4460752308368683},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4448085129261017},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43790683150291443},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43742966651916504},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4305413067340851},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.42839452624320984},{"id":"https://openalex.org/C33257320","wikidata":"https://www.wikidata.org/wiki/Q1932744","display_name":"Second derivative","level":2,"score":0.4253329634666443},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.42179927229881287},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4188598692417145},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.3336893916130066},{"id":"https://openalex.org/C88080468","wikidata":"https://www.wikidata.org/wiki/Q637347","display_name":"Polynomial interpolation","level":4,"score":0.28909605741500854},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1545361578464508},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.1187034547328949},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1096203625202179},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07529354095458984},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10589-013-9607-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-013-9607-y","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:coopap:v:57:y:2014:i:3:p:599-621","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10589-013-9607-y","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":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.5400000214576721}],"awards":[],"funders":[{"id":"https://openalex.org/F4320324166","display_name":"African Institute for Mathematical Sciences","ror":"https://ror.org/02f9k5d27"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W147998453","https://openalex.org/W1491103246","https://openalex.org/W1748199557","https://openalex.org/W1977244564","https://openalex.org/W1978630505","https://openalex.org/W2041461390","https://openalex.org/W2043626538","https://openalex.org/W2051598083","https://openalex.org/W2071436527","https://openalex.org/W2077658674","https://openalex.org/W2081968760","https://openalex.org/W2086518770","https://openalex.org/W2112449769","https://openalex.org/W2155382668","https://openalex.org/W2163913714","https://openalex.org/W2266946488","https://openalex.org/W3012317737","https://openalex.org/W4212997115","https://openalex.org/W4240022917","https://openalex.org/W4291236916"],"related_works":["https://openalex.org/W1489242104","https://openalex.org/W2163356401","https://openalex.org/W2384877220","https://openalex.org/W2366182368","https://openalex.org/W1997157706","https://openalex.org/W2979794985","https://openalex.org/W1994139365","https://openalex.org/W4291450282","https://openalex.org/W2353965037","https://openalex.org/W2383644786"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
